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: 2 Publications Co-Authors: 226 Co-Authors with 326 Joint Publications 5,347 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 Liu, Ju 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 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 130 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 162 Numerical analysis (65-XX) 157 Mechanics of deformable solids (74-XX) 143 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) 11 Approximations and expansions (41-XX) 8 Computer science (68-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 History and biography (01-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-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) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 307 Publications have been cited 28,669 times in 11,212 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. 1,753 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. 1,532 1982 Isogeometric analysis. Toward integration of CAD and FEA. Zbl 1378.65009Cottrell, J. Austin; Hughes, Thomas J. R.; Bazilevs, Yuri 1,113 2009 Computational inelasticity. Zbl 0934.74003Simo, J. C.; Hughes, T. J. R. 827 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. 784 1995 Mathematical foundations of elasticity. Zbl 0545.73031Marsden, Jerrold E.; Hughes, Thomas J. R. 688 1983 The finite element method. Linear static and dynamic finite element analysis. Zbl 0634.73056Hughes, Thomas J. R. 609 1987 The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste 608 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 596 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. 521 1989 Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K. 457 1981 The finite element method. Linear static and dynamic finite element analysis. Reprint of the 1987 original ed. Zbl 1191.74002Hughes, Thomas J. R. 445 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. 435 2010 Isogeometric analysis of structural vibrations. Zbl 1119.74024Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R. 414 2006 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. 414 2007 Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y. 378 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. 344 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. 329 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. 287 2006 Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R. 270 2008 Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407Cottrell, J. A.; Hughes, T. J. R.; Reali, A. 269 2007 Large eddy simulation and the variational multiscale method. Zbl 0998.76040Hughes, Thomas J. R.; Mazzei, Luca; Jansen, Kenneth E. 252 2000 Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R. 251 1992 Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075Malkus, David S.; Hughes, Thomas J. R. 248 1978 Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R. 236 2010 Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029Hughes, T. J. R.; Reali, A.; Sangalli, G. 234 2010 A multi-dimensional upwind scheme with no crosswind diffusion. Zbl 0423.76067Hughes, T. J. R.; Brooks, A. 220 1979 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053Hughes, Thomas J. R. 213 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. 206 2012 Weak imposition of Dirichlet boundary conditions in fluid mechanics. Zbl 1115.76040Bazilevs, Y.; Hughes, T. J. R. 205 2007 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 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. 201 1986 Large eddy simulation of turbulent channel flows by the variational multiscale method. Zbl 1184.76237Hughes, Thomas J. R.; Oberai, Assad A.; Mazzei, Luca 201 2001 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. 200 2002 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 A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira 195 1986 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. 194 1984 Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063Hughes, Thomas J. R.; Hulbert, Gregory M. 180 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. 171 2008 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. 170 1981 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 170 2010 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. 166 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. 163 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. 161 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. 159 2013 Local refinement of analysis-suitable T-splines. Zbl 1243.65030Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 153 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. 151 2013 \(b=\int g\). Zbl 0904.76041Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 150 1997 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 149 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. 147 1977 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. 143 2010 \(\overline {\text B}\) 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. 139 2008 \(n\)-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. 138 2009 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. 137 2015 On the variational foundations of assumed strain methods. Zbl 0592.73019Simo, J. C.; Hughes, T. J. R. 136 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. 136 2010 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. 135 2014 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. 131 1998 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. 131 2011 Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081Hughes, Thomas J. R.; Winget, James 130 1980 NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043Bazilevs, Y.; Hughes, T. J. R. 128 2008 Variational multiscale analysis: The fine-scale Green’s function, projection, optimization, localization, and stabilized methods. Zbl 1152.65111Hughes, T. J. R.; Sangalli, G. 126 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. 123 1992 Robustness of isogeometric structural discretizations under severe mesh distortion. Zbl 1227.74112Lipton, S.; Evans, J. A.; Bazilevs, Y.; Elguedj, T.; Hughes, T. J. R. 123 2010 A stabilized mixed finite element method for Darcy flow. Zbl 1015.76047Masud, Arif; Hughes, Thomas J. R. 120 2002 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 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. 119 2007 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 113 1981 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 111 2012 Space-time finite element methods for second-order hyperbolic equations. Zbl 0754.73085Hulbert, Gregory M.; Hughes, Thomas J. R. 110 1990 Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 109 2007 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439Gomez, Hector; Hughes, Thomas J. R. 108 2011 Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076Hughes, T. J. R.; Liu, W. K. 107 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. 104 2014 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 104 1987 Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126Temizer, Ị.; Wriggers, P.; Hughes, T. J. R. 103 2011 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. 101 1997 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 Two classes of mixed finite element methods. Zbl 0629.73053Franca, Leopoldo P.; Hughes, Thomas J. R. 97 1988 On linear independence of T-spline blending functions. Zbl 1251.65012Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A. 95 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 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 93 1978 Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems. Zbl 1296.65148Hughes, Thomas J. R.; Evans, John A.; Reali, Alessandro 92 2014 The continuous Galerkin method is locally conservative. Zbl 0969.65104Hughes, Thomas J. R.; Engel, Gerald; Mazzei, Luca; Larson, Mats G. 90 2000 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 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 Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M. 88 2010 Finite element methods for the Helmholtz equation in an exterior domain: Model problems. Zbl 0760.76047Harari, Isaac; Hughes, Thomas J. R. 85 1991 What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods. Zbl 0764.73083Harari, Isaac; Hughes, Thomas J. R. 85 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. 80 2013 Implicit-explicit finite elements in transient analysis: Implementation and numerical examples. Zbl 0392.73077Hughes, T. J. R.; Liu, W. K. 77 1978 An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body. Zbl 0756.76047Nomura, Takashi; Hughes, Thomas J. R. 76 1992 Blended isogeometric shells. Zbl 1297.74114Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 76 2013 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 76 2012 Efficient and robust quadratures for isogeometric analysis: reduced Gauss and Gauss-Greville rules. Zbl 07526022Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Miao, Di; Sauer, R. A. 5 2022 Analysis-suitable unstructured T-splines: multiple extraordinary points per face. Zbl 07487654Wei, Xiaodong; Li, Xin; Qian, Kuanren; Hughes, Thomas J. R.; Zhang, Yongjie Jessica; Casquero, Hugo 2 2022 Discontinuous Galerkin methods through the Lens of variational multiscale analysis. Zbl 07442790Stoter, 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 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 21 2021 Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements. Zbl 07414306Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Sauer, R. A.; Savitha, E. J. 9 2021 Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions. Zbl 07427371Hiemstra, René R.; Hughes, Thomas J. R.; Reali, Alessandro; Schillinger, Dominik 5 2021 Isogeometric discrete differential forms: non-uniform degrees, Bézier extraction, polar splines and flows on surfaces. Zbl 07340408Toshniwal, Deepesh; Hughes, Thomas J. R. 4 2021 Smooth multi-patch discretizations in isogeometric analysis. Zbl 1473.65302Hughes, Thomas J. R.; Sangalli, Giancarlo; Takacs, Thomas; Toshniwal, Deepesh 3 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 07340343Mika, Michal L.; Hughes, Thomas J. R.; Schillinger, Dominik; Wriggers, Peter; Hiemstra, René R. 1 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 17 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 17 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 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 Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity. Zbl 07413147Fahrendorf, Frederik; Morganti, Simone; Reali, Alessandro; Hughes, Thomas J. R.; De Lorenzis, Laura 6 2020 Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization. Zbl 07413177Hiemstra, René R.; Shepherd, Kendrick M.; Johnson, Michael J.; Quan, Lulin; Hughes, Thomas J. R. 5 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 3 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. 14 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. 11 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 24 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. 19 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. 16 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. 8 2018 Isogeometric analysis: mathematical and implementational aspects, with applications. Zbl 1410.65451Hughes, Thomas J. R.; Sangalli, Giancarlo; Tani, Mattia 5 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. 30 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. 22 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 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. 16 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. 11 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 Truncated T-splines: fundamentals and methods. Zbl 1439.65018Wei, Xiaodong; Zhang, Yongjie; Liu, Lei; Hughes, Thomas J. R. 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. 6 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. 58 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. 137 2015 Isogeometric collocation: Neumann boundary conditions and contact. Zbl 1423.74947De Lorenzis, L.; Evans, J. A.; Hughes, T. J. R.; Reali, A. 50 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. 42 2015 Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A. 37 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 Isogeometric collocation for large deformation elasticity and frictional contact problems. Zbl 1423.74649Kruse, R.; Nguyen-Thanh, N.; De Lorenzis, L.; Hughes, T. J. R. 31 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. 28 2015 An introduction to isogeometric collocation methods. Zbl 1327.74144Reali, Alessandro; Hughes, Thomas J. R. 24 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. 22 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. 135 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. 104 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 92 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. 44 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. 28 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. 159 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. 151 2013 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337Evans, John A.; Hughes, Thomas J. R. 80 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. 64 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. 56 2013 Conformal solid T-spline construction from boundary T-spline representations. Zbl 1367.65024Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R. 42 2013 Isogeometric divergence-conforming B-splines for the Darcy-Stokes-Brinkman equations. Zbl 1355.76064Evans, John A.; Hughes, Thomas J. R. 35 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. 27 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. 329 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. 206 2012 Local refinement of analysis-suitable T-splines. Zbl 1243.65030Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 153 2012 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 111 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. 95 2012 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 76 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. 70 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. 166 2011 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 149 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. 131 2011 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439Gomez, Hector; Hughes, Thomas J. R. 108 2011 Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126Temizer, Ị.; Wriggers, P.; Hughes, T. J. R. 103 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 Isogeometric analysis. Zbl 1228.65224Hughes, Thomas J. R.; Evans, John A. 1 2011 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. 435 2010 Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R. 236 2010 ...and 207 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,722 Authors 217 Hughes, Thomas J. 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Mathematics 9 SMAI Journal of Computational Mathematics ...and 315 more Serials all top 5 Cited in 53 Fields 5,536 Mechanics of deformable solids (74-XX) 5,325 Numerical analysis (65-XX) 4,038 Fluid mechanics (76-XX) 1,657 Partial differential equations (35-XX) 467 Biology and other natural sciences (92-XX) 282 Classical thermodynamics, heat transfer (80-XX) 222 Calculus of variations and optimal control; optimization (49-XX) 171 Approximations and expansions (41-XX) 164 Geophysics (86-XX) 160 Mechanics of particles and systems (70-XX) 158 Statistical mechanics, structure of matter (82-XX) 155 Optics, electromagnetic theory (78-XX) 137 Computer science (68-XX) 90 Ordinary differential equations (34-XX) 89 Differential geometry (53-XX) 76 Operations research, mathematical programming (90-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 54 Dynamical systems and ergodic theory (37-XX) 52 Systems theory; control (93-XX) 50 Operator theory (47-XX) 44 Probability theory and stochastic processes (60-XX) 43 Relativity and gravitational theory (83-XX) 41 Global analysis, analysis on manifolds (58-XX) 38 Quantum theory (81-XX) 30 Statistics (62-XX) 27 Integral equations (45-XX) 26 Potential theory (31-XX) 18 Information and communication theory, circuits (94-XX) 15 Functional analysis (46-XX) 14 Real functions (26-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Combinatorics (05-XX) 8 General and overarching topics; collections (00-XX) 8 Commutative algebra (13-XX) 7 History and biography (01-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) 3 Difference and functional equations (39-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 2 Mathematical logic and foundations (03-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-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. 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