Edit Profile (opens in new tab) Hughes, Thomas J. R. Co-Author Distance 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: 330 Publications since 1973, including 6 Books and 3 Additional arXiv Preprints 20 Contributions as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 234 Co-Authors with 332 Joint Publications 5,768 Co-Co-Authors all top 5 Co-Authors 17 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. 19 Zhang, Yongjie Jessica 15 Reali, Alessandro 13 Hiemstra, René R. 13 Johan, Zdeněk 12 Sangalli, Giancarlo 12 Schillinger, Dominik 12 Toshniwal, Deepesh 11 Hsu, Ming-Chen 10 Borden, Michael J. 10 Landis, Chad M. 9 Gómez, Héctor J. 9 Liu, Wing Kam 9 Oberai, Assad A. 9 Taylor, Robert Leroy 8 Brooks, Alexander N. 8 Cottrell, J. Austin 8 Harari, Isaac 8 Wei, Xiaodong 7 Auricchio, Ferdinando 7 Brezzi, Franco 7 Mallet, Michel 7 Marsden, Jerrold Eldon 7 Mazzei, Luca 7 Oden, John Tinsley 7 Sauer, Roger A. 6 Masud, Arif 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 Li, Xin 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 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 4 Zou, Zhihui 3 Abdelmalik, Michael R. A. 3 Anvari, Amin 3 Bajaj, Chandrajit L. 3 Barbosa, Helio José Corrêa 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 Shepherd, Kendrick M. 3 Simo, Juan Carlos 3 Tessler, Alexander 3 Wells, Garth N. 2 Babuška, Ivo 2 Baidoo, Frimpong A. 2 Baroli, Davide 2 Bochev, Pavel B. 2 Figueroa, C. Alberto 2 Hartmann, Stefan 2 Hossain, Shaolie S. 2 Kunoth, Angela 2 Malkus, David S. 2 Mandadapu, Kranthi K. 2 Michler, Christian 2 Mika, Michal L. ...and 138 more Co-Authors all top 5 Serials 164 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 1 Research Notes in Mathematics (San Francisco) all top 5 Fields 169 Numerical analysis (65-XX) 158 Mechanics of deformable solids (74-XX) 144 Fluid mechanics (76-XX) 27 Partial differential equations (35-XX) 23 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) 6 Computer science (68-XX) 4 History and biography (01-XX) 4 Probability theory and stochastic processes (60-XX) 3 Differential geometry (53-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 313 Publications have been cited 32,922 times in 12,738 Documents Cited by ▼ Year ▼ Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Zbl 1151.74419 Hughes, T. J. R.; Cottrell, J. A.; Bazilevs, Y. 2,053 2005 Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Zbl 0497.76041 Brooks, Alexander N.; Hughes, Thomas J. R. 1,665 1982 Isogeometric analysis. Toward integration of CAD and FEA. Zbl 1378.65009 Cottrell, J. Austin; Hughes, Thomas J. R.; Bazilevs, Yuri 1,324 2009 Computational inelasticity. Zbl 0934.74003 Simo, J. C.; Hughes, T. J. R. 949 1998 The finite element method. Linear static and dynamic finite element analysis. Zbl 0634.73056 Hughes, Thomas J. R. 888 1987 Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Zbl 0866.76044 Hughes, Thomas J. R. 858 1995 Mathematical foundations of elasticity. Zbl 0545.73031 Marsden, Jerrold E.; Hughes, Thomas J. R. 755 1983 The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525 Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste 695 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 0622.76077 Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc 636 1986 The finite element method. Linear static and dynamic finite element analysis. Reprint of the 1987 original ed. Zbl 1191.74002 Hughes, Thomas J. R. 622 2000 A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. Zbl 0697.76100 Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M. 569 1989 Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039 Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K. 502 1981 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Zbl 1169.76352 Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Hughes, T. J. R.; Reali, A.; Scovazzi, G. 480 2007 Isogeometric analysis using T-splines. Zbl 1227.74123 Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W. 478 2010 Isogeometric analysis of structural vibrations. Zbl 1119.74024 Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R. 471 2006 Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015 Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y. 430 2008 A phase-field description of dynamic brittle fracture. Zbl 1253.74089 Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M. 421 2012 Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113 Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G. 383 2006 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Zbl 1161.74020 Bazilevs, Y.; Calo, V. M.; Zhang, Y.; Hughes, T. J. R. 314 2006 Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524 Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R. 306 2008 Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407 Cottrell, J. A.; Hughes, T. J. R.; Reali, A. 304 2007 Large eddy simulation and the variational multiscale method. Zbl 0998.76040 Hughes, Thomas J. R.; Mazzei, Luca; Jansen, Kenneth E. 278 2000 Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075 Malkus, David S.; Hughes, Thomas J. R. 278 1978 Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040 Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R. 269 1992 A multi-dimensional upwind scheme with no crosswind diffusion. Zbl 0423.76067 Hughes, T. J. R.; Brooks, A. 268 1979 Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107 Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R. 267 2010 Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029 Hughes, T. J. R.; Reali, A.; Sangalli, G. 259 2010 An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055 Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 243 2012 Weak imposition of Dirichlet boundary conditions in fluid mechanics. Zbl 1115.76040 Bazilevs, Y.; Hughes, T. J. R. 234 2007 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053 Hughes, Thomas J. R. 233 1980 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 1086.74038 Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L. 226 2002 A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074 Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira 223 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 0572.76068 Hughes, T. J. R.; Franca, L. P.; Mallet, M. 218 1986 Large eddy simulation of turbulent channel flows by the variational multiscale method. Zbl 1184.76237 Hughes, Thomas J. R.; Oberai, Assad A.; Mazzei, Luca 217 2001 A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems. Zbl 0622.76075 Hughes, Thomas J. R.; Mallet, Michel 213 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 0635.76067 Hughes, Thomas J. R.; Franca, Leopoldo P. 208 1987 Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063 Hughes, Thomas J. R.; Hulbert, Gregory M. 204 1988 Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. Zbl 0542.76093 Hughes, T. J. R.; Tezduyar, T. E. 202 1984 Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS. Zbl 1194.74114 Hughes, T. J. R.; Reali, A.; Sangalli, G. 200 2008 Isogeometric collocation methods. Zbl 1226.65091 Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 196 2010 Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097 Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R. 192 2011 An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273 Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 183 2015 Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element. Zbl 0459.73069 Hughes, T. J. R.; Tezduyar, T. E. 179 1981 Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Zbl 1229.74096 Bazilevs, Y.; Gohean, J. R.; Hughes, T. J. R.; Moser, R. D.; Zhang, Y. 178 2009 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156 Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 175 2013 Local refinement of analysis-suitable T-splines. Zbl 1243.65030 Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 172 2012 The multiscale formulation of large eddy simulation: decay of homogeneous isotropic turbulence. Zbl 1184.76236 Hughes, Thomas J. R.; Mazzei, Luca; Oberai, Assad A.; Wray, Alan A. 171 2001 Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174 Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R. 170 2013 A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework. Zbl 1296.74098 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Verhoosel, Clemens V. 167 2014 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077 Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 164 2011 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046 Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E. 163 1977 \(b=\int g\). Zbl 0904.76041 Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 163 1997 \(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements. Zbl 1194.74518 Elguedj, T.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R. 163 2008 Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes. Zbl 1406.76023 Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 159 2010 \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method. Zbl 1227.65093 Evans, John A.; Bazilevs, Yuri; Babuška, Ivo; Hughes, Thomas J. R. 158 2009 Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243 Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R. 155 2011 NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043 Bazilevs, Y.; Hughes, T. J. R. 148 2008 Variational multiscale analysis: The fine-scale Green’s function, projection, optimization, localization, and stabilized methods. Zbl 1152.65111 Hughes, T. J. R.; Sangalli, G. 145 2007 On the variational foundations of assumed strain methods. Zbl 0592.73019 Simo, J. C.; Hughes, T. J. R. 144 1986 Improving stability of stabilized and multiscale formulations in flow simulations at small time steps. Zbl 1406.76028 Hsu, M.-C.; Bazilevs, Y.; Calo, V. M.; Tezduyar, T. E.; Hughes, T. J. R. 143 2010 A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems. Zbl 0587.76120 Hughes, Thomas J. R.; Mallet, Michel 142 1986 Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081 Hughes, Thomas J. R.; Winget, James 142 1980 Finite element modeling of blood in arteries. Zbl 0953.76058 Taylor, Charles A.; Hughes, Thomas J. R.; Zarins, Christopher K. 140 1998 A simple and efficient finite element for plate bending. Zbl 0363.73067 Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak 138 1977 A stabilized mixed finite element method for Darcy flow. Zbl 1015.76047 Masud, Arif; Hughes, Thomas J. R. 136 2002 Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow. Zbl 1121.76076 Zhang, Yongjie; Bazilevs, Yuri; Goswami, Samrat; Bajaj, Chandrajit L.; Hughes, Thomas J. R. 135 2007 Robustness of isogeometric structural discretizations under severe mesh distortion. Zbl 1227.74112 Lipton, S.; Evans, J. A.; Bazilevs, Y.; Elguedj, T.; Hughes, T. J. R. 134 2010 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439 Gomez, Hector; Hughes, Thomas J. R. 130 2011 The role of continuity in residual-based variational multiscale modeling of turbulence. Zbl 1162.76355 Akkerman, I.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Hulshoff, S. 128 2008 Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains. Zbl 0762.76053 Harari, Isaac; Hughes, Thomas J. R. 128 1992 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305 Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 128 2012 Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation. Zbl 1311.74039 Hsu, Ming-Chen; Kamensky, David; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 127 2014 Space-time finite element methods for second-order hyperbolic equations. Zbl 0754.73085 Hulbert, Gregory M.; Hughes, Thomas J. R. 125 1990 Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397 Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 124 2007 A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Zbl 1439.74343 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J. 121 2016 Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126 Temizer, Ị.; Wriggers, P.; Hughes, T. J. R. 120 2011 Finite element analysis of incompressible viscous flows by the penalty function formulation. Zbl 0412.76023 Hughes, Thomas J. R.; Liu, Wing Kam; Brooks, Alec 120 1979 Nonlinear finite element analysis of shells. I. Three-dimensional shells. Zbl 0461.73061 Hughes, Thomas J. R.; Liu, Wing Kam 118 1981 Two classes of mixed finite element methods. Zbl 0629.73053 Franca, Leopoldo P.; Hughes, Thomas J. R. 114 1988 A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis. Zbl 1348.65059 Auricchio, F.; Calabrò, F.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 112 2012 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 0635.76066 Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel 111 1987 Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076 Hughes, T. J. R.; Liu, W. K. 111 1978 Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems. Zbl 1296.65148 Hughes, Thomas J. R.; Evans, John A.; Reali, Alessandro 108 2014 On linear independence of T-spline blending functions. Zbl 1251.65012 Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A. 107 2012 A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems. Zbl 0899.76259 Masud, Arif; Hughes, Thomas J. R. 106 1997 A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. Zbl 1126.76029 Figueroa, C. Alberto; Vignon-Clementel, Irene E.; Jansen, Kenneth E.; Hughes, Thomas J. R.; Taylor, Charles A. 104 2006 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337 Evans, John A.; Hughes, Thomas J. R. 101 2013 The continuous Galerkin method is locally conservative. Zbl 0969.65104 Hughes, Thomas J. R.; Engel, Gerald; Mazzei, Luca; Larson, Mats G. 99 2000 Product formulas and numerical algorithms. Zbl 0358.65082 Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 98 1978 The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition. Zbl 0764.73077 Barbosa, Helio J. C.; Hughes, Thomas J. R. 96 1991 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224 Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 96 2012 A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177 Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T. 96 2010 Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191 Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M. 94 2010 What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods. Zbl 0764.73083 Harari, Isaac; Hughes, Thomas J. R. 92 1992 Finite element methods for the Helmholtz equation in an exterior domain: Model problems. Zbl 0760.76047 Harari, Isaac; Hughes, Thomas J. R. 91 1991 A comparative study of different sets of variables for solving compressible and incompressible flows. Zbl 0957.76028 Hauke, Guillermo; Hughes, Thomas J. R. 90 1998 A finite element method for a class of contact-impact problems. Zbl 0367.73075 Hughes, Thomas J. R.; Taylor, Robert L.; Sackman, Jerome L.; Curnier, Alain; Kanoknukulchai, Worsak 88 1976 On drilling degrees of freedom. Zbl 0691.73015 Hughes, Thomas J. R.; Brezzi, F. 86 1989 A matrix-free implicit iterative solver for compressible flow problems. Zbl 0838.76040 Johan, Z.; Hughes, T. J. R.; Shakib, F. 84 1991 Blended isogeometric shells. Zbl 1297.74114 Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 84 2013 Analysis-suitable unstructured T-splines: multiple extraordinary points per face. Zbl 1507.65048 Wei, Xiaodong; Li, Xin; Qian, Kuanren; Hughes, Thomas J. R.; Zhang, Yongjie Jessica; Casquero, Hugo 15 2022 Efficient and robust quadratures for isogeometric analysis: reduced Gauss and Gauss-Greville rules. Zbl 1507.65068 Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Miao, Di; Sauer, R. A. 10 2022 Discontinuous Galerkin methods through the Lens of variational multiscale analysis. Zbl 1507.76123 Stoter, Stein K. F.; Cockburn, Bernardo; Hughes, Thomas J. R.; Schillinger, Dominik 3 2022 Feature-aware reconstruction of trimmed splines using Ricci flow with metric optimization. Zbl 1507.65108 Shepherd, Kendrick M.; Gu, Xianfeng David; Hughes, Thomas J. R. 3 2022 A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen-Loève expansion. Zbl 1511.74065 Mika, Michal L.; Hiemstra, René R.; Schillinger, Dominik; Hughes, Thomas J. R. 1 2022 The density of the \((\alpha ,d,\beta)\)-superprocess and singular solutions to a fractional non-linear PDE. Zbl 1494.35159 Hughes, Thomas 1 2022 Simulating the spread of COVID-19 via a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion. Zbl 1448.92349 Viguerie, Alex; Lorenzo, Guillermo; Auricchio, Ferdinando; Baroli, Davide; Hughes, Thomas J. R.; Patton, Alessia; Reali, Alessandro; Yankeelov, Thomas E.; Veneziani, Alessandro 44 2021 Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements. Zbl 1506.74463 Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Sauer, R. A.; Savitha, E. J. 23 2021 Smooth multi-patch discretizations in isogeometric analysis. Zbl 1473.65302 Hughes, Thomas J. R.; Sangalli, Giancarlo; Takacs, Thomas; Toshniwal, Deepesh 13 2021 The divergence-conforming immersed boundary method: application to vesicle and capsule dynamics. Zbl 07508482 Casquero, Hugo; Bona-Casas, Carles; Toshniwal, Deepesh; Hughes, Thomas J. R.; Gomez, Hector; Zhang, Yongjie Jessica 11 2021 Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions. Zbl 1507.65130 Hiemstra, René R.; Hughes, Thomas J. R.; Reali, Alessandro; Schillinger, Dominik 10 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 1506.74419 Mika, Michal L.; Hughes, Thomas J. R.; Schillinger, Dominik; Wriggers, Peter; Hiemstra, René R. 7 2021 Isogeometric discrete differential forms: non-uniform degrees, Bézier extraction, polar splines and flows on surfaces. Zbl 1506.65230 Toshniwal, Deepesh; Hughes, Thomas J. R. 7 2021 Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study. Zbl 1469.92127 Viguerie, Alex; Veneziani, Alessandro; Lorenzo, Guillermo; Baroli, Davide; Aretz-Nellesen, Nicole; Patton, Alessia; Yankeelov, Thomas E.; Reali, Alessandro; Hughes, Thomas J. R.; Auricchio, Ferdinando 32 2020 Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines. Zbl 1441.74111 Casquero, Hugo; Wei, Xiaodong; Toshniwal, Deepesh; Li, Angran; Hughes, Thomas J. R.; Kiendl, Josef; Zhang, Yongjie Jessica 31 2020 Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034 Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R. 16 2020 An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS. Zbl 1464.74150 Paul, Karsten; Zimmermann, Christopher; Mandadapu, Kranthi K.; Hughes, Thomas J. R.; Landis, Chad M.; Sauer, Roger A. 16 2020 Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity. Zbl 1506.74060 Fahrendorf, Frederik; Morganti, Simone; Reali, Alessandro; Hughes, Thomas J. R.; De Lorenzis, Laura 13 2020 Computational cardiovascular analysis with the variational multiscale methods and isogeometric discretization. Zbl 1454.65119 Hughes, Thomas J. R.; Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen 12 2020 Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization. Zbl 1506.65036 Hiemstra, René R.; Shepherd, Kendrick M.; Johnson, Michael J.; Quan, Lulin; Hughes, Thomas J. R. 11 2020 A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004 Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh 9 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 1439.74204 Lorenzo, 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 1441.74244 Hiemstra, René R.; Sangalli, Giancarlo; Tani, Mattia; Calabrò, Francesco; Hughes, Thomas J. R. 26 2019 An isogeometric finite element formulation for phase transitions on deforming surfaces. Zbl 1441.74286 Zimmermann, Christopher; Toshniwal, Deepesh; Landis, Chad M.; Hughes, Thomas J. R.; Mandadapu, Kranthi K.; Sauer, Roger A. 25 2019 Isogeometric boundary element methods and patch tests for linear elastic problems: formulation, numerical integration, and applications. Zbl 1442.65418 Taus, 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 1470.65018 Toshniwal, 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 1440.74397 Guo, Yujie; Heller, Jason; Hughes, Thomas J. R.; Ruess, Martin; Schillinger, Dominik 50 2018 Explicit higher-order accurate isogeometric collocation methods for structural dynamics. Zbl 1440.74464 Evans, J. A.; Hiemstra, R. R.; Hughes, T. J. R.; Reali, A. 31 2018 Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis. Zbl 1440.65021 Wei, Xiaodong; Zhang, Yongjie Jessica; Toshniwal, Deepesh; Speleers, Hendrik; Li, Xin; Manni, Carla; Evans, John A.; Hughes, Thomas J. R. 26 2018 Error estimates for projection-based dynamic augmented Lagrangian boundary condition enforcement, with application to fluid-structure interaction. Zbl 1411.74059 Yu, Yue; Kamensky, David; Hsu, Ming-Chen; Lu, Xin Yang; Bazilevs, Yuri; Hughes, Thomas J. R. 25 2018 Improved conditioning of isogeometric analysis matrices for trimmed geometries. Zbl 1440.74426 Marussig, Benjamin; Hiemstra, René; Hughes, Thomas J. R. 17 2018 Isogeometric analysis: mathematical and implementational aspects, with applications. Zbl 1410.65451 Hughes, Thomas J. R.; Sangalli, Giancarlo; Tani, Mattia 7 2018 Phase-field formulation for ductile fracture. Zbl 1493.74007 Borden, 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 1439.65017 Toshniwal, Deepesh; Speleers, Hendrik; Hughes, Thomas J. R. 68 2017 Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis. Zbl 1439.65016 Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Hughes, Thomas J. R. 49 2017 Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis. Zbl 1439.65170 Hiemstra, René R.; Calabrò, Francesco; Schillinger, Dominik; Hughes, Thomas J. R. 48 2017 Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines. Zbl 1439.76077 Kamensky, David; Hsu, Ming-Chen; Yu, Yue; Evans, John A.; Sacks, Michael S.; Hughes, Thomas J. R. 46 2017 Truncated T-splines: fundamentals and methods. Zbl 1439.65018 Wei, Xiaodong; Zhang, Yongjie; Liu, Lei; Hughes, Thomas J. R. 32 2017 Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth. Zbl 1439.74203 Lorenzo, G.; Scott, M. A.; Tew, K.; Hughes, T. J. R.; Gomez, H. 24 2017 A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. Zbl 1439.76184 Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R. 16 2017 Truncated hierarchical tricubic \(C^0\) spline construction on unstructured hexahedral meshes for isogeometric analysis applications. Zbl 1396.65022 Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R. 12 2017 A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Zbl 1439.74343 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J. 121 2016 Extended truncated hierarchical Catmull-Clark subdivision. Zbl 1425.65037 Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.; Scott, Michael A. 23 2016 Isogeometric analysis of boundary integral equations: high-order collocation methods for the singular and hyper-singular equations. Zbl 1343.65143 Taus, Matthias; Rodin, Gregory J.; Hughes, Thomas J. R. 13 2016 A palette of fine-scale eddy viscosity and residual-based models for variational multiscale formulations of turbulence. Zbl 1382.76143 Oberai, Assad A.; Hughes, Thomas J. R. 3 2016 An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273 Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 183 2015 Isogeometric collocation: Neumann boundary conditions and contact. Zbl 1423.74947 De Lorenzis, L.; Evans, J. A.; Hughes, T. J. R.; Reali, A. 68 2015 Selective and reduced numerical integrations for NURBS-based isogeometric analysis. Zbl 1425.65138 Adam, C.; Hughes, T. J. R.; Bouabdallah, S.; Zarroug, M.; Maitournam, H. 59 2015 Single-variable formulations and isogeometric discretizations for shear deformable beams. Zbl 1423.74492 Kiendl, J.; Auricchio, F.; Hughes, T. J. R.; Reali, A. 58 2015 Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028 Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A. 50 2015 Isogeometric collocation for large deformation elasticity and frictional contact problems. Zbl 1423.74649 Kruse, R.; Nguyen-Thanh, N.; De Lorenzis, L.; Hughes, T. J. R. 46 2015 A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065 Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H. 40 2015 Patient-specific isogeometric structural analysis of aortic valve closure. Zbl 1423.92015 Morganti, S.; Auricchio, F.; Benson, D. J.; Gambarin, F. I.; Hartmann, S.; Hughes, T. J. R.; Reali, A. 39 2015 Liquid-vapor phase transition: thermomechanical theory, entropy stable numerical formulation, and boiling simulations. Zbl 1423.76456 Liu, Ju; Landis, Chad M.; Gomez, Hector; Hughes, Thomas J. R. 34 2015 An introduction to isogeometric collocation methods. Zbl 1327.74144 Reali, Alessandro; Hughes, Thomas J. R. 30 2015 A collocated \(C^0\) finite element method: reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics. Zbl 1352.74433 Schillinger, Dominik; Evans, John A.; Frischmann, Felix; Hiemstra, René R.; Hsu, Ming-Chen; Hughes, Thomas J. R. 15 2015 A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework. Zbl 1296.74098 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Verhoosel, Clemens V. 167 2014 Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation. Zbl 1311.74039 Hsu, Ming-Chen; Kamensky, David; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R. 127 2014 Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems. Zbl 1296.65148 Hughes, Thomas J. R.; Evans, John A.; Reali, Alessandro 108 2014 Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis. Zbl 1425.65177 Schillinger, Dominik; Hossain, Shaikh J.; Hughes, Thomas J. R. 72 2014 Isogeometric contact: a review. Zbl 1308.74114 De Lorenzis, Laura; Wriggers, Peter; Hughes, Thomas J. R. 59 2014 Isogeometric boundary-element analysis for the wave-resistance problem using T-splines. Zbl 1423.74270 Ginnis, A. I.; Kostas, K. V.; Politis, C. G.; Kaklis, P. D.; Belibassakis, K. A.; Gerostathis, Th. P.; Scott, M. A.; Hughes, T. J. R. 31 2014 Isogeometric analysis of nearly incompressible large strain plasticity. Zbl 1295.74019 Elguedj, T.; Hughes, T. J. R. 17 2014 A residual based eddy viscosity model for the large eddy simulation of turbulent flows. Zbl 1423.76163 Oberai, A. A.; Liu, J.; Sondak, D.; Hughes, T. J. R. 10 2014 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156 Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 175 2013 Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174 Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R. 170 2013 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337 Evans, John A.; Hughes, Thomas J. R. 101 2013 Blended isogeometric shells. Zbl 1297.74114 Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 84 2013 Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations. Zbl 1349.76054 Evans, John A.; Hughes, Thomas J. R. 80 2013 Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow. Zbl 1311.76069 Liu, Ju; Dedè, Luca; Evans, John A.; Borden, Micheal J.; Hughes, Thomas J. R. 63 2013 Conformal solid T-spline construction from boundary T-spline representations. Zbl 1367.65024 Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R. 46 2013 Isogeometric divergence-conforming B-splines for the Darcy-Stokes-Brinkman equations. Zbl 1355.76064 Evans, John A.; Hughes, Thomas J. R. 46 2013 Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements. Zbl 1259.65169 Evans, John A.; Hughes, Thomas J. R. 34 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 1349.76237 Liu, Ju; Gomez, Hector; Evans, John A.; Hughes, Thomas J. R.; Landis, Chad M. 31 2013 Simulation of laminar and turbulent concentric pipe flows with the isogeometric variational multiscale method. Zbl 1365.76033 Ghaffari Motlagh, Yousef; Ahn, Hyung Taek; Hughes, Thomas J. R.; Calo, Victor M. 16 2013 A phase-field description of dynamic brittle fracture. Zbl 1253.74089 Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M. 421 2012 An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055 Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 243 2012 Local refinement of analysis-suitable T-splines. Zbl 1243.65030 Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 172 2012 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305 Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 128 2012 A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis. Zbl 1348.65059 Auricchio, F.; Calabrò, F.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 112 2012 On linear independence of T-spline blending functions. Zbl 1251.65012 Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A. 107 2012 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224 Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 96 2012 Solid T-spline construction from boundary representations for genus-zero geometry. Zbl 1348.65057 Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R. 83 2012 Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130 Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R. 82 2012 Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline. Zbl 1312.65197 Wang, Wenyan; Zhang, Yongjie; Xu, Guoliang; Hughes, Thomas J. R. 31 2012 Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls. Zbl 1366.92059 Hossain, Shaolie S.; Hossainy, Syed F. A.; Bazilevs, Yuri; Calo, Victor M.; Hughes, Thomas J. R. 27 2012 Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall. Zbl 1365.76079 Chang, K.; Hughes, T. J. R.; Calo, V. M. 21 2012 A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements. Zbl 1242.74109 Duddu, Ravindra; Lavier, Luc L.; Hughes, Thomas J. R.; Calo, Victor M. 17 2012 Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem. Zbl 1311.76024 Evans, John A.; Hughes, Thomas J. R. 13 2012 Generalization of the twist-Kirchhoff theory of plate elements to arbitrary quadrilaterals and assessment of convergence. Zbl 1243.74187 Santos, 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 1242.74097 Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R. 192 2011 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077 Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 164 2011 Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243 Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R. 155 2011 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439 Gomez, Hector; Hughes, Thomas J. R. 130 2011 Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126 Temizer, Ị.; Wriggers, P.; Hughes, T. J. R. 120 2011 An isogeometric analysis approach to gradient damage models. Zbl 1235.74320 Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René 75 2011 An isogeometric approach to cohesive zone modeling. Zbl 1242.74169 Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R. 59 2011 Converting an unstructured quadrilateral mesh to a standard T-spline surface. Zbl 1248.65024 Wang, Wenyan; Zhang, Yongjie; Scott, Michael A.; Hughes, Thomas J. R. 31 2011 Residual-based variational multiscale theory of LES turbulence modeling. Zbl 1323.76032 Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Scovazzi, G. 7 2011 ...and 213 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 14,391 Authors 227 Hughes, Thomas J. 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Dayanand 27 Wheeler, Mary Fanett 26 Behr, Marek A. 26 Bletzinger, Kai-Uwe 26 Hachem, Elie 26 Hesch, Christian 26 Marsden, Alison L. 26 Nakshatrala, Kalyana B. 26 Nguyen-Thoi, Trung 26 Shadid, John N. 26 Soares, Delfim jun. 26 Yang, Xiaofeng 25 Korobenko, Artem 25 Langer, Ulrich ...and 14,291 more Authors all top 5 Cited in 448 Serials 3,881 Computer Methods in Applied Mechanics and Engineering 800 Journal of Computational Physics 799 International Journal for Numerical Methods in Engineering 730 Computational Mechanics 327 Computers & Mathematics with Applications 294 Computers and Fluids 270 Journal of Computational and Applied Mathematics 211 Engineering Analysis with Boundary Elements 198 Journal of Scientific Computing 186 International Journal for Numerical Methods in Fluids 161 Applied Mathematical Modelling 153 European Journal of Mechanics. A. 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