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. Further Spellings: Hughes, Thomas Joseph Robert Homepage: https://users.oden.utexas.edu/~hughes/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 330 Publications since 1973, including 6 Books and 2 Additional arXiv Preprints 20 Contributions as Editor · 1 Further Contribution Software Indexed: 2 Packages Biographic References: 3 Publications Co-Authors: 240 Co-Authors with 335 Joint Publications 6,073 Co-Co-Authors all top 5 Co-Authors 15 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 16 Reali, Alessandro 13 Hiemstra, René R. 13 Johan, Zdeněk 13 Sangalli, Giancarlo 12 Schillinger, Dominik 12 Toshniwal, Deepesh 11 Hsu, Ming-Chen 10 Borden, Michael J. 10 Landis, Chad M. 10 Liu, Wing Kam 9 Gómez, Héctor J. 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 Abdelmalik, Michael R. A. 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 Anvari, Amin 3 Baidoo, Frimpong A. 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 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 143 more Co-Authors all top 5 Serials 165 Computer Methods in Applied Mechanics and Engineering 21 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 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 171 Numerical analysis (65-XX) 160 Mechanics of deformable solids (74-XX) 144 Fluid mechanics (76-XX) 26 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) 5 Computer science (68-XX) 4 History and biography (01-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) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 320 Publications have been cited 36,837 times in 14,445 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. 2,333 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. 1,786 1982 Isogeometric analysis. Toward integration of CAD and FEA. Zbl 1378.65009 Cottrell, J. Austin; Hughes, Thomas J. R.; Bazilevs, Yuri 1,499 2009 The finite element method. Linear static and dynamic finite element analysis. Zbl 0634.73056 Hughes, Thomas J. R. 1,280 1987 Computational inelasticity. Zbl 0934.74003 Simo, J. C.; Hughes, T. J. R. 1,112 1998 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. 914 1995 Mathematical foundations of elasticity. Zbl 0545.73031 Marsden, Jerrold E.; Hughes, Thomas J. R. 805 1983 The finite element method. Linear static and dynamic finite element analysis. Reprint of the 1987 original ed. Zbl 1191.74002 Hughes, Thomas J. R. 797 2000 The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525 Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste 777 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 678 1986 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. 617 1989 Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039 Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K. 532 1981 Isogeometric analysis of structural vibrations. Zbl 1119.74024 Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R. 521 2006 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. 520 2010 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. 500 2007 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. 488 2012 Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015 Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y. 457 2008 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. 407 2006 Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524 Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R. 342 2008 A multi-dimensional upwind scheme with no crosswind diffusion. Zbl 0423.76067 Hughes, T. J. R.; Brooks, A. 335 1979 Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407 Cottrell, J. A.; Hughes, T. J. R.; Reali, A. 328 2007 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. 325 2006 Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075 Malkus, David S.; Hughes, Thomas J. R. 303 1978 Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107 Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R. 300 2010 Large eddy simulation and the variational multiscale method. Zbl 0998.76040 Hughes, Thomas J. R.; Mazzei, Luca; Jansen, Kenneth E. 294 2000 Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040 Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R. 281 1992 Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029 Hughes, T. J. R.; Reali, A.; Sangalli, G. 278 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. 276 2012 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053 Hughes, Thomas J. R. 256 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. 251 2002 Weak imposition of Dirichlet boundary conditions in fluid mechanics. Zbl 1115.76040 Bazilevs, Y.; Hughes, T. J. R. 250 2007 A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074 Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira 247 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. 238 1986 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. 232 2011 Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063 Hughes, Thomas J. R.; Hulbert, Gregory M. 231 1988 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 228 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 226 2001 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. 223 2008 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. 221 1987 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. 220 2015 Isogeometric collocation methods. Zbl 1226.65091 Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 214 2010 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. 212 1984 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. 196 2013 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. 193 1981 Local refinement of analysis-suitable T-splines. Zbl 1243.65030 Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 192 2012 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. 190 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. 189 2014 Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001 187 2004 \(\overline {\text B}\) 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. 183 2008 \(b=\int g\). Zbl 0904.76041 Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 180 1997 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. 180 2001 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. 179 2009 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077 Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 178 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. 175 1977 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. 171 2011 \(n\)-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. 166 2009 On the variational foundations of assumed strain methods. Zbl 0592.73019 Simo, J. C.; Hughes, T. J. R. 157 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 157 1980 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. 156 2010 Variational multiscale analysis: The fine-scale Green’s function, projection, optimization, localization, and stabilized methods. Zbl 1152.65111 Hughes, T. J. R.; Sangalli, G. 155 2007 NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043 Bazilevs, Y.; Hughes, T. J. R. 152 2008 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 150 1986 Finite element modeling of blood in arteries. Zbl 0953.76058 Taylor, Charles A.; Hughes, Thomas J. R.; Zarins, Christopher K. 147 1998 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439 Gomez, Hector; Hughes, Thomas J. R. 147 2011 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. 146 2010 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. 146 2010 A simple and efficient finite element for plate bending. Zbl 0363.73067 Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak 145 1977 A stabilized mixed finite element method for Darcy flow. Zbl 1015.76047 Masud, Arif; Hughes, Thomas J. R. 145 2002 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305 Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 145 2012 Finite element analysis of incompressible viscous flows by the penalty function formulation. Zbl 0412.76023 Hughes, Thomas J. R.; Liu, Wing Kam; Brooks, Alec 143 1979 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. 143 2016 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. 140 2007 Space-time finite element methods for second-order hyperbolic equations. Zbl 0754.73085 Hulbert, Gregory M.; Hughes, Thomas J. R. 139 1990 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. 133 1992 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 132 2014 Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126 Temizer, Ị.; Wriggers, P.; Hughes, T. J. R. 132 2011 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. 131 2014 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 Two classes of mixed finite element methods. Zbl 0629.73053 Franca, Leopoldo P.; Hughes, Thomas J. R. 127 1988 Nonlinear finite element analysis of shells. I. Three-dimensional shells. Zbl 0461.73061 Hughes, Thomas J. R.; Liu, Wing Kam 125 1981 Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397 Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 122 2007 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 121 1987 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. 121 2012 Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076 Hughes, T. J. R.; Liu, W. K. 120 1978 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. 117 2012 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224 Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 116 2012 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. 111 2006 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. 110 1997 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. 109 1991 Product formulas and numerical algorithms. Zbl 0358.65082 Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 106 1978 The continuous Galerkin method is locally conservative. Zbl 0969.65104 Hughes, Thomas J. R.; Engel, Gerald; Mazzei, Luca; Larson, Mats G. 106 2000 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. 105 2010 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337 Evans, John A.; Hughes, Thomas J. R. 103 2013 Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191 Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M. 103 2010 A comparative study of different sets of variables for solving compressible and incompressible flows. Zbl 0957.76028 Hauke, Guillermo; Hughes, Thomas J. R. 99 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 97 1976 What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods. Zbl 0764.73083 Harari, Isaac; Hughes, Thomas J. R. 96 1992 On drilling degrees of freedom. Zbl 0691.73015 Hughes, Thomas J. R.; Brezzi, F. 94 1989 Blended isogeometric shells. Zbl 1297.74114 Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 94 2013 Finite element methods for the Helmholtz equation in an exterior domain: Model problems. Zbl 0760.76047 Harari, Isaac; Hughes, Thomas J. R. 94 1991 Variationally mimetic operator networks. Zbl 1539.65199 Patel, Dhruv; Ray, Deep; Abdelmalik, Michael R. A.; Hughes, Thomas J. R.; Oberai, Assad A. 2 2024 A simple and efficient hybrid discretization approach to alleviate membrane locking in isogeometric thin shells. Zbl 1539.74217 Sauer, Roger A.; Zou, Zhihui; Hughes, Thomas J. R. 2 2024 An analysis of high order FEM and IGA for explicit dynamics: mass lumping and immersed boundaries. Zbl 07898478 Radtke, Lars; Torre, Michele; Hughes, Thomas J. R.; Düster, Alexander; Sangalli, Giancarlo; Reali, Alessandro 1 2024 Finite element and isogeometric stabilized methods for the advection-diffusion-reaction equation. Zbl 1536.76069 Key, Konstantin; Abdelmalik, Michael R. A.; Elgeti, Stefanie; Hughes, Thomas J. R.; Baidoo, Frimpong A. 1 2023 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 23 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. 16 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 5 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. 4 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 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 54 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. 33 2021 Tuned hybrid nonuniform subdivision surfaces with optimal convergence rates. Zbl 1548.65055 Wei, Xiaodong; Li, Xin; Zhang, Yongjie J.; Hughes, Thomas J. R. 17 2021 Smooth multi-patch discretizations in isogeometric analysis. Zbl 1473.65302 Hughes, Thomas J. R.; Sangalli, Giancarlo; Takacs, Thomas; Toshniwal, Deepesh 16 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 15 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 13 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. 8 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. 8 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 42 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 42 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 19 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 18 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. 18 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 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. 13 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 11 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. 2 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. 28 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. 27 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. 14 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 58 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. 41 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. 30 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. 27 2018 Improved conditioning of isogeometric analysis matrices for trimmed geometries. Zbl 1440.74426 Marussig, Benjamin; Hiemstra, René; Hughes, Thomas J. R. 19 2018 Isogeometric analysis: mathematical and implementational aspects, with applications. Zbl 1410.65451 Hughes, Thomas J. R.; Sangalli, Giancarlo; Tani, Mattia 9 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. 3 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. 84 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. 57 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. 55 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. 52 2017 Truncated T-splines: fundamentals and methods. Zbl 1439.65018 Wei, Xiaodong; Zhang, Yongjie; Liu, Lei; Hughes, Thomas J. R. 45 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. 26 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. 25 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. 13 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. 143 2016 Extended truncated hierarchical Catmull-Clark subdivision. Zbl 1425.65037 Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.; Scott, Michael A. 27 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. 15 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. 4 2016 Isogeometric compatible discretizations for viscous incompressible flow. Zbl 1381.76166 Evans, John A.; Hughes, Thomas J. R. 1 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. 220 2015 Isogeometric collocation: Neumann boundary conditions and contact. Zbl 1423.74947 De Lorenzis, L.; Evans, J. A.; Hughes, T. J. R.; Reali, A. 77 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. 72 2015 Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028 Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A. 63 2015 Single-variable formulations and isogeometric discretizations for shear deformable beams. Zbl 1423.74492 Kiendl, J.; Auricchio, F.; Hughes, T. J. R.; Reali, A. 62 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. 53 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. 46 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. 46 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. 43 2015 An introduction to isogeometric collocation methods. Zbl 1327.74144 Reali, Alessandro; Hughes, Thomas J. R. 35 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. 19 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. 189 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 132 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. 131 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. 80 2014 Isogeometric contact: a review. Zbl 1308.74114 De Lorenzis, Laura; Wriggers, Peter; Hughes, Thomas J. R. 67 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. 38 2014 Isogeometric analysis of nearly incompressible large strain plasticity. Zbl 1295.74019 Elguedj, T.; Hughes, T. J. R. 22 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. 11 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. 196 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. 190 2013 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337 Evans, John A.; Hughes, Thomas J. R. 103 2013 Blended isogeometric shells. Zbl 1297.74114 Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 94 2013 Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations. Zbl 1349.76054 Evans, John A.; Hughes, Thomas J. R. 89 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. 69 2013 Isogeometric divergence-conforming B-splines for the Darcy-Stokes-Brinkman equations. Zbl 1355.76064 Evans, John A.; Hughes, Thomas J. R. 52 2013 Conformal solid T-spline construction from boundary T-spline representations. Zbl 1367.65024 Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R. 48 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. 37 2013 Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements. Zbl 1259.65169 Evans, John A.; Hughes, Thomas J. R. 35 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. 17 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. 488 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. 276 2012 Local refinement of analysis-suitable T-splines. Zbl 1243.65030 Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 192 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. 145 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. 121 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. 117 2012 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224 Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 116 2012 Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130 Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R. 91 2012 Solid T-spline construction from boundary representations for genus-zero geometry. Zbl 1348.65057 Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R. 89 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. 33 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. 28 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. 22 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. 18 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. 3 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. 232 2011 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077 Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 178 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. 171 2011 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439 Gomez, Hector; Hughes, Thomas J. R. 147 2011 ...and 220 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 16,150 Authors 232 Hughes, Thomas J. R. 199 Tezduyar, Tayfun E. 134 Bazilevs, Yuri 119 Rabczuk, Timon 117 Codina, Ramon 108 Takizawa, Kenji 81 Liu, Wing Kam 80 Oñate Ibáñez de Navarra, Eugenio 79 Calo, Victor Manuel 76 Wriggers, Peter 72 Wall, Wolfgang A. 69 Reali, Alessandro 67 Hsu, Ming-Chen 67 Liu, Gui-Rong 62 Belytschko, Ted Bohdan 62 Sangalli, Giancarlo 61 Zhang, Yongjie Jessica 60 de Borst, René 60 Masud, Arif 58 Schillinger, Dominik 54 Beirão da Veiga, Lourenço 54 Scovazzi, Guglielmo 53 de Lorenzis, Laura 52 Nguyen-Xuan, Hung 51 Jüttler, Bert 50 Givoli, Dan 50 John, Volker 49 Auricchio, Ferdinando 49 Evans, John A. 49 Harari, Isaac 49 Speleers, Hendrik 48 Bordas, Stéphane Pierre Alain 48 Buffa, Annalisa 48 Wick, Thomas 47 Idelsohn, Sergio Rodolfo 47 Quarteroni, Alfio M. 47 Steinmann, Paul 46 Kiendl, Josef 46 Simo, Juan Carlos 45 Bui, Tinh Quoc 45 Chung, Tsz Shun Eric 44 Burman, Erik 44 Franca, Leopoldo Luis Cabo Penna 44 Gómez, Héctor J. 43 Larson, Mats G. 43 Manni, Carla 41 Badia, Santiago 40 Abgrall, Rémi 39 Ibrahimbegović, Adnan 39 Rank, Ernst 38 Baiges, Joan 38 Farhat, Charbel H. 38 Hansbo, Peter 37 Fish, Jacob 37 Oberai, Assad A. 37 Sauer, Roger A. 37 Van Brummelen, Harald 37 Wang, Dongdong 36 Dong, Chunying 36 Ortiz, Michael 36 Scott, Michael A. 35 Gil, Antonio J. 34 Simeon, Bernd 34 Yavari, Arash 34 Zhuang, Xiaoying 33 Betsch, Peter 33 Chen, Jiun-Shyan 33 Düster, Alexander 33 He, Yinnian 33 Reddy, B. Dayanand 33 Taylor, Robert Leroy 32 Benson, David J. 32 Dede’, Luca 32 Feng, Minfu 32 Kollmannsberger, Stefan 32 Miehe, Christian 32 Perić, Djordje 32 Verhoosel, Clemens V. 32 Wohlmuth, Barbara I. 31 Bonet, Javier 31 Hesch, Christian 31 Huerta, Antonio 31 Klinkel, Sven 31 Loula, Abimael Fernando Dourado 31 Marsden, Jerrold Eldon 31 Natarajan, Sundararajan 31 Tamma, Kumar K. 31 Waisman, Haim 30 Efendiev, Yalchin R. 30 Gravemeier, Volker 30 Hauke, Guillermo 30 Langer, Ulrich 30 Li, Shaofan 30 Soares, Delfim jun. 30 Yang, Xiaofeng 30 Yu, Tiantang 29 Areias, Pedro M. A. 29 Li, Xin 29 Lovadina, Carlo 29 Marsden, Alison L. ...and 16,050 more Authors all top 5 Cited in 471 Serials 4,209 Computer Methods in Applied Mechanics and Engineering 1,224 International Journal for Numerical Methods in Engineering 904 Journal of Computational Physics 794 Computational Mechanics 364 Computers & Mathematics with Applications 312 Computers and Fluids 304 Journal of Computational and Applied Mathematics 280 Engineering Analysis with Boundary Elements 237 International Journal for Numerical Methods in Fluids 219 Journal of Scientific Computing 174 Applied Mathematical Modelling 172 European Journal of Mechanics. A. Solids 155 Applied Mathematics and Computation 151 Applied Numerical Mathematics 147 Communications in Numerical Methods in Engineering 146 Acta Mechanica 137 SIAM Journal on Scientific Computing 113 Computer Aided Geometric Design 113 M\(^3\)AS. 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