Edit Profile Hughes, Thomas J. R. Compute Distance To: Compute Author ID: hughes.thomas-j-r Published as: Hughes, T. J. R.; Hughes, Thomas; Hughes, Thomas J. R. Homepage: http://users.ices.utexas.edu/~hughes/ External Links: MGP · Wikidata · dblp · GND Documents Indexed: 329 Publications since 1973, including 22 Books Biographic References: 2 Publications 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 19 Tezduyar, Tayfun E. 18 Reali, Alessandro 18 Scott, Michael A. 13 Johan, Zdeněk 12 Zhang, Yongjie 11 Hsu, Ming-Chen 11 Sangalli, Giancarlo 10 Toshniwal, Deepesh 9 Hiemstra, René R. 9 Liu, Wing Kam 9 Schillinger, Dominik 9 Taylor, Robert Leroy 8 Brooks, Alexander N. 8 Cottrell, J. Austin 8 Harari, Isaac 8 Landis, Chad M. 8 Oberai, Assad A. 7 Auricchio, Ferdinando 7 Borden, Michael J. 7 Brezzi, Franco 7 Mallet, Michel 7 Mazzei, Luca 7 Oden, John Tinsley 6 Marsden, Jerrold Eldon 6 Masud, Arif 6 Scovazzi, Guglielmo 6 Speleers, Hendrik 6 Stewart, James R. 6 Wei, Xiaodong 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 Garikipati, Krishna 4 Gómez, Héctor W. 4 Hauke, Guillermo 4 Hulbert, Gregory M. 4 Johnsson, S. Lennart 4 Kamensky, David 4 Lorenzo, Guillermo 4 Manni, Carla 4 Mathur, Kapil K. 4 Miranda, Isidoro 4 Taylor, Charles A. 4 Wang, Wenyan 4 Wriggers, Peter 4 Zhang, Yongjie Jessica 3 Bajaj, Chandrajit L. 3 Barbosa, Hélio José C. 3 Buffa, Annalisa 3 Calabró, Francesco 3 de Borst, René 3 de Lorenzis, Laura 3 Dede, Luca 3 Elguedj, Thomas 3 Engel, Gerald 3 Gómez, Héctor J. 3 Kanok-Nukulchai, Worsak 3 Kiendl, Josef 3 Larson, Mats G. 3 Levit, Itzhak 3 Li, Xin 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. 2 Anvari, Amin 2 Babuška, Ivo 2 Baroli, Davide 2 Bochev, Pavel B. 2 Borden, Micheal J. 2 Figueroa, C. Alberto 2 Hartmann, Stefan 2 Jansen, Katrin 2 Kunoth, Angela 2 Lee, Isaac J. 2 Malkus, David S. 2 Mandadapu, Kranthi K. 2 Michler, Christian 2 Mizukami, Akira 2 Papadrakakis, Manolis 2 Patton, Alessia 2 Pister, Karl S. ...and 131 more Co-Authors all top 5 Serials 152 Computer Methods in Applied Mechanics and Engineering 19 International Journal for Numerical Methods in Engineering 14 Computational Mechanics 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Journal of Applied Mechanics 7 Journal of Computational Physics 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 all top 5 Fields 156 Numerical analysis (65-XX) 149 Mechanics of deformable solids (74-XX) 140 Fluid mechanics (76-XX) 24 Partial differential equations (35-XX) 21 Biology and other natural sciences (92-XX) 20 General and overarching topics; collections (00-XX) 10 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) 2 Differential geometry (53-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 Difference and functional equations (39-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 296 Publications have been cited 26,306 times in 10,287 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. 1,420 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. 1,391 1982 The finite element method. Linear static and dynamic finite element analysis. Zbl 0634.73056Hughes, Thomas J. R. 1,034 1987 Isogeometric analysis. Toward integration of CAD and FEA. Zbl 1378.65009Cottrell, J. Austin; Hughes, Thomas J. R.; Bazilevs, Yuri 930 2009 Computational inelasticity. Zbl 0934.74003Simo, J. C.; Hughes, T. J. R. 759 1998 Mathematical foundations of elasticity. Zbl 0545.73031Marsden, Jerrold E.; Hughes, Thomas J. R. 730 1983 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. 720 1995 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 560 1986 The finite element method. Linear static and dynamic finite element analysis. Reprint of the 1987 original ed. Zbl 1191.74002Hughes, Thomas J. R. 532 2000 The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste 532 1998 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. 476 1989 Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K. 426 1981 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. 375 2010 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Zbl 1169.76352Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Hughes, T. J. R.; Reali, A.; Scovazzi, G. 364 2007 Isogeometric analysis of structural vibrations. Zbl 1119.74024Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R. 363 2006 Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y. 340 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. 300 2006 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Zbl 1161.74020Bazilevs, Y.; Calo, V. M.; Zhang, Y.; Hughes, T. J. R. 261 2006 Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407Cottrell, J. A.; Hughes, T. J. R.; Reali, A. 254 2007 Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R. 238 1992 Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075Malkus, David S.; Hughes, Thomas J. R. 237 1978 Large eddy simulation and the variational multiscale method. Zbl 0998.76040Hughes, Thomas J. R.; Mazzei, Luca; Jansen, Kenneth E. 235 2000 Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R. 227 2008 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. 224 2012 A multi-dimensional upwind scheme with no crosswind diffusion. Zbl 0423.76067Hughes, T. J. R.; Brooks, A. 214 1979 Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029Hughes, T. J. R.; Reali, A.; Sangalli, G. 207 2010 Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R. 203 2010 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 201 1986 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053Hughes, Thomas J. R. 201 1980 Large eddy simulation of turbulent channel flows by the variational multiscale method. Zbl 1184.76237Hughes, Thomas J. R.; Oberai, Assad A.; Mazzei, Luca 187 2001 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. 182 2012 Weak imposition of Dirichlet boundary conditions in fluid mechanics. Zbl 1115.76040Bazilevs, Y.; Hughes, T. J. R. 182 2007 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. 182 1984 A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira 176 1986 Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Zbl 1086.74038Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L. 174 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. 174 1987 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. 173 1986 Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063Hughes, Thomas J. R.; Hulbert, Gregory M. 166 1988 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. 164 1981 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. 155 2001 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. 149 2011 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. 148 2008 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 145 2010 \(b=\int g\). Zbl 0904.76041Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A. 145 1997 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. 143 2013 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. 143 2009 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. 143 1977 Local refinement of analysis-suitable T-splines. Zbl 1243.65030Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 138 2012 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. 133 2010 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 131 1986 On the variational foundations of assumed strain methods. Zbl 0592.73019Simo, J. C.; Hughes, T. J. R. 129 1986 Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081Hughes, Thomas J. R.; Winget, James 128 1980 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. 126 2013 Two classes of mixed finite element methods. Zbl 0629.73053Franca, Leopoldo P.; Hughes, Thomas J. R. 126 1988 A simple and efficient finite element for plate bending. Zbl 0363.73067Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak 124 1977 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. 123 2010 \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method. Zbl 1227.65093Evans, John A.; Bazilevs, Yuri; Babuška, Ivo; Hughes, Thomas J. R. 123 2009 Finite element modeling of blood in arteries. Zbl 0953.76058Taylor, Charles A.; Hughes, Thomas J. R.; Zarins, Christopher K. 123 1998 \(\overline {\text B}\) 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. 122 2008 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 121 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. 119 2011 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. 117 2015 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. 116 2008 Robustness of isogeometric structural discretizations under severe mesh distortion. Zbl 1227.74112Lipton, S.; Evans, J. A.; Bazilevs, Y.; Elguedj, T.; Hughes, T. J. R. 115 2010 NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043Bazilevs, Y.; Hughes, T. J. R. 115 2008 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. 115 1992 Finite element analysis of incompressible viscous flows by the penalty function formulation. Zbl 0412.76023Hughes, Thomas J. R.; Liu, Wing Kam; Brooks, Alec 115 1979 Variational multiscale analysis: The fine-scale Green’s function, projection, optimization, localization, and stabilized methods. Zbl 1152.65111Hughes, T. J. R.; Sangalli, G. 112 2007 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. 110 2007 Nonlinear finite element analysis of shells. I. Three-dimensional shells. Zbl 0461.73061Hughes, Thomas J. R.; Liu, Wing Kam 108 1981 A stabilized mixed finite element method for Darcy flow. Zbl 1015.76047Masud, Arif; Hughes, Thomas J. R. 104 2002 Space-time finite element methods for second-order hyperbolic equations. Zbl 0754.73085Hulbert, Gregory M.; Hughes, Thomas J. R. 100 1990 Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076Hughes, T. J. R.; Liu, W. K. 99 1978 Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R. 96 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 0635.76066Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel 94 1987 A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems. Zbl 0899.76259Masud, Arif; Hughes, Thomas J. R. 93 1997 A matrix-free implicit iterative solver for compressible flow problems. Zbl 0838.76040Johan, Z.; Hughes, T. J. R.; Shakib, F. 93 1991 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. 91 2014 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 90 2012 Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126Temizer, Ị.; Wriggers, P.; Hughes, T. J. R. 89 2011 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. 88 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. 88 2006 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 87 1978 On linear independence of T-spline blending functions. Zbl 1251.65012Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A. 86 2012 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. 84 2014 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439Gomez, Hector; Hughes, Thomas J. R. 84 2011 On drilling degrees of freedom. Zbl 0691.73015Hughes, Thomas J. R.; Brezzi, F. 83 1989 Finite element methods for the Helmholtz equation in an exterior domain: Model problems. Zbl 0760.76047Harari, Isaac; Hughes, Thomas J. R. 82 1991 Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M. 81 2010 The continuous Galerkin method is locally conservative. Zbl 0969.65104Hughes, Thomas J. R.; Engel, Gerald; Mazzei, Luca; Larson, Mats G. 81 2000 What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods. Zbl 0764.73083Harari, Isaac; Hughes, Thomas J. R. 81 1992 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. 80 1991 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. 78 2010 A finite element method for a class of contact-impact problems. Zbl 0367.73075Hughes, Thomas J. R.; Taylor, Robert L.; Sackman, Jerome L.; Curnier, Alain; Kanoknukulchai, Worsak 77 1976 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 Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems. Zbl 1296.65148Hughes, Thomas J. R.; Evans, John A.; Reali, Alessandro 73 2014 A comparative study of different sets of variables for solving compressible and incompressible flows. Zbl 0957.76028Hauke, Guillermo; Hughes, Thomas J. R. 71 1998 Implicit-explicit finite elements in transient analysis: Implementation and numerical examples. Zbl 0392.73077Hughes, T. J. R.; Liu, W. K. 71 1978 Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R. 69 2012 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337Evans, John A.; Hughes, Thomas J. R. 67 2013 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 4 2021 Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R. 5 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 3 2020 An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS. Zbl 07185494Paul, Karsten; Zimmermann, Christopher; Mandadapu, Kranthi K.; Hughes, Thomas J. R.; Landis, Chad M.; Sauer, Roger A. 3 2020 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 2 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. 7 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. 6 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. 3 2019 Polynomial splines of non-uniform degree on triangulations: combinatorial bounds on the dimension. Zbl 07137431Toshniwal, Deepesh; Hughes, Thomas J. R. 3 2019 A boundary local time for one-dimensional super-Brownian motion and applications. Zbl 07068785Hughes, Thomas 1 2019 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. 16 2018 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 9 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. 4 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. 4 2018 Isogeometric analysis: mathematical and implementational aspects, with applications. Zbl 1410.65451Hughes, Thomas J. R.; Sangalli, Giancarlo; Tani, Mattia 4 2018 Improved conditioning of isogeometric analysis matrices for trimmed geometries. Zbl 1440.74426Marussig, Benjamin; Hiemstra, René; Hughes, Thomas J. R. 3 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. 10 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. 9 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. 8 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. 7 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. 5 2017 Truncated T-splines: fundamentals and methods. Zbl 1439.65018Wei, Xiaodong; Zhang, Yongjie; Liu, Lei; Hughes, Thomas J. R. 4 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. 4 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. 1 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. 17 2016 Extended truncated hierarchical Catmull-Clark subdivision. Zbl 1425.65037Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.; Scott, Michael A. 14 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. 7 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. 117 2015 Isogeometric collocation: Neumann boundary conditions and contact. Zbl 1423.74947De Lorenzis, L.; Evans, J. A.; Hughes, T. J. R.; Reali, A. 42 2015 Single-variable formulations and isogeometric discretizations for shear deformable beams. Zbl 1423.74492Kiendl, J.; Auricchio, F.; Hughes, T. J. R.; Reali, A. 38 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. 32 2015 Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A. 28 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. 26 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. 20 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. 20 2015 An introduction to isogeometric collocation methods. Zbl 1327.74144Reali, Alessandro; Hughes, Thomas J. R. 20 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. 14 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. 8 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. 91 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. 84 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 73 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. 51 2014 Isogeometric contact: a review. Zbl 1308.74114De Lorenzis, Laura; Wriggers, Peter; Hughes, Thomas J. R. 32 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. 23 2014 Isogeometric analysis of nearly incompressible large strain plasticity. Zbl 1295.74019Elguedj, T.; Hughes, T. J. R. 12 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. 7 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. 143 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. 126 2013 Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337Evans, John A.; Hughes, Thomas J. R. 67 2013 Blended isogeometric shells. Zbl 1297.74114Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 64 2013 Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations. Zbl 1349.76054Evans, John A.; Hughes, Thomas J. R. 55 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. 45 2013 Conformal solid T-spline construction from boundary T-spline representations. Zbl 1367.65024Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R. 40 2013 Isogeometric divergence-conforming B-splines for the Darcy-Stokes-Brinkman equations. Zbl 1355.76064Evans, John A.; Hughes, Thomas J. R. 30 2013 Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements. Zbl 1259.65169Evans, John A.; Hughes, Thomas J. R. 27 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. 23 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. 11 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. 224 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. 182 2012 Local refinement of analysis-suitable T-splines. Zbl 1243.65030Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 138 2012 Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 90 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. 88 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. 86 2012 Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R. 69 2012 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 59 2012 Solid T-spline construction from boundary representations for genus-zero geometry. Zbl 1348.65057Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R. 59 2012 Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline. Zbl 1312.65197Wang, Wenyan; Zhang, Yongjie; Xu, Guoliang; Hughes, Thomas J. R. 26 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. 19 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. 17 2012 Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem. Zbl 1311.76024Evans, John A.; Hughes, Thomas J. R. 12 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. 10 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. 149 2011 A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R. 121 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. 119 2011 Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126Temizer, Ị.; Wriggers, P.; Hughes, T. J. R. 89 2011 Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439Gomez, Hector; Hughes, Thomas J. R. 84 2011 An isogeometric analysis approach to gradient damage models. Zbl 1235.74320Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René 66 2011 An isogeometric approach to cohesive zone modeling. Zbl 1242.74169Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R. 49 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. 28 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. 375 2010 Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029Hughes, T. J. R.; Reali, A.; Sangalli, G. 207 2010 Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R. 203 2010 Isogeometric collocation methods. Zbl 1226.65091Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. 145 2010 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. 133 2010 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. 123 2010 Robustness of isogeometric structural discretizations under severe mesh distortion. Zbl 1227.74112Lipton, S.; Evans, J. A.; Bazilevs, Y.; Elguedj, T.; Hughes, T. J. R. 115 2010 Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M. 81 2010 A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T. 78 2010 Stabilized methods for compressible flows. Zbl 1203.76130Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E. 54 2010 An automatic 3D mesh generation method for domains with multiple materials. Zbl 1227.74129Zhang, Yongjie; Hughes, Thomas J. R.; Bajaj, Chandrajit L. 26 2010 Special issue: Turbulence modeling for large eddy simulations. Selected papers based on the presentations at the minisymposium, San Francisco, CA, USA, July 22–26, 2007. Zbl 1198.76009Calo, Victor M. (ed.); Bazilevs, Yuri (ed.); Hughes, Thomas J. R. (ed.) 1 2010 Isogeometric analysis. Toward integration of CAD and FEA. Zbl 1378.65009Cottrell, J. Austin; Hughes, Thomas J. R.; Bazilevs, Yuri 930 2009 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. 143 2009 \(n\)-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. 123 2009 Augmented Lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow. Zbl 1229.76118Kim, H. J.; Figueroa, C. A.; Hughes, T. J. R.; Jansen, K. E.; Taylor, C. A. 17 2009 ...and 196 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,678 Authors 208 Hughes, Thomas J. 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G. A. 28 Hauke, Guillermo 28 He, Yinnian 28 Manni, Carla 28 Reddy, B. Dayanand 28 Wick, Thomas 27 Fish, Jacob 27 Gravemeier, Volker 27 Huerta, Antonio 27 Scott, Michael A. 27 Wohlmuth, Barbara I. 27 Zhang, Yongjie 26 Tamma, Kumar K. 26 Van Brummelen, Harald 25 Lovadina, Carlo 25 Nguyen-Thoi, Trung 25 Simeon, Bernd 24 Borja, Ronaldo I. 24 Chen, Jiun-Shyan 24 Düster, Alexander 24 Pinsky, Peter M. 24 Shadid, John N. 24 Waisman, Haim 24 Yavari, Arash 24 Zhuang, Xiaoying 23 Baiges, Joan 23 Efendiev, Yalchin R. 23 Gravouil, Anthony 23 Lube, Gert 23 Verhoosel, Clemens V. 22 Bletzinger, Kai-Uwe 22 Bui, Tinh Quoc 22 Dede, Luca 22 Gómez, Héctor J. 22 Nakshatrala, K. B. 22 Wheeler, Mary Fanett 21 Armero, Francisco 21 Betsch, Peter 21 Bonet, Javier 21 Chung, Tsz Shun Eric 21 Combescure, Alain 21 Dutra do Carmo, Eduardo Gomes 21 Jansen, Kenneth E. 21 Langer, Ulrich 21 Marsden, Alison L. 21 Mittal, Sanjay ...and 12,578 more Authors all top 5 Cited in 372 Serials 3,217 Computer Methods in Applied Mechanics and Engineering 687 International Journal for Numerical Methods in Engineering 641 Journal of Computational Physics 587 Computational Mechanics 269 Computers and Fluids 239 Journal of Computational and Applied Mathematics 234 Computers & Mathematics with Applications 186 International Journal for Numerical Methods in Fluids 160 Engineering Analysis with Boundary Elements 147 Journal of Scientific Computing 147 Communications in Numerical Methods in Engineering 124 Applied Mathematics and Computation 124 Applied Numerical Mathematics 112 European Journal of Mechanics. A. 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