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Hughes, Thomas J. R.

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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/
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Co-Authors

16 single-authored
35 Bazilevs, Yuri
26 Evans, John A.
21 Calo, Victor Manuel
21 Franca, Leopoldo Luis Cabo Penna
21 Scott, Michael A.
19 Tezduyar, Tayfun E.
18 Zhang, Yongjie Jessica
15 Reali, Alessandro
13 Johan, Zdeněk
12 Hiemstra, René R.
12 Sangalli, Giancarlo
12 Schillinger, Dominik
12 Toshniwal, Deepesh
11 Hsu, Ming-Chen
10 Landis, Chad M.
9 Gómez, Héctor J.
9 Liu, Wing Kam
9 Taylor, Robert Leroy
8 Borden, Michael J.
8 Brooks, Alexander N.
8 Cottrell, J. Austin
8 Harari, Isaac
8 Oberai, Assad A.
7 Auricchio, Ferdinando
7 Brezzi, Franco
7 Mallet, Michel
7 Marsden, Jerrold Eldon
7 Mazzei, Luca
7 Oden, John Tinsley
7 Wei, Xiaodong
6 Masud, Arif
6 Sauer, Roger A.
6 Scovazzi, Guglielmo
6 Speleers, Hendrik
6 Stewart, James R.
5 Belytschko, Ted Bohdan
5 Benson, David J.
5 Ferencz, Robert M.
5 Jansen, Kenneth E.
5 Liu, Ju
5 Loula, Abimael Fernando Dourado
5 Sederberg, Thomas W.
5 Shakib, Farzin
5 Verhoosel, Clemens V.
5 Winget, James M.
4 Argyris, John Hadji
4 Beirão da Veiga, Lourenço
4 Carnoy, Eric G.
4 de Lorenzis, Laura
4 Garikipati, Krishna
4 Hauke, Guillermo
4 Hulbert, Gregory M.
4 Johnsson, S. Lennart
4 Kamensky, David
4 Li, Xin
4 Lorenzo, Guillermo
4 Manni, Carla
4 Mathur, Kapil K.
4 Miranda, Isidoro
4 Taylor, Charles A.
4 Wang, Wenyan
4 Wriggers, Peter
3 Anvari, Amin
3 Bajaj, Chandrajit L.
3 Barbosa, Hélio José C.
3 Buffa, Annalisa
3 Calabró, Francesco
3 Casquero, Hugo
3 de Borst, René
3 Dede’, Luca
3 Elguedj, Thomas
3 Engel, Gerald
3 Kanok-Nukulchai, Worsak
3 Kiendl, Josef
3 Larson, Mats G.
3 Lee, Isaac J.
3 Levit, Itzhak
3 Lipton, S.
3 Marini, Luisa Donatella
3 Rifai, Steven M.
3 Russo, Alessandro
3 Sacks, Michael S.
3 Simo, Juan Carlos
3 Tessler, Alexander
3 Wells, Garth N.
3 Zou, Zhihui
2 Babuška, Ivo
2 Baroli, Davide
2 Bochev, Pavel B.
2 Borden, Micheal J.
2 Figueroa, C. Alberto
2 Hartmann, Stefan
2 Kunoth, Angela
2 Malkus, David S.
2 Mandadapu, Kranthi K.
2 Michler, Christian
2 Mika, Michal L.
2 Mizukami, Akira
2 Morganti, Simone
2 Papadrakakis, Manolis
...and 130 more Co-Authors
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Serials

160 Computer Methods in Applied Mechanics and Engineering
19 International Journal for Numerical Methods in Engineering
14 Computational Mechanics
8 Journal of Computational Physics
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Journal of Applied Mechanics
6 Computers and Structures
5 International Journal for Numerical Methods in Fluids
4 Computers and Fluids
4 SIAM Journal on Numerical Analysis
4 Physics of Fluids
3 Numerische Mathematik
3 Computer Aided Geometric Design
3 AMD-Volumes
2 Finite Elements in Analysis and Design
2 Journal of Scientific Computing
2 Oberwolfach Reports
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 International Journal of Engineering Science
1 International Journal of Non-Linear Mechanics
1 International Journal of Solids and Structures
1 Mathematical Biosciences
1 Reports on Mathematical Physics
1 Journal of Computational and Applied Mathematics
1 Rendiconti del Seminario Matematico
1 Advances in Engineering Software
1 Parallel Computing
1 Communications in Applied Numerical Methods
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Surveys on Mathematics for Industry
1 Journal of Elasticity
1 Stochastic Processes and their Applications
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Advances in Computational Mathematics
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 Archives of Computational Methods in Engineering
1 GAMM-Mitteilungen
1 Interdisciplinary Applied Mathematics
1 Mathematics Lecture Series
1 Mechanics and Mathematical Methods. First Series: Computational Methods in Mechanics

Publications by Year

Citations contained in zbMATH Open

307 Publications have been cited 28,669 times in 11,212 Documents Cited by Year
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Zbl 1151.74419
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
Computational inelasticity. Zbl 0934.74003
Simo, J. C.; Hughes, T. J. R.
827
1998
Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Zbl 0866.76044
Hughes, Thomas J. R.
784
1995
Mathematical foundations of elasticity. Zbl 0545.73031
Marsden, Jerrold E.; Hughes, Thomas J. R.
688
1983
The finite element method. Linear static and dynamic finite element analysis. Zbl 0634.73056
Hughes, Thomas J. R.
609
1987
The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525
Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste
608
1998
A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Zbl 0622.76077
Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc
596
1986
A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations. Zbl 0697.76100
Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M.
521
1989
Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039
Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K.
457
1981
The finite element method. Linear static and dynamic finite element analysis. Reprint of the 1987 original ed. Zbl 1191.74002
Hughes, Thomas J. R.
445
2000
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.
435
2010
Isogeometric analysis of structural vibrations. Zbl 1119.74024
Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R.
414
2006
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Zbl 1169.76352
Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Hughes, T. J. R.; Reali, A.; Scovazzi, G.
414
2007
Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015
Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y.
378
2008
Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113
Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G.
344
2006
A phase-field description of dynamic brittle fracture. Zbl 1253.74089
Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M.
329
2012
Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Zbl 1161.74020
Bazilevs, Y.; Calo, V. M.; Zhang, Y.; Hughes, T. J. R.
287
2006
Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524
Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R.
270
2008
Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407
Cottrell, J. A.; Hughes, T. J. R.; Reali, A.
269
2007
Large eddy simulation and the variational multiscale method. Zbl 0998.76040
Hughes, Thomas J. R.; Mazzei, Luca; Jansen, Kenneth E.
252
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.
251
1992
Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075
Malkus, David S.; Hughes, Thomas J. R.
248
1978
Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107
Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R.
236
2010
Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029
Hughes, T. J. R.; Reali, A.; Sangalli, G.
234
2010
A multi-dimensional upwind scheme with no crosswind diffusion. Zbl 0423.76067
Hughes, T. J. R.; Brooks, A.
220
1979
Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053
Hughes, Thomas J. R.
213
1980
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
206
2012
Weak imposition of Dirichlet boundary conditions in fluid mechanics. Zbl 1115.76040
Bazilevs, Y.; Hughes, T. J. R.
205
2007
A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems. Zbl 0622.76075
Hughes, Thomas J. R.; Mallet, Michel
203
1986
A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics. Zbl 0572.76068
Hughes, T. J. R.; Franca, L. P.; Mallet, M.
201
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
201
2001
Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Zbl 1086.74038
Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L.
200
2002
A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. Zbl 0635.76067
Hughes, Thomas J. R.; Franca, Leopoldo P.
196
1987
A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074
Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira
195
1986
Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. Zbl 0542.76093
Hughes, T. J. R.; Tezduyar, T. E.
194
1984
Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063
Hughes, Thomas J. R.; Hulbert, Gregory M.
180
1988
Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS. Zbl 1194.74114
Hughes, T. J. R.; Reali, A.; Sangalli, G.
171
2008
Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element. Zbl 0459.73069
Hughes, T. J. R.; Tezduyar, T. E.
170
1981
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
170
2010
Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097
Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R.
166
2011
Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Zbl 1229.74096
Bazilevs, Y.; Gohean, J. R.; Hughes, T. J. R.; Moser, R. D.; Zhang, Y.
163
2009
The multiscale formulation of large eddy simulation: decay of homogeneous isotropic turbulence. Zbl 1184.76236
Hughes, Thomas J. R.; Mazzei, Luca; Oberai, Assad A.; Wray, Alan A.
161
2001
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.
159
2013
Local refinement of analysis-suitable T-splines. Zbl 1243.65030
Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R.
153
2012
Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174
Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R.
151
2013
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
150
1997
A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077
Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
149
2011
Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046
Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E.
147
1977
Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes. Zbl 1406.76023
Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R.
143
2010
\(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements. Zbl 1194.74518
Elguedj, T.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.
139
2008
\(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method. Zbl 1227.65093
Evans, John A.; Bazilevs, Yuri; Babuška, Ivo; Hughes, Thomas J. R.
138
2009
An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273
Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R.
137
2015
On the variational foundations of assumed strain methods. Zbl 0592.73019
Simo, J. C.; Hughes, T. J. R.
136
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.
136
2010
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.
135
2014
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
134
1986
A simple and efficient finite element for plate bending. Zbl 0363.73067
Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak
133
1977
Finite element modeling of blood in arteries. Zbl 0953.76058
Taylor, Charles A.; Hughes, Thomas J. R.; Zarins, Christopher K.
131
1998
Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243
Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R.
131
2011
Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081
Hughes, Thomas J. R.; Winget, James
130
1980
NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043
Bazilevs, Y.; Hughes, T. J. R.
128
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.
126
2007
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.
123
1992
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.
123
2010
A stabilized mixed finite element method for Darcy flow. Zbl 1015.76047
Masud, Arif; Hughes, Thomas J. R.
120
2002
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.
120
2008
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.
119
2007
Finite element analysis of incompressible viscous flows by the penalty function formulation. Zbl 0412.76023
Hughes, Thomas J. R.; Liu, Wing Kam; Brooks, Alec
114
1979
Nonlinear finite element analysis of shells. I. Three-dimensional shells. Zbl 0461.73061
Hughes, Thomas J. R.; Liu, Wing Kam
113
1981
Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
111
2012
Space-time finite element methods for second-order hyperbolic equations. Zbl 0754.73085
Hulbert, Gregory M.; Hughes, Thomas J. R.
110
1990
Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397
Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R.
109
2007
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439
Gomez, Hector; Hughes, Thomas J. R.
108
2011
Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076
Hughes, T. J. R.; Liu, W. K.
107
1978
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.
104
2014
A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems. Zbl 0635.76066
Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel
104
1987
Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126
Temizer, Ị.; Wriggers, P.; Hughes, T. J. R.
103
2011
A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems. Zbl 0899.76259
Masud, Arif; Hughes, Thomas J. R.
101
1997
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.
99
2012
Two classes of mixed finite element methods. Zbl 0629.73053
Franca, Leopoldo P.; Hughes, Thomas J. R.
97
1988
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.
95
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.
95
2006
Product formulas and numerical algorithms. Zbl 0358.65082
Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E.
93
1978
Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems. Zbl 1296.65148
Hughes, Thomas J. R.; Evans, John A.; Reali, Alessandro
92
2014
The continuous Galerkin method is locally conservative. Zbl 0969.65104
Hughes, Thomas J. R.; Engel, Gerald; Mazzei, Luca; Larson, Mats G.
90
2000
A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177
Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T.
90
2010
The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition. Zbl 0764.73077
Barbosa, Helio J. C.; Hughes, Thomas J. R.
89
1991
Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191
Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M.
88
2010
Finite element methods for the Helmholtz equation in an exterior domain: Model problems. Zbl 0760.76047
Harari, Isaac; Hughes, Thomas J. R.
85
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.
85
1992
A matrix-free implicit iterative solver for compressible flow problems. Zbl 0838.76040
Johan, Z.; Hughes, T. J. R.; Shakib, F.
84
1991
On drilling degrees of freedom. Zbl 0691.73015
Hughes, Thomas J. R.; Brezzi, F.
84
1989
A comparative study of different sets of variables for solving compressible and incompressible flows. Zbl 0957.76028
Hauke, Guillermo; Hughes, Thomas J. R.
82
1998
Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337
Evans, John A.; Hughes, Thomas J. R.
80
2013
Implicit-explicit finite elements in transient analysis: Implementation and numerical examples. Zbl 0392.73077
Hughes, T. J. R.; Liu, W. K.
77
1978
An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body. Zbl 0756.76047
Nomura, Takashi; Hughes, Thomas J. R.
76
1992
Blended isogeometric shells. Zbl 1297.74114
Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
76
2013
Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224
Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R.
76
2012
Efficient and robust quadratures for isogeometric analysis: reduced Gauss and Gauss-Greville rules. Zbl 07526022
Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Miao, Di; Sauer, R. A.
5
2022
Analysis-suitable unstructured T-splines: multiple extraordinary points per face. Zbl 07487654
Wei, Xiaodong; Li, Xin; Qian, Kuanren; Hughes, Thomas J. R.; Zhang, Yongjie Jessica; Casquero, Hugo
2
2022
Discontinuous Galerkin methods through the Lens of variational multiscale analysis. Zbl 07442790
Stoter, Stein K. F.; Cockburn, Bernardo; Hughes, Thomas J. R.; Schillinger, Dominik
1
2022
The density of the \((\alpha ,d,\beta)\)-superprocess and singular solutions to a fractional non-linear PDE. Zbl 1494.35159
Hughes, Thomas
1
2022
Simulating the spread of COVID-19 via a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion. Zbl 1448.92349
Viguerie, Alex; Lorenzo, Guillermo; Auricchio, Ferdinando; Baroli, Davide; Hughes, Thomas J. R.; Patton, Alessia; Reali, Alessandro; Yankeelov, Thomas E.; Veneziani, Alessandro
21
2021
Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements. Zbl 07414306
Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Sauer, R. A.; Savitha, E. J.
9
2021
Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions. Zbl 07427371
Hiemstra, René R.; Hughes, Thomas J. R.; Reali, Alessandro; Schillinger, Dominik
5
2021
Isogeometric discrete differential forms: non-uniform degrees, Bézier extraction, polar splines and flows on surfaces. Zbl 07340408
Toshniwal, Deepesh; Hughes, Thomas J. R.
4
2021
Smooth multi-patch discretizations in isogeometric analysis. Zbl 1473.65302
Hughes, Thomas J. R.; Sangalli, Giancarlo; Takacs, Thomas; Toshniwal, Deepesh
3
2021
A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature. Zbl 07340343
Mika, Michal L.; Hughes, Thomas J. R.; Schillinger, Dominik; Wriggers, Peter; Hiemstra, René R.
1
2021
Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines. Zbl 1441.74111
Casquero, Hugo; Wei, Xiaodong; Toshniwal, Deepesh; Li, Angran; Hughes, Thomas J. R.; Kiendl, Josef; Zhang, Yongjie Jessica
17
2020
Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study. Zbl 1469.92127
Viguerie, Alex; Veneziani, Alessandro; Lorenzo, Guillermo; Baroli, Davide; Aretz-Nellesen, Nicole; Patton, Alessia; Yankeelov, Thomas E.; Reali, Alessandro; Hughes, Thomas J. R.; Auricchio, Ferdinando
17
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.
13
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.
12
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
7
2020
Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity. Zbl 07413147
Fahrendorf, Frederik; Morganti, Simone; Reali, Alessandro; Hughes, Thomas J. R.; De Lorenzis, Laura
6
2020
Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization. Zbl 07413177
Hiemstra, René R.; Shepherd, Kendrick M.; Johnson, Michael J.; Quan, Lulin; Hughes, Thomas J. R.
5
2020
Computational cardiovascular analysis with the variational multiscale methods and isogeometric discretization. Zbl 1454.65119
Hughes, Thomas J. R.; Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen
3
2020
A numerical simulation study of the dual role of \(5\alpha\)-reductase inhibitors on tumor growth in prostates enlarged by benign prostatic hyperplasia via stress relaxation and apoptosis upregulation. Zbl 1439.74204
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.
16
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.
14
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.
11
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
24
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.
19
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.
16
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.
13
2018
Improved conditioning of isogeometric analysis matrices for trimmed geometries. Zbl 1440.74426
Marussig, Benjamin; Hiemstra, René; Hughes, Thomas J. R.
8
2018
Isogeometric analysis: mathematical and implementational aspects, with applications. Zbl 1410.65451
Hughes, Thomas J. R.; Sangalli, Giancarlo; Tani, Mattia
5
2018
Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations. Zbl 1439.65017
Toshniwal, Deepesh; Speleers, Hendrik; Hughes, Thomas J. R.
30
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.
22
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.
18
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.
16
2017
Truncated hierarchical tricubic \(C^0\) spline construction on unstructured hexahedral meshes for isogeometric analysis applications. Zbl 1396.65022
Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.
11
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.
9
2017
Truncated T-splines: fundamentals and methods. Zbl 1439.65018
Wei, Xiaodong; Zhang, Yongjie; Liu, Lei; Hughes, Thomas J. R.
9
2017
A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. Zbl 1439.76184
Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R.
6
2017
A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Zbl 1439.74343
Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J.
58
2016
Extended truncated hierarchical Catmull-Clark subdivision. Zbl 1425.65037
Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.; Scott, Michael A.
18
2016
Isogeometric analysis of boundary integral equations: high-order collocation methods for the singular and hyper-singular equations. Zbl 1343.65143
Taus, Matthias; Rodin, Gregory J.; Hughes, Thomas J. R.
12
2016
A palette of fine-scale eddy viscosity and residual-based models for variational multiscale formulations of turbulence. Zbl 1382.76143
Oberai, Assad 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.
137
2015
Isogeometric collocation: Neumann boundary conditions and contact. Zbl 1423.74947
De Lorenzis, L.; Evans, J. A.; Hughes, T. J. R.; Reali, A.
50
2015
Single-variable formulations and isogeometric discretizations for shear deformable beams. Zbl 1423.74492
Kiendl, J.; Auricchio, F.; Hughes, T. J. R.; Reali, A.
45
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.
42
2015
Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028
Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A.
37
2015
A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065
Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H.
32
2015
Isogeometric collocation for large deformation elasticity and frictional contact problems. Zbl 1423.74649
Kruse, R.; Nguyen-Thanh, N.; De Lorenzis, L.; Hughes, T. J. R.
31
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.
28
2015
An introduction to isogeometric collocation methods. Zbl 1327.74144
Reali, Alessandro; Hughes, Thomas J. R.
24
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.
22
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.
9
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.
135
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.
104
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
92
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.
62
2014
Isogeometric contact: a review. Zbl 1308.74114
De Lorenzis, Laura; Wriggers, Peter; Hughes, Thomas J. R.
44
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.
28
2014
Isogeometric analysis of nearly incompressible large strain plasticity. Zbl 1295.74019
Elguedj, T.; Hughes, T. J. R.
14
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.
9
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.
159
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.
151
2013
Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337
Evans, John A.; Hughes, Thomas J. R.
80
2013
Blended isogeometric shells. Zbl 1297.74114
Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
76
2013
Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations. Zbl 1349.76054
Evans, John A.; Hughes, Thomas J. R.
64
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.
56
2013
Conformal solid T-spline construction from boundary T-spline representations. Zbl 1367.65024
Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R.
42
2013
Isogeometric divergence-conforming B-splines for the Darcy-Stokes-Brinkman equations. Zbl 1355.76064
Evans, John A.; Hughes, Thomas J. R.
35
2013
Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements. Zbl 1259.65169
Evans, John A.; Hughes, Thomas J. R.
30
2013
Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations. Zbl 1349.76237
Liu, Ju; Gomez, Hector; Evans, John A.; Hughes, Thomas J. R.; Landis, Chad M.
27
2013
Simulation of laminar and turbulent concentric pipe flows with the isogeometric variational multiscale method. Zbl 1365.76033
Ghaffari Motlagh, Yousef; Ahn, Hyung Taek; Hughes, Thomas J. R.; Calo, Victor M.
13
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.
329
2012
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
206
2012
Local refinement of analysis-suitable T-splines. Zbl 1243.65030
Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R.
153
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.
111
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.
99
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.
95
2012
Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224
Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R.
76
2012
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130
Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R.
76
2012
Solid T-spline construction from boundary representations for genus-zero geometry. Zbl 1348.65057
Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R.
70
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.
30
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.
25
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.
19
2012
Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem. Zbl 1311.76024
Evans, John A.; Hughes, Thomas J. R.
13
2012
A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements. Zbl 1242.74109
Duddu, Ravindra; Lavier, Luc L.; Hughes, Thomas J. R.; Calo, Victor M.
12
2012
Generalization of the twist-Kirchhoff theory of plate elements to arbitrary quadrilaterals and assessment of convergence. Zbl 1243.74187
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.
166
2011
A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077
Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
149
2011
Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243
Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R.
131
2011
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439
Gomez, Hector; Hughes, Thomas J. R.
108
2011
Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126
Temizer, Ị.; Wriggers, P.; Hughes, T. J. R.
103
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
69
2011
An isogeometric approach to cohesive zone modeling. Zbl 1242.74169
Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R.
56
2011
Converting an unstructured quadrilateral mesh to a standard T-spline surface. Zbl 1248.65024
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
New rectangular plate elements based on twist-Kirchhoff theory. Zbl 1230.74170
Brezzi, F.; Evans, J. A.; Hughes, T. J. R.; Marini, L. D.
5
2011
Isogeometric analysis. Zbl 1228.65224
Hughes, Thomas J. R.; Evans, John A.
1
2011
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.
435
2010
Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107
Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R.
236
2010
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Cited by 12,722 Authors

217 Hughes, Thomas J. R.
184 Tezduyar, Tayfun E.
122 Bazilevs, Yuri
105 Codina, Ramon
94 Rabczuk, Timon
94 Takizawa, Kenji
71 Liu, Wing Kam
66 Calo, Victor Manuel
66 Oñate Ibáñez de Navarra, Eugenio
64 Wriggers, Peter
61 Wall, Wolfgang A.
60 Hsu, Ming-Chen
59 Belytschko, Ted Bohdan
55 Sangalli, Giancarlo
54 Liu, Gui-Rong
54 Reali, Alessandro
52 Zhang, Yongjie Jessica
49 Masud, Arif
47 Beirão da Veiga, Lourenço
45 Franca, Leopoldo Luis Cabo Penna
45 Harari, Isaac
45 Nguyen-Xuan, Hung
45 Simo, Juan Carlos
44 Jüttler, Bert
42 Schillinger, Dominik
41 Buffa, Annalisa
41 Evans, John A.
41 John, Volker
40 Auricchio, Ferdinando
40 de Borst, René
40 de Lorenzis, Laura
37 Gómez, Héctor J.
37 Quarteroni, Alfio M.
37 Scovazzi, Guglielmo
37 Steinmann, Paul
36 Bordas, Stéphane Pierre Alain
36 Burman, Erik
36 Idelsohn, Sergio Rodolfo
36 Kiendl, Josef
35 Badia, Santiago
35 Bui, Tinh Quoc
35 Speleers, Hendrik
34 Larson, Mats G.
34 Oberai, Assad A.
34 Wick, Thomas
33 Abgrall, Rémi
33 Hansbo, Peter
33 Manni, Carla
33 Rank, Ernst
32 Coutinho, Alvaro L. G. A.
32 Ibrahimbegović, Adnan
32 Scott, Michael A.
31 Benson, David J.
31 Farhat, Charbel H.
31 He, Yinnian
31 Taylor, Robert Leroy
31 Van Brummelen, Harald
30 Chung, Tsz Shun Eric
30 Loula, Abimael Fernando Dourado
29 Hauke, Guillermo
29 Marsden, Jerrold Eldon
29 Miehe, Christian
29 Ortiz, Michael
29 Perić, Djordje
29 Wohlmuth, Barbara I.
29 Zhuang, Xiaoying
28 Baiges, Joan
28 Fish, Jacob
28 Reddy, B. Dayanand
28 Tamma, Kumar K.
27 Efendiev, Yalchin R.
27 Feng, Minfu
27 Gravemeier, Volker
27 Sauer, Roger A.
26 Chen, Jiun-Shyan
26 Düster, Alexander
26 Verhoosel, Clemens V.
25 Givoli, Dan
25 Marsden, Alison L.
25 Nguyen-Thoi, Trung
25 Yavari, Arash
24 Bletzinger, Kai-Uwe
24 Dede’, Luca
24 Li, Xin
24 Shadid, John N.
24 Simeon, Bernd
24 Soares, Delfim jun.
24 Waisman, Haim
23 Areias, Pedro M. A.
23 Borja, Ronaldo I.
23 Gravouil, Anthony
23 Huerta, Antonio
23 Langer, Ulrich
23 Lovadina, Carlo
23 Lube, Gert
23 Nakshatrala, K. B.
23 Rebholz, Leo G.
23 Wheeler, Mary Fanett
23 Wüchner, Roland
22 Anitescu, Cosmin
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130 Applied Mathematical Modelling
130 European Journal of Mechanics. A. Solids
126 Applied Mathematics and Computation
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81 Archives of Computational Methods in Engineering
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56 International Journal of Solids and Structures
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49 Archive for Rational Mechanics and Analysis
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33 International Journal for Numerical and Analytical Methods in Geomechanics
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12 Discrete and Continuous Dynamical Systems. Series S
11 Computing
11 Abstract and Applied Analysis
11 International Journal of Numerical Analysis and Modeling
11 S\(\vec{\text{e}}\)MA Journal
10 International Journal of Heat and Mass Transfer
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Numerical Functional Analysis and Optimization
10 Japan Journal of Industrial and Applied Mathematics
10 Nonlinear Analysis. Theory, Methods & Applications
9 General Relativity and Gravitation
9 Theoretical and Computational Fluid Dynamics
9 Physica D
9 SIAM Journal on Applied Mathematics
9 ETNA. Electronic Transactions on Numerical Analysis
9 Computing and Visualization in Science
9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
9 Science China. Mathematics
9 SMAI Journal of Computational Mathematics
...and 315 more Serials
all top 5

Cited in 53 Fields

5,536 Mechanics of deformable solids (74-XX)
5,325 Numerical analysis (65-XX)
4,038 Fluid mechanics (76-XX)
1,657 Partial differential equations (35-XX)
467 Biology and other natural sciences (92-XX)
282 Classical thermodynamics, heat transfer (80-XX)
222 Calculus of variations and optimal control; optimization (49-XX)
171 Approximations and expansions (41-XX)
164 Geophysics (86-XX)
160 Mechanics of particles and systems (70-XX)
158 Statistical mechanics, structure of matter (82-XX)
155 Optics, electromagnetic theory (78-XX)
137 Computer science (68-XX)
90 Ordinary differential equations (34-XX)
89 Differential geometry (53-XX)
76 Operations research, mathematical programming (90-XX)
54 Linear and multilinear algebra; matrix theory (15-XX)
54 Dynamical systems and ergodic theory (37-XX)
52 Systems theory; control (93-XX)
50 Operator theory (47-XX)
44 Probability theory and stochastic processes (60-XX)
43 Relativity and gravitational theory (83-XX)
41 Global analysis, analysis on manifolds (58-XX)
38 Quantum theory (81-XX)
30 Statistics (62-XX)
27 Integral equations (45-XX)
26 Potential theory (31-XX)
18 Information and communication theory, circuits (94-XX)
15 Functional analysis (46-XX)
14 Real functions (26-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
10 Combinatorics (05-XX)
8 General and overarching topics; collections (00-XX)
8 Commutative algebra (13-XX)
7 History and biography (01-XX)
7 Topological groups, Lie groups (22-XX)
5 Measure and integration (28-XX)
5 Functions of a complex variable (30-XX)
4 Algebraic geometry (14-XX)
4 Integral transforms, operational calculus (44-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
2 Mathematical logic and foundations (03-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year

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