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Hughes, Thomas J. R.

Author ID: hughes.thomas-j-r Recent zbMATH articles by "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
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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
6 Masud, Arif
6 Sauer, Roger A.
6 Scovazzi, Guglielmo
6 Speleers, Hendrik
6 Stewart, James R.
5 Belytschko, Ted Bohdan
5 Benson, David J.
5 Ferencz, Robert M.
5 Jansen, Kenneth E.
5 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
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.
3 Zou, Zhihui
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
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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)

Publications by Year

Citations contained in zbMATH Open

314 Publications have been cited 34,190 times in 13,258 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.
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.
1982
Isogeometric analysis. Toward integration of CAD and FEA. Zbl 1378.65009
Cottrell, J. Austin; Hughes, Thomas J. R.; Bazilevs, Yuri
2009
The finite element method. Linear static and dynamic finite element analysis. Zbl 0634.73056
Hughes, Thomas J. R.
1987
Computational inelasticity. Zbl 0934.74003
Simo, J. C.; Hughes, T. J. R.
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.
870
1995
Mathematical foundations of elasticity. Zbl 0545.73031
Marsden, Jerrold E.; Hughes, Thomas J. R.
776
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.
716
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
712
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
642
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.
583
1989
Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039
Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K.
511
1981
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.
485
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.
485
2007
Isogeometric analysis of structural vibrations. Zbl 1119.74024
Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R.
476
2006
Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015
Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y.
435
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.
431
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.
389
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.
318
2006
Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524
Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R.
314
2008
A multi-dimensional upwind scheme with no crosswind diffusion. Zbl 0423.76067
Hughes, T. J. R.; Brooks, A.
310
1979
Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407
Cottrell, J. A.; Hughes, T. J. R.; Reali, A.
307
2007
Large eddy simulation and the variational multiscale method. Zbl 0998.76040
Hughes, Thomas J. R.; Mazzei, Luca; Jansen, Kenneth E.
282
2000
Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075
Malkus, David S.; Hughes, Thomas J. R.
281
1978
Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107
Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R.
270
2010
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
Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029
Hughes, T. J. R.; Reali, A.; Sangalli, G.
262
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.
246
2012
Weak imposition of Dirichlet boundary conditions in fluid mechanics. Zbl 1115.76040
Bazilevs, Y.; Hughes, T. J. R.
237
2007
Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053
Hughes, Thomas J. R.
235
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.
227
2002
A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074
Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira
227
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.
222
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
219
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
216
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.
210
1987
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.
207
1984
Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063
Hughes, Thomas J. R.; Hulbert, Gregory M.
206
1988
Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS. Zbl 1194.74114
Hughes, T. J. R.; Reali, A.; Sangalli, G.
204
2008
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.
200
2015
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
199
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.
197
2011
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.
181
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.
180
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.
179
2009
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
177
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.
176
2001
Local refinement of analysis-suitable T-splines. Zbl 1243.65030
Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R.
175
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.
173
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.
171
2014
A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077
Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
167
2011
\(\overline {\text B}\) 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.
167
2008
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.
166
1977
\(n\)-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.
160
2009
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.
160
2010
Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001
159
2004
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.
157
2011
NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043
Bazilevs, Y.; Hughes, T. J. R.
149
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.
147
2007
Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081
Hughes, Thomas J. R.; Winget, James
145
1980
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
144
1986
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.
144
2010
Finite element modeling of blood in arteries. Zbl 0953.76058
Taylor, Charles A.; Hughes, Thomas J. R.; Zarins, Christopher K.
141
1998
A simple and efficient finite element for plate bending. Zbl 0363.73067
Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak
141
1977
A stabilized mixed finite element method for Darcy flow. Zbl 1015.76047
Masud, Arif; Hughes, Thomas J. R.
138
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.
137
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.
135
2010
Finite element analysis of incompressible viscous flows by the penalty function formulation. Zbl 0412.76023
Hughes, Thomas J. R.; Liu, Wing Kam; Brooks, Alec
133
1979
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439
Gomez, Hector; Hughes, Thomas J. R.
132
2011
Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
131
2012
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.
130
2008
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.
129
2014
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
Space-time finite element methods for second-order hyperbolic equations. Zbl 0754.73085
Hulbert, Gregory M.; Hughes, Thomas J. R.
128
1990
Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397
Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R.
125
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.
124
2016
Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126
Temizer, Ị.; Wriggers, P.; Hughes, T. J. R.
121
2011
Nonlinear finite element analysis of shells. I. Three-dimensional shells. Zbl 0461.73061
Hughes, Thomas J. R.; Liu, Wing Kam
119
1981
Two classes of mixed finite element methods. Zbl 0629.73053
Franca, Leopoldo P.; Hughes, Thomas J. R.
116
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.
115
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
114
1987
Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076
Hughes, T. J. R.; Liu, W. K.
112
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.
109
2012
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
109
2014
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.
107
1997
Product formulas and numerical algorithms. Zbl 0358.65082
Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E.
104
1978
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.
101
2000
Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224
Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R.
100
2012
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.
98
1991
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.
98
2010
Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191
Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M.
96
2010
Finite element methods for the Helmholtz equation in an exterior domain: Model problems. Zbl 0760.76047
Harari, Isaac; Hughes, Thomas J. R.
93
1991
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
A comparative study of different sets of variables for solving compressible and incompressible flows. Zbl 0957.76028
Hauke, Guillermo; Hughes, Thomas J. R.
91
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
91
1976
Blended isogeometric shells. Zbl 1297.74114
Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
86
2013
On drilling degrees of freedom. Zbl 0691.73015
Hughes, Thomas J. R.; Brezzi, F.
86
1989
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
The density of the \((\alpha ,d,\beta)\)-superprocess and singular solutions to a fractional non-linear PDE. Zbl 1494.35159
Hughes, Thomas
1
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
45
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
33
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
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
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
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
15
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
14
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.
26
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.
32
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
8
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.
2
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.
71
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.
51
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.
49
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.
48
2017
Truncated T-splines: fundamentals and methods. Zbl 1439.65018
Wei, Xiaodong; Zhang, Yongjie; Liu, Lei; Hughes, Thomas J. R.
37
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.
25
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.
18
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.
124
2016
Extended truncated hierarchical Catmull-Clark subdivision. Zbl 1425.65037
Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.; Scott, Michael A.
26
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.
200
2015
Isogeometric collocation: Neumann boundary conditions and contact. Zbl 1423.74947
De Lorenzis, L.; Evans, J. A.; Hughes, T. J. R.; Reali, A.
71
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.
62
2015
Single-variable formulations and isogeometric discretizations for shear deformable beams. Zbl 1423.74492
Kiendl, J.; Auricchio, F.; Hughes, T. J. R.; Reali, A.
60
2015
Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028
Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A.
56
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.
49
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.
42
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
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.
35
2015
An introduction to isogeometric collocation methods. Zbl 1327.74144
Reali, Alessandro; Hughes, Thomas J. R.
32
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.
171
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.
129
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
109
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.
73
2014
Isogeometric contact: a review. Zbl 1308.74114
De Lorenzis, Laura; Wriggers, Peter; Hughes, Thomas J. R.
60
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.
35
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.
181
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.
173
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.
86
2013
Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations. Zbl 1349.76054
Evans, John A.; Hughes, Thomas J. R.
83
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.
65
2013
Conformal solid T-spline construction from boundary T-spline representations. Zbl 1367.65024
Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R.
47
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.
32
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.
431
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.
246
2012
Local refinement of analysis-suitable T-splines. Zbl 1243.65030
Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R.
175
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.
131
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.
115
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.
109
2012
Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224
Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R.
100
2012
Solid T-spline construction from boundary representations for genus-zero geometry. Zbl 1348.65057
Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R.
85
2012
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130
Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R.
84
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.
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.
197
2011
A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077
Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
167
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.
157
2011
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439
Gomez, Hector; Hughes, Thomas J. R.
132
2011
Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126
Temizer, Ị.; Wriggers, P.; Hughes, T. J. R.
121
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
77
2011
An isogeometric approach to cohesive zone modeling. Zbl 1242.74169
Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R.
60
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.
32
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
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Cited by 14,920 Authors

229 Hughes, Thomas J. R.
194 Tezduyar, Tayfun E.
129 Bazilevs, Yuri
112 Codina, Ramon
112 Rabczuk, Timon
103 Takizawa, Kenji
81 Liu, Wing Kam
76 Calo, Victor Manuel
75 Oñate Ibáñez de Navarra, Eugenio
72 Wriggers, Peter
65 Reali, Alessandro
64 Hsu, Ming-Chen
63 Liu, Gui-Rong
63 Wall, Wolfgang A.
62 Belytschko, Ted Bohdan
61 Sangalli, Giancarlo
57 Zhang, Yongjie Jessica
55 Masud, Arif
52 Beirão da Veiga, Lourenço
51 Schillinger, Dominik
50 de Lorenzis, Laura
50 Jüttler, Bert
50 Nguyen-Xuan, Hung
49 Auricchio, Ferdinando
49 John, Volker
48 Evans, John A.
47 Givoli, Dan
47 Harari, Isaac
46 Bordas, Stéphane Pierre Alain
46 Buffa, Annalisa
46 Simo, Juan Carlos
45 Franca, Leopoldo Luis Cabo Penna
45 Quarteroni, Alfio M.
44 Kiendl, Josef
44 Scovazzi, Guglielmo
44 Steinmann, Paul
43 de Borst, René
42 Burman, Erik
42 Gómez, Héctor J.
42 Larson, Mats G.
42 Speleers, Hendrik
41 Idelsohn, Sergio Rodolfo
40 Bui, Tinh Quoc
40 Chung, Tsz Shun Eric
40 Wick, Thomas
38 Badia, Santiago
38 Farhat, Charbel H.
38 Rank, Ernst
37 Hansbo, Peter
37 Ibrahimbegović, Adnan
37 Manni, Carla
36 Oberai, Assad A.
36 Van Brummelen, Harald
35 Abgrall, Rémi
35 Ortiz, Michael
35 Scott, Michael A.
34 Yavari, Arash
33 Baiges, Joan
33 He, Yinnian
33 Simeon, Bernd
33 Taylor, Robert Leroy
32 Benson, David J.
31 Dede’, Luca
31 Hauke, Guillermo
31 Marsden, Jerrold Eldon
31 Perić, Djordje
31 Sauer, Roger A.
31 Tamma, Kumar K.
31 Zhuang, Xiaoying
30 Chen, Jiun-Shyan
30 Feng, Minfu
30 Fish, Jacob
30 Kollmannsberger, Stefan
30 Loula, Abimael Fernando Dourado
30 Miehe, Christian
30 Soares, Delfim jun.
30 Wohlmuth, Barbara I.
29 Düster, Alexander
29 Efendiev, Yalchin R.
29 Gil, Antonio J.
29 Verhoosel, Clemens V.
29 Waisman, Haim
28 Areias, Pedro M. A.
28 Betsch, Peter
28 Gravemeier, Volker
28 Hesch, Christian
28 Lovadina, Carlo
28 Reddy, B. Dayanand
28 Wheeler, Mary Fanett
28 Yan, Jinhui
27 Bletzinger, Kai-Uwe
27 Huerta, Antonio
27 Klinkel, Sven
27 Li, Xin
27 Yang, Xiaofeng
26 Behr, Marek A.
26 Hachem, Elie
26 Marsden, Alison L.
26 Nakshatrala, Kalyana B.
26 Nguyen-Thoi, Trung
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163 European Journal of Mechanics. A. Solids
152 Applied Mathematics and Computation
147 Communications in Numerical Methods in Engineering
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10 Reports on Mathematical Physics
10 Journal of Geometry and Physics
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Numerical Functional Analysis and Optimization
10 SIAM Journal on Applied Mathematics
10 ETNA. Electronic Transactions on Numerical Analysis
10 Journal of Systems Science and Complexity
...and 356 more Serials
all top 5

Cited in 53 Fields

6,649 Mechanics of deformable solids (74-XX)
6,516 Numerical analysis (65-XX)
4,503 Fluid mechanics (76-XX)
2,000 Partial differential equations (35-XX)
581 Biology and other natural sciences (92-XX)
314 Classical thermodynamics, heat transfer (80-XX)
274 Calculus of variations and optimal control; optimization (49-XX)
203 Approximations and expansions (41-XX)
202 Mechanics of particles and systems (70-XX)
194 Statistical mechanics, structure of matter (82-XX)
178 Geophysics (86-XX)
173 Computer science (68-XX)
173 Optics, electromagnetic theory (78-XX)
111 Ordinary differential equations (34-XX)
104 Differential geometry (53-XX)
83 Operations research, mathematical programming (90-XX)
65 Dynamical systems and ergodic theory (37-XX)
62 Systems theory; control (93-XX)
59 Linear and multilinear algebra; matrix theory (15-XX)
58 Global analysis, analysis on manifolds (58-XX)
53 Operator theory (47-XX)
53 Probability theory and stochastic processes (60-XX)
53 Relativity and gravitational theory (83-XX)
46 Statistics (62-XX)
38 Quantum theory (81-XX)
35 Potential theory (31-XX)
29 Integral equations (45-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Information and communication theory, circuits (94-XX)
19 Functional analysis (46-XX)
18 Real functions (26-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
11 General and overarching topics; collections (00-XX)
10 Combinatorics (05-XX)
9 History and biography (01-XX)
9 Commutative algebra (13-XX)
7 Topological groups, Lie groups (22-XX)
7 Measure and integration (28-XX)
6 Algebraic geometry (14-XX)
6 Functions of a complex variable (30-XX)
5 Difference and functional equations (39-XX)
4 Integral transforms, operational calculus (44-XX)
4 Astronomy and astrophysics (85-XX)
3 Special functions (33-XX)
3 Manifolds and cell complexes (57-XX)
2 Mathematical logic and foundations (03-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)

Citations by Year

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