Edit Profile (opens in new tab) Hughes, Thomas J. R. Compute Distance To: Compute Author ID: hughes.thomas-j-r Published as: Hughes, Thomas J. R.; Hughes, T. J. R. Homepage: http://users.ices.utexas.edu/~hughes/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 323 Publications since 1973, including 6 Books 20 Contributions as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 228 Co-Authors with 326 Joint Publications 5,611 Co-Co-Authors all top 5 Co-Authors 16 single-authored 35 Bazilevs, Yuri 26 Evans, John A. 21 Calo, Victor Manuel 21 Franca, Leopoldo Luis Cabo Penna 21 Scott, Michael A. 19 Tezduyar, Tayfun E. 18 Zhang, Yongjie Jessica 15 Reali, Alessandro 13 Johan, Zdeněk 12 Hiemstra, René R. 12 Sangalli, Giancarlo 12 Schillinger, Dominik 12 Toshniwal, Deepesh 11 Hsu, Ming-Chen 10 Landis, Chad M. 9 Gómez, Héctor J. 9 Liu, Wing Kam 9 Taylor, Robert Leroy 8 Borden, Michael J. 8 Brooks, Alexander N. 8 Cottrell, J. Austin 8 Harari, Isaac 8 Oberai, Assad A. 7 Auricchio, Ferdinando 7 Brezzi, Franco 7 Mallet, Michel 7 Marsden, Jerrold Eldon 7 Mazzei, Luca 7 Oden, John Tinsley 7 Wei, Xiaodong 6 Masud, Arif 6 Sauer, Roger A. 6 Scovazzi, Guglielmo 6 Speleers, Hendrik 6 Stewart, James R. 5 Belytschko, Ted Bohdan 5 Benson, David J. 5 Ferencz, Robert M. 5 Jansen, Kenneth E. 5 Loula, Abimael Fernando Dourado 5 Sederberg, Thomas W. 5 Shakib, Farzin 5 Verhoosel, Clemens V. 5 Winget, James M. 4 Argyris, John Hadji 4 Beirão da Veiga, Lourenço 4 Carnoy, Eric G. 4 de Lorenzis, Laura 4 Garikipati, Krishna 4 Hauke, Guillermo 4 Hulbert, Gregory M. 4 Johnsson, S. Lennart 4 Kamensky, David 4 Li, Xin 4 Liu, Ju 4 Lorenzo, Guillermo 4 Manni, Carla 4 Mathur, Kapil K. 4 Miranda, Isidoro 4 Taylor, Charles A. 4 Wang, Wenyan 4 Wriggers, Peter 3 Anvari, Amin 3 Bajaj, Chandrajit L. 3 Barbosa, Hélio José C. 3 Buffa, Annalisa 3 Calabró, Francesco 3 Casquero, Hugo 3 de Borst, René 3 Dede’, Luca 3 Elguedj, Thomas 3 Engel, Gerald 3 Kanok-Nukulchai, Worsak 3 Kiendl, Josef 3 Larson, Mats G. 3 Lee, Isaac J. 3 Levit, Itzhak 3 Lipton, S. 3 Marini, Luisa Donatella 3 Rifai, Steven M. 3 Russo, Alessandro 3 Sacks, Michael S. 3 Simo, Juan Carlos 3 Tessler, Alexander 3 Wells, Garth N. 3 Zou, Zhihui 2 Babuška, Ivo 2 Baroli, Davide 2 Bochev, Pavel B. 2 Borden, Micheal J. 2 Figueroa, C. Alberto 2 Hartmann, Stefan 2 Kunoth, Angela 2 Malkus, David S. 2 Mandadapu, Kranthi K. 2 Michler, Christian 2 Mika, Michal L. 2 Mizukami, Akira 2 Morganti, Simone 2 Papadrakakis, Manolis ...and 132 more Co-Authors all top 5 Serials 160 Computer Methods in Applied Mechanics and Engineering 19 International Journal for Numerical Methods in Engineering 14 Computational Mechanics 8 Journal of Computational Physics 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Journal of Applied Mechanics 6 Computers and Structures 5 International Journal for Numerical Methods in Fluids 4 Computers and Fluids 4 SIAM Journal on Numerical Analysis 4 Physics of Fluids 3 Numerische Mathematik 3 Computer Aided Geometric Design 3 AMD-Volumes 2 Finite Elements in Analysis and Design 2 Journal of Scientific Computing 2 Oberwolfach Reports 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 International Journal of Non-Linear Mechanics 1 International Journal of Solids and Structures 1 Mathematical Biosciences 1 Reports on Mathematical Physics 1 Journal of Computational and Applied Mathematics 1 Rendiconti del Seminario Matematico 1 Advances in Engineering Software 1 Parallel Computing 1 Communications in Applied Numerical Methods 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Surveys on Mathematics for Industry 1 Journal of Elasticity 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Advances in Computational Mathematics 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 Archives of Computational Methods in Engineering 1 GAMM-Mitteilungen 1 Interdisciplinary Applied Mathematics 1 Mathematics Lecture Series 1 Mechanics and Mathematical Methods. First Series: Computational Methods in Mechanics all top 5 Fields 166 Numerical analysis (65-XX) 158 Mechanics of deformable solids (74-XX) 142 Fluid mechanics (76-XX) 27 Partial differential equations (35-XX) 22 Biology and other natural sciences (92-XX) 21 General and overarching topics; collections (00-XX) 9 Approximations and expansions (41-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 History and biography (01-XX) 4 Computer science (68-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 310 Publications have been cited 29,231 times in 11,441 Documents Cited by ▼ Year ▼ Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Zbl 1151.74419Hughes, T. J. R.; Cottrell, J. A.; Bazilevs, Y. 1,792 2005 Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Zbl 0497.76041Brooks, Alexander N.; Hughes, Thomas J. R. 1,551 1982 Isogeometric analysis. Toward integration of CAD and FEA. Zbl 1378.65009Cottrell, J. Austin; Hughes, Thomas J. R.; Bazilevs, Yuri 1,149 2009 Computational inelasticity. Zbl 0934.74003Simo, J. C.; Hughes, T. J. R. 841 1998 Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Zbl 0866.76044Hughes, Thomas J. R. 795 1995 Mathematical foundations of elasticity. Zbl 0545.73031Marsden, Jerrold E.; Hughes, Thomas J. R. 702 1983 The finite element method. Linear static and dynamic finite element analysis. Zbl 0634.73056Hughes, Thomas J. R. 628 1987 The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste 623 1998 A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Zbl 0622.76077Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc 603 1986 A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. Zbl 0697.76100Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M. 528 1989 Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K. 464 1981 The finite element method. Linear static and dynamic finite element analysis. Reprint of the 1987 original ed. Zbl 1191.74002Hughes, Thomas J. R. 457 2000 Isogeometric analysis using T-splines. Zbl 1227.74123Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W. 443 2010 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Zbl 1169.76352Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Hughes, T. J. R.; Reali, A.; Scovazzi, G. 424 2007 Isogeometric analysis of structural vibrations. Zbl 1119.74024Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R. 421 2006 Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y. 385 2008 Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G. 350 2006 A phase-field description of dynamic brittle fracture. Zbl 1253.74089Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M. 345 2012 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Zbl 1161.74020Bazilevs, Y.; Calo, V. M.; Zhang, Y.; Hughes, T. J. R. 289 2006 Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407Cottrell, J. A.; Hughes, T. J. R.; Reali, A. 273 2007 Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R. 271 2008 Large eddy simulation and the variational multiscale method. Zbl 0998.76040Hughes, Thomas J. R.; Mazzei, Luca; Jansen, Kenneth E. 258 2000 Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R. 253 1992 Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075Malkus, David S.; Hughes, Thomas J. R. 253 1978 Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R. 238 2010 Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029Hughes, T. J. R.; Reali, A.; Sangalli, G. 235 2010 A multi-dimensional upwind scheme with no crosswind diffusion. Zbl 0423.76067Hughes, T. J. R.; Brooks, A. 230 1979 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053Hughes, Thomas J. R. 214 1980 An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 212 2012 Weak imposition of Dirichlet boundary conditions in fluid mechanics. Zbl 1115.76040Bazilevs, Y.; Hughes, T. J. R. 209 2007 A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics. Zbl 0572.76068Hughes, T. J. R.; Franca, L. P.; Mallet, M. 209 1986 Large eddy simulation of turbulent channel flows by the variational multiscale method. Zbl 1184.76237Hughes, Thomas J. R.; Oberai, Assad A.; Mazzei, Luca 203 2001 A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems. Zbl 0622.76075Hughes, Thomas J. R.; Mallet, Michel 203 1986 Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Zbl 1086.74038Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L. 203 2002 A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira 198 1986 A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. Zbl 0635.76067Hughes, Thomas J. R.; Franca, Leopoldo P. 196 1987 Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. Zbl 0542.76093Hughes, T. J. R.; Tezduyar, T. E. 195 1984 Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063Hughes, Thomas J. R.; Hulbert, Gregory M. 185 1988 Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS. Zbl 1194.74114Hughes, T. J. R.; Reali, A.; Sangalli, G. 176 2008 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 175 2010 Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element. Zbl 0459.73069Hughes, T. J. R.; Tezduyar, T. E. 171 1981 Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R. 170 2011 Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Zbl 1229.74096Bazilevs, Y.; Gohean, J. R.; Hughes, T. J. R.; Moser, R. D.; Zhang, Y. 165 2009 The multiscale formulation of large eddy simulation: decay of homogeneous isotropic turbulence. Zbl 1184.76236Hughes, Thomas J. R.; Mazzei, Luca; Oberai, Assad A.; Wray, Alan A. 163 2001 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 162 2013 Local refinement of analysis-suitable T-splines. Zbl 1243.65030Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 157 2012 Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R. 153 2013 \(b=\int g\). Zbl 0904.76041Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 153 1997 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 150 2011 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E. 149 1977 An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 146 2015 A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework. Zbl 1296.74098Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Verhoosel, Clemens V. 145 2014 Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes. Zbl 1406.76023Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 144 2010 \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method. Zbl 1227.65093Evans, John A.; Bazilevs, Yuri; Babuška, Ivo; Hughes, Thomas J. R. 142 2009 \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements. Zbl 1194.74518Elguedj, T.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R. 141 2008 On the variational foundations of assumed strain methods. Zbl 0592.73019Simo, J. C.; Hughes, T. J. R. 138 1986 Improving stability of stabilized and multiscale formulations in flow simulations at small time steps. Zbl 1406.76028Hsu, M.-C.; Bazilevs, Y.; Calo, V. M.; Tezduyar, T. E.; Hughes, T. J. R. 138 2010 Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R. 134 2011 A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems. Zbl 0587.76120Hughes, Thomas J. R.; Mallet, Michel 134 1986 A simple and efficient finite element for plate bending. Zbl 0363.73067Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak 133 1977 Finite element modeling of blood in arteries. Zbl 0953.76058Taylor, Charles A.; Hughes, Thomas J. R.; Zarins, Christopher K. 132 1998 Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081Hughes, Thomas J. R.; Winget, James 131 1980 NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043Bazilevs, Y.; Hughes, T. J. R. 129 2008 Variational multiscale analysis: The fine-scale Green’s function, projection, optimization, localization, and stabilized methods. Zbl 1152.65111Hughes, T. J. R.; Sangalli, G. 128 2007 Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains. Zbl 0762.76053Harari, Isaac; Hughes, Thomas J. R. 125 1992 A stabilized mixed finite element method for Darcy flow. Zbl 1015.76047Masud, Arif; Hughes, Thomas J. R. 125 2002 Robustness of isogeometric structural discretizations under severe mesh distortion. Zbl 1227.74112Lipton, S.; Evans, J. A.; Bazilevs, Y.; Elguedj, T.; Hughes, T. J. R. 124 2010 Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow. Zbl 1121.76076Zhang, Yongjie; Bazilevs, Yuri; Goswami, Samrat; Bajaj, Chandrajit L.; Hughes, Thomas J. R. 121 2007 The role of continuity in residual-based variational multiscale modeling of turbulence. Zbl 1162.76355Akkerman, I.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Hulshoff, S. 120 2008 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 115 2012 Finite element analysis of incompressible viscous flows by the penalty function formulation. Zbl 0412.76023Hughes, Thomas J. R.; Liu, Wing Kam; Brooks, Alec 114 1979 Nonlinear finite element analysis of shells. I. Three-dimensional shells. Zbl 0461.73061Hughes, Thomas J. R.; Liu, Wing Kam 114 1981 Space-time finite element methods for second-order hyperbolic equations. Zbl 0754.73085Hulbert, Gregory M.; Hughes, Thomas J. R. 112 1990 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439Gomez, Hector; Hughes, Thomas J. R. 111 2011 Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 110 2007 Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076Hughes, T. J. R.; Liu, W. K. 108 1978 Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation. Zbl 1311.74039Hsu, Ming-Chen; Kamensky, David; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 107 2014 Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126Temizer, Ị.; Wriggers, P.; Hughes, T. J. R. 105 2011 A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems. Zbl 0635.76066Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel 105 1987 A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems. Zbl 0899.76259Masud, Arif; Hughes, Thomas J. R. 102 1997 Two classes of mixed finite element methods. Zbl 0629.73053Franca, Leopoldo P.; Hughes, Thomas J. R. 101 1988 A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis. Zbl 1348.65059Auricchio, F.; Calabrò, F.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 99 2012 On linear independence of T-spline blending functions. Zbl 1251.65012Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A. 98 2012 A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. Zbl 1126.76029Figueroa, C. Alberto; Vignon-Clementel, Irene E.; Jansen, Kenneth E.; Hughes, Thomas J. R.; Taylor, Charles A. 95 2006 Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems. Zbl 1296.65148Hughes, Thomas J. R.; Evans, John A.; Reali, Alessandro 94 2014 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 94 1978 Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M. 90 2010 A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T. 90 2010 The continuous Galerkin method is locally conservative. Zbl 0969.65104Hughes, Thomas J. R.; Engel, Gerald; Mazzei, Luca; Larson, Mats G. 90 2000 The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition. Zbl 0764.73077Barbosa, Helio J. C.; Hughes, Thomas J. R. 89 1991 Finite element methods for the Helmholtz equation in an exterior domain: Model problems. Zbl 0760.76047Harari, Isaac; Hughes, Thomas J. R. 87 1991 What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods. Zbl 0764.73083Harari, Isaac; Hughes, Thomas J. R. 86 1992 A matrix-free implicit iterative solver for compressible flow problems. Zbl 0838.76040Johan, Z.; Hughes, T. J. R.; Shakib, F. 84 1991 On drilling degrees of freedom. Zbl 0691.73015Hughes, Thomas J. R.; Brezzi, F. 84 1989 A comparative study of different sets of variables for solving compressible and incompressible flows. Zbl 0957.76028Hauke, Guillermo; Hughes, Thomas J. R. 82 1998 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337Evans, John A.; Hughes, Thomas J. R. 82 2013 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 79 2012 Implicit-explicit finite elements in transient analysis: Implementation and numerical examples. Zbl 0392.73077Hughes, T. J. R.; Liu, W. K. 78 1978 An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body. Zbl 0756.76047Nomura, Takashi; Hughes, Thomas J. R. 77 1992 Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R. 76 2012 Analysis-suitable unstructured T-splines: multiple extraordinary points per face. Zbl 1507.65048Wei, Xiaodong; Li, Xin; Qian, Kuanren; Hughes, Thomas J. R.; Zhang, Yongjie Jessica; Casquero, Hugo 5 2022 Efficient and robust quadratures for isogeometric analysis: reduced Gauss and Gauss-Greville rules. Zbl 1507.65068Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Miao, Di; Sauer, R. A. 5 2022 Discontinuous Galerkin methods through the Lens of variational multiscale analysis. Zbl 1507.76123Stoter, Stein K. F.; Cockburn, Bernardo; Hughes, Thomas J. R.; Schillinger, Dominik 1 2022 The density of the \((\alpha ,d,\beta)\)-superprocess and singular solutions to a fractional non-linear PDE. Zbl 1494.35159Hughes, Thomas 1 2022 Feature-aware reconstruction of trimmed splines using Ricci flow with metric optimization. Zbl 1507.65108Shepherd, Kendrick M.; Gu, Xianfeng David; Hughes, Thomas J. R. 1 2022 Simulating the spread of COVID-19 via a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion. Zbl 1448.92349Viguerie, Alex; Lorenzo, Guillermo; Auricchio, Ferdinando; Baroli, Davide; Hughes, Thomas J. R.; Patton, Alessia; Reali, Alessandro; Yankeelov, Thomas E.; Veneziani, Alessandro 26 2021 Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements. Zbl 1506.74463Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Sauer, R. A.; Savitha, E. J. 14 2021 The divergence-conforming immersed boundary method: application to vesicle and capsule dynamics. Zbl 07508482Casquero, Hugo; Bona-Casas, Carles; Toshniwal, Deepesh; Hughes, Thomas J. R.; Gomez, Hector; Zhang, Yongjie Jessica 8 2021 Smooth multi-patch discretizations in isogeometric analysis. Zbl 1473.65302Hughes, Thomas J. R.; Sangalli, Giancarlo; Takacs, Thomas; Toshniwal, Deepesh 7 2021 Isogeometric discrete differential forms: non-uniform degrees, Bézier extraction, polar splines and flows on surfaces. Zbl 1506.65230Toshniwal, Deepesh; Hughes, Thomas J. R. 5 2021 Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions. Zbl 1507.65130Hiemstra, René R.; Hughes, Thomas J. R.; Reali, Alessandro; Schillinger, Dominik 5 2021 A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature. Zbl 1506.74419Mika, Michal L.; Hughes, Thomas J. R.; Schillinger, Dominik; Wriggers, Peter; Hiemstra, René R. 4 2021 Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines. Zbl 1441.74111Casquero, Hugo; Wei, Xiaodong; Toshniwal, Deepesh; Li, Angran; Hughes, Thomas J. R.; Kiendl, Josef; Zhang, Yongjie Jessica 21 2020 Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study. Zbl 1469.92127Viguerie, Alex; Veneziani, Alessandro; Lorenzo, Guillermo; Baroli, Davide; Aretz-Nellesen, Nicole; Patton, Alessia; Yankeelov, Thomas E.; Reali, Alessandro; Hughes, Thomas J. R.; Auricchio, Ferdinando 19 2020 Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R. 13 2020 An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS. Zbl 1464.74150Paul, Karsten; Zimmermann, Christopher; Mandadapu, Kranthi K.; Hughes, Thomas J. R.; Landis, Chad M.; Sauer, Roger A. 12 2020 Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity. Zbl 1506.74060Fahrendorf, Frederik; Morganti, Simone; Reali, Alessandro; Hughes, Thomas J. R.; De Lorenzis, Laura 9 2020 Computational cardiovascular analysis with the variational multiscale methods and isogeometric discretization. Zbl 1454.65119Hughes, Thomas J. R.; Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen 7 2020 A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh 7 2020 Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization. Zbl 1506.65036Hiemstra, René R.; Shepherd, Kendrick M.; Johnson, Michael J.; Quan, Lulin; Hughes, Thomas J. R. 7 2020 A numerical simulation study of the dual role of \(5\alpha\)-reductase inhibitors on tumor growth in prostates enlarged by benign prostatic hyperplasia via stress relaxation and apoptosis upregulation. Zbl 1439.74204Lorenzo, Guillermo; Hughes, T. J. R.; Reali, A.; Gomez, H. 1 2020 Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity. Zbl 1441.74244Hiemstra, René R.; Sangalli, Giancarlo; Tani, Mattia; Calabrò, Francesco; Hughes, Thomas J. R. 16 2019 An isogeometric finite element formulation for phase transitions on deforming surfaces. Zbl 1441.74286Zimmermann, Christopher; Toshniwal, Deepesh; Landis, Chad M.; Hughes, Thomas J. R.; Mandadapu, Kranthi K.; Sauer, Roger A. 15 2019 Isogeometric boundary element methods and patch tests for linear elastic problems: formulation, numerical integration, and applications. Zbl 1442.65418Taus, Matthias; Rodin, Gregory J.; Hughes, Thomas J. R.; Scott, Michael A. 12 2019 Polynomial splines of non-uniform degree on triangulations: combinatorial bounds on the dimension. Zbl 1470.65018Toshniwal, Deepesh; Hughes, Thomas J. R. 5 2019 Mathematical foundations of isogeometric analysis. Abstracts from the workshop held July 14–20, 2019. Zbl 1450.00007 1 2019 Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format. Zbl 1440.74397Guo, Yujie; Heller, Jason; Hughes, Thomas J. R.; Ruess, Martin; Schillinger, Dominik 25 2018 Error estimates for projection-based dynamic augmented Lagrangian boundary condition enforcement, with application to fluid-structure interaction. Zbl 1411.74059Yu, Yue; Kamensky, David; Hsu, Ming-Chen; Lu, Xin Yang; Bazilevs, Yuri; Hughes, Thomas J. R. 21 2018 Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis. Zbl 1440.65021Wei, Xiaodong; Zhang, Yongjie Jessica; Toshniwal, Deepesh; Speleers, Hendrik; Li, Xin; Manni, Carla; Evans, John A.; Hughes, Thomas J. R. 18 2018 Explicit higher-order accurate isogeometric collocation methods for structural dynamics. Zbl 1440.74464Evans, J. A.; Hiemstra, R. R.; Hughes, T. J. R.; Reali, A. 13 2018 Improved conditioning of isogeometric analysis matrices for trimmed geometries. Zbl 1440.74426Marussig, Benjamin; Hiemstra, René; Hughes, Thomas J. R. 9 2018 Isogeometric analysis: mathematical and implementational aspects, with applications. Zbl 1410.65451Hughes, Thomas J. R.; Sangalli, Giancarlo; Tani, Mattia 5 2018 Phase-field formulation for ductile fracture. Zbl 1493.74007Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J. 1 2018 Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations. Zbl 1439.65017Toshniwal, Deepesh; Speleers, Hendrik; Hughes, Thomas J. R. 31 2017 Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis. Zbl 1439.65016Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Hughes, Thomas J. R. 23 2017 Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines. Zbl 1439.76077Kamensky, David; Hsu, Ming-Chen; Yu, Yue; Evans, John A.; Sacks, Michael S.; Hughes, Thomas J. R. 21 2017 Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis. Zbl 1439.65170Hiemstra, René R.; Calabrò, Francesco; Schillinger, Dominik; Hughes, Thomas J. R. 18 2017 Truncated hierarchical tricubic \(C^0\) spline construction on unstructured hexahedral meshes for isogeometric analysis applications. Zbl 1396.65022Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R. 10 2017 Truncated T-splines: fundamentals and methods. Zbl 1439.65018Wei, Xiaodong; Zhang, Yongjie; Liu, Lei; Hughes, Thomas J. R. 10 2017 Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth. Zbl 1439.74203Lorenzo, G.; Scott, M. A.; Tew, K.; Hughes, T. J. R.; Gomez, H. 9 2017 A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. Zbl 1439.76184Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R. 7 2017 A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Zbl 1439.74343Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J. 63 2016 Extended truncated hierarchical Catmull-Clark subdivision. Zbl 1425.65037Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.; Scott, Michael A. 18 2016 Isogeometric analysis of boundary integral equations: high-order collocation methods for the singular and hyper-singular equations. Zbl 1343.65143Taus, Matthias; Rodin, Gregory J.; Hughes, Thomas J. R. 12 2016 A palette of fine-scale eddy viscosity and residual-based models for variational multiscale formulations of turbulence. Zbl 1382.76143Oberai, Assad A.; Hughes, Thomas J. R. 1 2016 An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 146 2015 Isogeometric collocation: Neumann boundary conditions and contact. Zbl 1423.74947De Lorenzis, L.; Evans, J. A.; Hughes, T. J. R.; Reali, A. 51 2015 Single-variable formulations and isogeometric discretizations for shear deformable beams. Zbl 1423.74492Kiendl, J.; Auricchio, F.; Hughes, T. J. R.; Reali, A. 45 2015 Selective and reduced numerical integrations for NURBS-based isogeometric analysis. Zbl 1425.65138Adam, C.; Hughes, T. J. R.; Bouabdallah, S.; Zarroug, M.; Maitournam, H. 43 2015 Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A. 38 2015 Isogeometric collocation for large deformation elasticity and frictional contact problems. Zbl 1423.74649Kruse, R.; Nguyen-Thanh, N.; De Lorenzis, L.; Hughes, T. J. R. 32 2015 A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H. 32 2015 Patient-specific isogeometric structural analysis of aortic valve closure. Zbl 1423.92015Morganti, S.; Auricchio, F.; Benson, D. J.; Gambarin, F. I.; Hartmann, S.; Hughes, T. J. R.; Reali, A. 29 2015 An introduction to isogeometric collocation methods. Zbl 1327.74144Reali, Alessandro; Hughes, Thomas J. R. 26 2015 Liquid-vapor phase transition: thermomechanical theory, entropy stable numerical formulation, and boiling simulations. Zbl 1423.76456Liu, Ju; Landis, Chad M.; Gomez, Hector; Hughes, Thomas J. R. 24 2015 A collocated \(C^0\) finite element method: reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics. Zbl 1352.74433Schillinger, Dominik; Evans, John A.; Frischmann, Felix; Hiemstra, René R.; Hsu, Ming-Chen; Hughes, Thomas J. R. 9 2015 A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework. Zbl 1296.74098Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Verhoosel, Clemens V. 145 2014 Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation. Zbl 1311.74039Hsu, Ming-Chen; Kamensky, David; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 107 2014 Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems. Zbl 1296.65148Hughes, Thomas J. R.; Evans, John A.; Reali, Alessandro 94 2014 Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis. Zbl 1425.65177Schillinger, Dominik; Hossain, Shaikh J.; Hughes, Thomas J. R. 62 2014 Isogeometric contact: a review. Zbl 1308.74114De Lorenzis, Laura; Wriggers, Peter; Hughes, Thomas J. R. 46 2014 Isogeometric boundary-element analysis for the wave-resistance problem using T-splines. Zbl 1423.74270Ginnis, A. I.; Kostas, K. V.; Politis, C. G.; Kaklis, P. D.; Belibassakis, K. A.; Gerostathis, Th. P.; Scott, M. A.; Hughes, T. J. R. 29 2014 Isogeometric analysis of nearly incompressible large strain plasticity. Zbl 1295.74019Elguedj, T.; Hughes, T. J. R. 14 2014 A residual based eddy viscosity model for the large eddy simulation of turbulent flows. Zbl 1423.76163Oberai, A. A.; Liu, J.; Sondak, D.; Hughes, T. J. R. 9 2014 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 162 2013 Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R. 153 2013 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337Evans, John A.; Hughes, Thomas J. R. 82 2013 Blended isogeometric shells. Zbl 1297.74114Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 76 2013 Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations. Zbl 1349.76054Evans, John A.; Hughes, Thomas J. R. 66 2013 Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow. Zbl 1311.76069Liu, Ju; Dedè, Luca; Evans, John A.; Borden, Micheal J.; Hughes, Thomas J. R. 57 2013 Conformal solid T-spline construction from boundary T-spline representations. Zbl 1367.65024Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R. 44 2013 Isogeometric divergence-conforming B-splines for the Darcy-Stokes-Brinkman equations. Zbl 1355.76064Evans, John A.; Hughes, Thomas J. R. 36 2013 Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements. Zbl 1259.65169Evans, John A.; Hughes, Thomas J. R. 30 2013 Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations. Zbl 1349.76237Liu, Ju; Gomez, Hector; Evans, John A.; Hughes, Thomas J. R.; Landis, Chad M. 28 2013 Simulation of laminar and turbulent concentric pipe flows with the isogeometric variational multiscale method. Zbl 1365.76033Ghaffari Motlagh, Yousef; Ahn, Hyung Taek; Hughes, Thomas J. R.; Calo, Victor M. 13 2013 A phase-field description of dynamic brittle fracture. Zbl 1253.74089Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M. 345 2012 An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 212 2012 Local refinement of analysis-suitable T-splines. Zbl 1243.65030Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 157 2012 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 115 2012 A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis. Zbl 1348.65059Auricchio, F.; Calabrò, F.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 99 2012 On linear independence of T-spline blending functions. Zbl 1251.65012Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A. 98 2012 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 79 2012 Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R. 76 2012 Solid T-spline construction from boundary representations for genus-zero geometry. Zbl 1348.65057Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R. 74 2012 Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline. Zbl 1312.65197Wang, Wenyan; Zhang, Yongjie; Xu, Guoliang; Hughes, Thomas J. R. 30 2012 Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls. Zbl 1366.92059Hossain, Shaolie S.; Hossainy, Syed F. A.; Bazilevs, Yuri; Calo, Victor M.; Hughes, Thomas J. R. 25 2012 Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall. Zbl 1365.76079Chang, K.; Hughes, T. J. R.; Calo, V. M. 19 2012 Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem. Zbl 1311.76024Evans, John A.; Hughes, Thomas J. R. 13 2012 A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements. Zbl 1242.74109Duddu, Ravindra; Lavier, Luc L.; Hughes, Thomas J. R.; Calo, Victor M. 12 2012 Generalization of the twist-Kirchhoff theory of plate elements to arbitrary quadrilaterals and assessment of convergence. Zbl 1243.74187Santos, H. A. F. A.; Evans, John A.; Hughes, Thomas J. R. 2 2012 Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R. 170 2011 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 150 2011 Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R. 134 2011 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439Gomez, Hector; Hughes, Thomas J. R. 111 2011 Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126Temizer, Ị.; Wriggers, P.; Hughes, T. J. R. 105 2011 An isogeometric analysis approach to gradient damage models. Zbl 1235.74320Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René 69 2011 An isogeometric approach to cohesive zone modeling. Zbl 1242.74169Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R. 56 2011 Converting an unstructured quadrilateral mesh to a standard T-spline surface. Zbl 1248.65024Wang, Wenyan; Zhang, Yongjie; Scott, Michael A.; Hughes, Thomas J. R. 32 2011 Residual-based variational multiscale theory of LES turbulence modeling. Zbl 1323.76032Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Scovazzi, G. 7 2011 New rectangular plate elements based on twist-Kirchhoff theory. Zbl 1230.74170Brezzi, F.; Evans, J. A.; Hughes, T. J. R.; Marini, L. D. 5 2011 ...and 210 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 13,044 Authors 218 Hughes, Thomas J. R. 187 Tezduyar, Tayfun E. 122 Bazilevs, Yuri 105 Codina, Ramon 99 Rabczuk, Timon 97 Takizawa, Kenji 71 Liu, Wing Kam 66 Calo, Victor Manuel 66 Oñate Ibáñez de Navarra, Eugenio 64 Wriggers, Peter 62 Wall, Wolfgang A. 60 Hsu, Ming-Chen 59 Belytschko, Ted Bohdan 56 Reali, Alessandro 55 Liu, Gui-Rong 55 Sangalli, Giancarlo 53 Zhang, Yongjie Jessica 49 Masud, Arif 47 Beirão da Veiga, Lourenço 45 Franca, Leopoldo Luis Cabo Penna 45 Harari, Isaac 45 Nguyen-Xuan, Hung 45 Simo, Juan Carlos 44 Jüttler, Bert 43 Evans, John A. 43 Schillinger, Dominik 42 de Lorenzis, Laura 41 Buffa, Annalisa 41 John, Volker 40 Auricchio, Ferdinando 40 Bordas, Stéphane Pierre Alain 40 de Borst, René 38 Gómez, Héctor J. 38 Quarteroni, Alfio M. 38 Scovazzi, Guglielmo 38 Steinmann, Paul 36 Burman, Erik 36 Idelsohn, Sergio Rodolfo 36 Kiendl, Josef 35 Badia, Santiago 35 Bui, Tinh Quoc 35 Larson, Mats G. 35 Rank, Ernst 35 Speleers, Hendrik 35 Wick, Thomas 34 Oberai, Assad A. 33 Abgrall, Rémi 33 Coutinho, Alvaro L. G. A. 33 Hansbo, Peter 33 Manni, Carla 32 Farhat, Charbel H. 32 Ibrahimbegović, Adnan 32 Scott, Michael A. 31 Benson, David J. 31 Chung, Tsz Shun Eric 31 He, Yinnian 31 Taylor, Robert Leroy 31 Van Brummelen, Harald 30 Loula, Abimael Fernando Dourado 30 Ortiz, Michael 29 Hauke, Guillermo 29 Marsden, Jerrold Eldon 29 Miehe, Christian 29 Perić, Djordje 29 Tamma, Kumar K. 29 Wohlmuth, Barbara I. 29 Zhuang, Xiaoying 28 Baiges, Joan 28 Düster, Alexander 28 Fish, Jacob 28 Gravemeier, Volker 28 Reddy, B. Dayanand 28 Sauer, Roger A. 27 Efendiev, Yalchin R. 27 Feng, Minfu 26 Chen, Jiun-Shyan 26 Givoli, Dan 26 Verhoosel, Clemens V. 25 Dede’, Luca 25 Li, Xin 25 Marsden, Alison L. 25 Nguyen-Thoi, Trung 25 Shadid, John N. 25 Waisman, Haim 25 Yavari, Arash 24 Bletzinger, Kai-Uwe 24 Kollmannsberger, Stefan 24 Simeon, Bernd 24 Soares, Delfim jun. 24 Wheeler, Mary Fanett 23 Anitescu, Cosmin 23 Areias, Pedro M. A. 23 Betsch, Peter 23 Borja, Ronaldo I. 23 Gravouil, Anthony 23 Huerta, Antonio 23 Langer, Ulrich 23 Lovadina, Carlo 23 Lube, Gert 23 Nakshatrala, K. B. ...and 12,944 more Authors all top 5 Cited in 420 Serials 3,423 Computer Methods in Applied Mechanics and Engineering 749 Journal of Computational Physics 693 Computational Mechanics 687 International Journal for Numerical Methods in Engineering 285 Computers & Mathematics with Applications 279 Computers and Fluids 250 Journal of Computational and Applied Mathematics 194 Engineering Analysis with Boundary Elements 186 International Journal for Numerical Methods in Fluids 180 Journal of Scientific Computing 147 Communications in Numerical Methods in Engineering 139 European Journal of Mechanics. A. Solids 137 Applied Mathematical Modelling 129 Applied Mathematics and Computation 126 Applied Numerical Mathematics 125 Acta Mechanica 114 SIAM Journal on Scientific Computing 99 Numerische Mathematik 96 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 89 Journal of the Mechanics and Physics of Solids 89 Computer Aided Geometric Design 81 Mathematics of Computation 81 Archives of Computational Methods in Engineering 77 International Journal of Computational Fluid Dynamics 73 International Journal of Computational Methods 65 Journal of Elasticity 63 SIAM Journal on Numerical Analysis 60 Journal of Fluid Mechanics 57 Numerical Methods for Partial Differential Equations 56 International Journal of Solids and Structures 52 International Journal of Engineering Science 51 Archive for Rational Mechanics and Analysis 46 Mathematics and Mechanics of Solids 46 Engineering Computations 44 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 43 Physics of Fluids 42 Computational Geosciences 37 Applied Mathematics and Mechanics. (English Edition) 37 Mathematical Problems in Engineering 36 Mathematics and Computers in Simulation 36 Multiscale Modeling & Simulation 35 Meccanica 33 International Journal for Numerical and Analytical Methods in Geomechanics 33 Archive of Applied Mechanics 33 International Journal for Numerical Methods in Biomedical Engineering 31 Journal of Mathematical Analysis and Applications 31 International Journal of Numerical Methods for Heat & Fluid Flow 30 International Journal of Plasticity 30 Continuum Mechanics and Thermodynamics 29 International Journal of Computer Mathematics 29 Advances in Computational Mathematics 29 Communications in Computational Physics 26 ZAMP. Zeitschrift für angewandte Mathematik und Physik 26 Applied Mathematics Letters 25 Multibody System Dynamics 25 Journal of Computational Acoustics 24 Wave Motion 23 Journal of Nonlinear Science 23 Acta Mechanica Sinica 22 International Journal for Computational Methods in Engineering Science and Mechanics 21 Numerical Algorithms 20 Calcolo 20 Advances in Applied Mathematics and Mechanics 19 RAIRO. Modélisation Mathématique et Analyse Numérique 18 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 18 BIT 18 Computational and Applied Mathematics 18 Nonlinear Dynamics 17 Journal of Engineering Mathematics 17 Mathematical and Computer Modelling 17 Communications in Nonlinear Science and Numerical Simulation 17 Journal of Numerical Mathematics 16 Applicable Analysis 16 Computational Methods in Applied Mathematics 16 Structural and Multidisciplinary Optimization 15 European Journal of Mechanics. B. Fluids 15 International Journal of Structural Stability and Dynamics 14 Journal of Non-Newtonian Fluid Mechanics 14 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 13 Journal of Mathematical Physics 13 GAMM-Mitteilungen 12 Discrete and Continuous Dynamical Systems. Series S 11 Computing 11 Abstract and Applied Analysis 11 International Journal of Numerical Analysis and Modeling 11 S\(\vec{\text{e}}\)MA Journal 10 International Journal of Heat and Mass Transfer 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Numerical Functional Analysis and Optimization 10 Physica D 10 Japan Journal of Industrial and Applied Mathematics 10 ETNA. Electronic Transactions on Numerical Analysis 10 Nonlinear Analysis. Theory, Methods & Applications 10 Communications on Applied Mathematics and Computation 9 General Relativity and Gravitation 9 Theoretical and Computational Fluid Dynamics 9 Journal of Geometry and Physics 9 SIAM Journal on Applied Mathematics 9 Computing and Visualization in Science 9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics ...and 320 more Serials all top 5 Cited in 53 Fields 5,657 Mechanics of deformable solids (74-XX) 5,533 Numerical analysis (65-XX) 4,017 Fluid mechanics (76-XX) 1,691 Partial differential equations (35-XX) 464 Biology and other natural sciences (92-XX) 277 Classical thermodynamics, heat transfer (80-XX) 229 Calculus of variations and optimal control; optimization (49-XX) 170 Approximations and expansions (41-XX) 163 Mechanics of particles and systems (70-XX) 156 Geophysics (86-XX) 152 Statistical mechanics, structure of matter (82-XX) 137 Optics, electromagnetic theory (78-XX) 125 Computer science (68-XX) 92 Ordinary differential equations (34-XX) 91 Differential geometry (53-XX) 69 Operations research, mathematical programming (90-XX) 54 Dynamical systems and ergodic theory (37-XX) 53 Linear and multilinear algebra; matrix theory (15-XX) 50 Operator theory (47-XX) 47 Systems theory; control (93-XX) 45 Global analysis, analysis on manifolds (58-XX) 45 Probability theory and stochastic processes (60-XX) 43 Relativity and gravitational theory (83-XX) 32 Statistics (62-XX) 27 Potential theory (31-XX) 27 Integral equations (45-XX) 26 Quantum theory (81-XX) 20 Information and communication theory, circuits (94-XX) 15 Functional analysis (46-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Real functions (26-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 9 General and overarching topics; collections (00-XX) 9 Combinatorics (05-XX) 8 History and biography (01-XX) 8 Commutative algebra (13-XX) 7 Topological groups, Lie groups (22-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 4 Algebraic geometry (14-XX) 4 Integral transforms, operational calculus (44-XX) 4 Astronomy and astrophysics (85-XX) 3 Difference and functional equations (39-XX) 3 Manifolds and cell complexes (57-XX) 2 Mathematical logic and foundations (03-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.