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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, T. J. R.; Hughes, Thomas; Hughes, Thomas J. R.
Homepage: http://users.ices.utexas.edu/~hughes/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 329 Publications since 1973, including 22 Books
Biographic References: 2 Publications
all top 5

Co-Authors

15 single-authored
35 Bazilevs, Yuri
26 Evans, John A.
21 Calo, Victor Manuel
21 Franca, Leopoldo Luis Cabo Penna
19 Tezduyar, Tayfun E.
18 Reali, Alessandro
18 Scott, Michael A.
13 Johan, Zdeněk
12 Zhang, Yongjie
11 Hsu, Ming-Chen
11 Sangalli, Giancarlo
10 Toshniwal, Deepesh
9 Hiemstra, René R.
9 Liu, Wing Kam
9 Schillinger, Dominik
9 Taylor, Robert Leroy
8 Brooks, Alexander N.
8 Cottrell, J. Austin
8 Harari, Isaac
8 Landis, Chad M.
8 Oberai, Assad A.
7 Auricchio, Ferdinando
7 Borden, Michael J.
7 Brezzi, Franco
7 Mallet, Michel
7 Mazzei, Luca
7 Oden, John Tinsley
6 Marsden, Jerrold Eldon
6 Masud, Arif
6 Scovazzi, Guglielmo
6 Speleers, Hendrik
6 Stewart, James R.
6 Wei, Xiaodong
5 Belytschko, Ted Bohdan
5 Benson, David J.
5 Ferencz, Robert M.
5 Jansen, Kenneth E.
5 Liu, Ju
5 Loula, Abimael Fernando Dourado
5 Sederberg, Thomas W.
5 Shakib, Farzin
5 Verhoosel, Clemens V.
5 Winget, James M.
4 Argyris, John Hadji
4 Beirão da Veiga, Lourenço
4 Carnoy, Eric G.
4 Garikipati, Krishna
4 Gómez, Héctor W.
4 Hauke, Guillermo
4 Hulbert, Gregory M.
4 Johnsson, S. Lennart
4 Kamensky, David
4 Lorenzo, Guillermo
4 Manni, Carla
4 Mathur, Kapil K.
4 Miranda, Isidoro
4 Taylor, Charles A.
4 Wang, Wenyan
4 Wriggers, Peter
4 Zhang, Yongjie Jessica
3 Bajaj, Chandrajit L.
3 Barbosa, Hélio José C.
3 Buffa, Annalisa
3 Calabró, Francesco
3 de Borst, René
3 de Lorenzis, Laura
3 Dede, Luca
3 Elguedj, Thomas
3 Engel, Gerald
3 Gómez, Héctor J.
3 Kanok-Nukulchai, Worsak
3 Kiendl, Josef
3 Larson, Mats G.
3 Levit, Itzhak
3 Li, Xin
3 Lipton, S.
3 Marini, Luisa Donatella
3 Rifai, Steven M.
3 Russo, Alessandro
3 Sacks, Michael S.
3 Simo, Juan Carlos
3 Tessler, Alexander
3 Wells, Garth N.
2 Anvari, Amin
2 Babuška, Ivo
2 Baroli, Davide
2 Bochev, Pavel B.
2 Borden, Micheal J.
2 Figueroa, C. Alberto
2 Hartmann, Stefan
2 Jansen, Katrin
2 Kunoth, Angela
2 Lee, Isaac J.
2 Malkus, David S.
2 Mandadapu, Kranthi K.
2 Michler, Christian
2 Mizukami, Akira
2 Papadrakakis, Manolis
2 Patton, Alessia
2 Pister, Karl S.
...and 131 more Co-Authors
all top 5

Serials

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

Publications by Year

Citations contained in zbMATH Open

296 Publications have been cited 26,306 times in 10,287 Documents Cited by Year
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Zbl 1151.74419
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
The finite element method. Linear static and dynamic finite element analysis. Zbl 0634.73056
Hughes, Thomas J. R.
1987
Isogeometric analysis. Toward integration of CAD and FEA. Zbl 1378.65009
Cottrell, J. Austin; Hughes, Thomas J. R.; Bazilevs, Yuri
930
2009
Computational inelasticity. Zbl 0934.74003
Simo, J. C.; Hughes, T. J. R.
759
1998
Mathematical foundations of elasticity. Zbl 0545.73031
Marsden, Jerrold E.; Hughes, Thomas J. R.
730
1983
Multiscale phenomena: Green’s functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Zbl 0866.76044
Hughes, Thomas J. R.
720
1995
A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Zbl 0622.76077
Hughes, Thomas J. R.; Franca, Leopoldo P.; Balestra, Marc
560
1986
The finite element method. Linear static and dynamic finite element analysis. Reprint of the 1987 original ed. Zbl 1191.74002
Hughes, Thomas J. R.
532
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
532
1998
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.
476
1989
Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039
Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K.
426
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.
375
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.
364
2007
Isogeometric analysis of structural vibrations. Zbl 1119.74024
Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R.
363
2006
Isogeometric fluid-structure interaction: Theory, algorithms, and computations. Zbl 1169.74015
Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Zhang, Y.
340
2008
Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. Zbl 1103.65113
Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G.
300
2006
Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Zbl 1161.74020
Bazilevs, Y.; Calo, V. M.; Zhang, Y.; Hughes, T. J. R.
261
2006
Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407
Cottrell, J. A.; Hughes, T. J. R.; Reali, A.
254
2007
Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040
Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R.
238
1992
Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075
Malkus, David S.; Hughes, Thomas J. R.
237
1978
Large eddy simulation and the variational multiscale method. Zbl 0998.76040
Hughes, Thomas J. R.; Mazzei, Luca; Jansen, Kenneth E.
235
2000
Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524
Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R.
227
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.
224
2012
A multi-dimensional upwind scheme with no crosswind diffusion. Zbl 0423.76067
Hughes, T. J. R.; Brooks, A.
214
1979
Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029
Hughes, T. J. R.; Reali, A.; Sangalli, G.
207
2010
Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107
Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R.
203
2010
A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems. Zbl 0622.76075
Hughes, Thomas J. R.; Mallet, Michel
201
1986
Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053
Hughes, Thomas J. R.
201
1980
Large eddy simulation of turbulent channel flows by the variational multiscale method. Zbl 1184.76237
Hughes, Thomas J. R.; Oberai, Assad A.; Mazzei, Luca
187
2001
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
182
2012
Weak imposition of Dirichlet boundary conditions in fluid mechanics. Zbl 1115.76040
Bazilevs, Y.; Hughes, T. J. R.
182
2007
Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. Zbl 0542.76093
Hughes, T. J. R.; Tezduyar, T. E.
182
1984
A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074
Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira
176
1986
Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Zbl 1086.74038
Engel, G.; Garikipati, K.; Hughes, T. J. R.; Larson, M. G.; Mazzei, L.; Taylor, R. L.
174
2002
A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. Zbl 0635.76067
Hughes, Thomas J. R.; Franca, Leopoldo P.
174
1987
A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics. Zbl 0572.76068
Hughes, T. J. R.; Franca, L. P.; Mallet, M.
173
1986
Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063
Hughes, Thomas J. R.; Hulbert, Gregory M.
166
1988
Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element. Zbl 0459.73069
Hughes, T. J. R.; Tezduyar, T. E.
164
1981
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.
155
2001
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.
149
2011
Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS. Zbl 1194.74114
Hughes, T. J. R.; Reali, A.; Sangalli, G.
148
2008
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
145
2010
\(b=\int g\). Zbl 0904.76041
Brezzi, F.; Franca, L. P.; Hughes, T. J. R.; Russo, A.
145
1997
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.
143
2013
Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Zbl 1229.74096
Bazilevs, Y.; Gohean, J. R.; Hughes, T. J. R.; Moser, R. D.; Zhang, Y.
143
2009
Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046
Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E.
143
1977
Local refinement of analysis-suitable T-splines. Zbl 1243.65030
Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R.
138
2012
Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes. Zbl 1406.76023
Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R.
133
2010
A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems. Zbl 0587.76120
Hughes, Thomas J. R.; Mallet, Michel
131
1986
On the variational foundations of assumed strain methods. Zbl 0592.73019
Simo, J. C.; Hughes, T. J. R.
129
1986
Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081
Hughes, Thomas J. R.; Winget, James
128
1980
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.
126
2013
Two classes of mixed finite element methods. Zbl 0629.73053
Franca, Leopoldo P.; Hughes, Thomas J. R.
126
1988
A simple and efficient finite element for plate bending. Zbl 0363.73067
Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak
124
1977
Improving stability of stabilized and multiscale formulations in flow simulations at small time steps. Zbl 1406.76028
Hsu, M.-C.; Bazilevs, Y.; Calo, V. M.; Tezduyar, T. E.; Hughes, T. J. R.
123
2010
\(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method. Zbl 1227.65093
Evans, John A.; Bazilevs, Yuri; Babuška, Ivo; Hughes, Thomas J. R.
123
2009
Finite element modeling of blood in arteries. Zbl 0953.76058
Taylor, Charles A.; Hughes, Thomas J. R.; Zarins, Christopher K.
123
1998
\(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements. Zbl 1194.74518
Elguedj, T.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.
122
2008
A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077
Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
121
2011
Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243
Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R.
119
2011
An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. Zbl 1423.74273
Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik; Evans, John A.; Aggarwal, Ankush; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R.
117
2015
The role of continuity in residual-based variational multiscale modeling of turbulence. Zbl 1162.76355
Akkerman, I.; Bazilevs, Y.; Calo, V. M.; Hughes, T. J. R.; Hulshoff, S.
116
2008
Robustness of isogeometric structural discretizations under severe mesh distortion. Zbl 1227.74112
Lipton, S.; Evans, J. A.; Bazilevs, Y.; Elguedj, T.; Hughes, T. J. R.
115
2010
NURBS-based isogeometric analysis for the computation of flows about rotating components. Zbl 1171.76043
Bazilevs, Y.; Hughes, T. J. R.
115
2008
Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains. Zbl 0762.76053
Harari, Isaac; Hughes, Thomas J. R.
115
1992
Finite element analysis of incompressible viscous flows by the penalty function formulation. Zbl 0412.76023
Hughes, Thomas J. R.; Liu, Wing Kam; Brooks, Alec
115
1979
Variational multiscale analysis: The fine-scale Green’s function, projection, optimization, localization, and stabilized methods. Zbl 1152.65111
Hughes, T. J. R.; Sangalli, G.
112
2007
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.
110
2007
Nonlinear finite element analysis of shells. I. Three-dimensional shells. Zbl 0461.73061
Hughes, Thomas J. R.; Liu, Wing Kam
108
1981
A stabilized mixed finite element method for Darcy flow. Zbl 1015.76047
Masud, Arif; Hughes, Thomas J. R.
104
2002
Space-time finite element methods for second-order hyperbolic equations. Zbl 0754.73085
Hulbert, Gregory M.; Hughes, Thomas J. R.
100
1990
Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076
Hughes, T. J. R.; Liu, W. K.
99
1978
Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Zbl 1173.76397
Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R.
96
2007
A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems. Zbl 0635.76066
Hughes, Thomas J. R.; Franca, Leopoldo P.; Mallet, Michel
94
1987
A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems. Zbl 0899.76259
Masud, Arif; Hughes, Thomas J. R.
93
1997
A matrix-free implicit iterative solver for compressible flow problems. Zbl 0838.76040
Johan, Z.; Hughes, T. J. R.; Shakib, F.
93
1991
A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework. Zbl 1296.74098
Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Verhoosel, Clemens V.
91
2014
Isogeometric collocation for elastostatics and explicit dynamics. Zbl 1348.74305
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
90
2012
Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126
Temizer, Ị.; Wriggers, P.; Hughes, T. J. R.
89
2011
A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis. Zbl 1348.65059
Auricchio, F.; Calabrò, F.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
88
2012
A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. Zbl 1126.76029
Figueroa, C. Alberto; Vignon-Clementel, Irene E.; Jansen, Kenneth E.; Hughes, Thomas J. R.; Taylor, Charles A.
88
2006
Product formulas and numerical algorithms. Zbl 0358.65082
Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E.
87
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.
86
2012
Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation. Zbl 1311.74039
Hsu, Ming-Chen; Kamensky, David; Bazilevs, Yuri; Sacks, Michael S.; Hughes, Thomas J. R.
84
2014
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439
Gomez, Hector; Hughes, Thomas J. R.
84
2011
On drilling degrees of freedom. Zbl 0691.73015
Hughes, Thomas J. R.; Brezzi, F.
83
1989
Finite element methods for the Helmholtz equation in an exterior domain: Model problems. Zbl 0760.76047
Harari, Isaac; Hughes, Thomas J. R.
82
1991
Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191
Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M.
81
2010
The continuous Galerkin method is locally conservative. Zbl 0969.65104
Hughes, Thomas J. R.; Engel, Gerald; Mazzei, Luca; Larson, Mats G.
81
2000
What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods. Zbl 0764.73083
Harari, Isaac; Hughes, Thomas J. R.
81
1992
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.
80
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.
78
2010
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
77
1976
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
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
73
2014
A comparative study of different sets of variables for solving compressible and incompressible flows. Zbl 0957.76028
Hauke, Guillermo; Hughes, Thomas J. R.
71
1998
Implicit-explicit finite elements in transient analysis: Implementation and numerical examples. Zbl 0392.73077
Hughes, T. J. R.; Liu, W. K.
71
1978
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130
Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R.
69
2012
Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337
Evans, John A.; Hughes, Thomas J. R.
67
2013
Simulating the spread of COVID-19 via a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion. Zbl 1448.92349
Viguerie, Alex; Lorenzo, Guillermo; Auricchio, Ferdinando; Baroli, Davide; Hughes, Thomas J. R.; Patton, Alessia; Reali, Alessandro; Yankeelov, Thomas E.; Veneziani, Alessandro
4
2021
Multi-degree B-splines: algorithmic computation and properties. Zbl 1453.65034
Toshniwal, Deepesh; Speleers, Hendrik; Hiemstra, René R.; Manni, Carla; Hughes, Thomas J. R.
5
2020
A Tchebycheffian extension of multidegree B-splines: algorithmic computation and properties. Zbl 1437.41004
Hiemstra, René R.; Hughes, Thomas J. R.; Manni, Carla; Speleers, Hendrik; Toshniwal, Deepesh
3
2020
An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS. Zbl 07185494
Paul, Karsten; Zimmermann, Christopher; Mandadapu, Kranthi K.; Hughes, Thomas J. R.; Landis, Chad M.; Sauer, Roger A.
3
2020
Seamless integration of design and Kirchhoff-Love shell analysis using analysis-suitable unstructured T-splines. Zbl 1441.74111
Casquero, Hugo; Wei, Xiaodong; Toshniwal, Deepesh; Li, Angran; Hughes, Thomas J. R.; Kiendl, Josef; Zhang, Yongjie Jessica
2
2020
Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity. Zbl 1441.74244
Hiemstra, René R.; Sangalli, Giancarlo; Tani, Mattia; Calabrò, Francesco; Hughes, Thomas J. R.
7
2019
An isogeometric finite element formulation for phase transitions on deforming surfaces. Zbl 1441.74286
Zimmermann, Christopher; Toshniwal, Deepesh; Landis, Chad M.; Hughes, Thomas J. R.; Mandadapu, Kranthi K.; Sauer, Roger A.
6
2019
Isogeometric boundary element methods and patch tests for linear elastic problems: formulation, numerical integration, and applications. Zbl 1442.65418
Taus, Matthias; Rodin, Gregory J.; Hughes, Thomas J. R.; Scott, Michael A.
3
2019
Polynomial splines of non-uniform degree on triangulations: combinatorial bounds on the dimension. Zbl 07137431
Toshniwal, Deepesh; Hughes, Thomas J. R.
3
2019
A boundary local time for one-dimensional super-Brownian motion and applications. Zbl 07068785
Hughes, Thomas
1
2019
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.
16
2018
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
9
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.
4
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.
4
2018
Isogeometric analysis: mathematical and implementational aspects, with applications. Zbl 1410.65451
Hughes, Thomas J. R.; Sangalli, Giancarlo; Tani, Mattia
4
2018
Improved conditioning of isogeometric analysis matrices for trimmed geometries. Zbl 1440.74426
Marussig, Benjamin; Hiemstra, René; Hughes, Thomas J. R.
3
2018
Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations. Zbl 1439.65017
Toshniwal, Deepesh; Speleers, Hendrik; Hughes, Thomas J. R.
10
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.
9
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.
8
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.
7
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.
5
2017
Truncated T-splines: fundamentals and methods. Zbl 1439.65018
Wei, Xiaodong; Zhang, Yongjie; Liu, Lei; Hughes, Thomas J. R.
4
2017
Truncated hierarchical tricubic \(C^0\) spline construction on unstructured hexahedral meshes for isogeometric analysis applications. Zbl 1396.65022
Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.
4
2017
A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans. Zbl 1439.76184
Stoter, Stein K. F.; Müller, Peter; Cicalese, Luca; Tuveri, Massimiliano; Schillinger, Dominik; Hughes, Thomas J. R.
1
2017
A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Zbl 1439.74343
Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J.
17
2016
Extended truncated hierarchical Catmull-Clark subdivision. Zbl 1425.65037
Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.; Scott, Michael A.
14
2016
Isogeometric analysis of boundary integral equations: high-order collocation methods for the singular and hyper-singular equations. Zbl 1343.65143
Taus, Matthias; Rodin, Gregory J.; Hughes, Thomas J. R.
7
2016
A palette of fine-scale eddy viscosity and residual-based models for variational multiscale formulations of turbulence. Zbl 1382.76143
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.
117
2015
Isogeometric collocation: Neumann boundary conditions and contact. Zbl 1423.74947
De Lorenzis, L.; Evans, J. A.; Hughes, T. J. R.; Reali, A.
42
2015
Single-variable formulations and isogeometric discretizations for shear deformable beams. Zbl 1423.74492
Kiendl, J.; Auricchio, F.; Hughes, T. J. R.; Reali, A.
38
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.
32
2015
Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028
Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A.
28
2015
A locking-free model for Reissner-Mindlin plates: analysis and isogeometric implementation via nurbs and triangular nurps. Zbl 1321.74065
Beirão da Veiga, L.; Hughes, T. J. R.; Kiendl, J.; Lovadina, C.; Niiranen, J.; Reali, A.; Speleers, H.
26
2015
Isogeometric collocation for large deformation elasticity and frictional contact problems. Zbl 1423.74649
Kruse, R.; Nguyen-Thanh, N.; De Lorenzis, L.; Hughes, T. J. R.
20
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.
20
2015
An introduction to isogeometric collocation methods. Zbl 1327.74144
Reali, Alessandro; Hughes, Thomas J. R.
20
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.
14
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.
8
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.
91
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.
84
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
73
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.
51
2014
Isogeometric contact: a review. Zbl 1308.74114
De Lorenzis, Laura; Wriggers, Peter; Hughes, Thomas J. R.
32
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.
23
2014
Isogeometric analysis of nearly incompressible large strain plasticity. Zbl 1295.74019
Elguedj, T.; Hughes, T. J. R.
12
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.
7
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.
143
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.
126
2013
Isogeometric divergence-conforming \(B\)-splines for the steady Navier-Stokes equations. Zbl 1383.76337
Evans, John A.; Hughes, Thomas J. R.
67
2013
Blended isogeometric shells. Zbl 1297.74114
Benson, D. J.; Hartmann, S.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
64
2013
Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations. Zbl 1349.76054
Evans, John A.; Hughes, Thomas J. R.
55
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.
45
2013
Conformal solid T-spline construction from boundary T-spline representations. Zbl 1367.65024
Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R.
40
2013
Isogeometric divergence-conforming B-splines for the Darcy-Stokes-Brinkman equations. Zbl 1355.76064
Evans, John A.; Hughes, Thomas J. R.
30
2013
Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements. Zbl 1259.65169
Evans, John A.; Hughes, Thomas J. R.
27
2013
Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations. Zbl 1349.76237
Liu, Ju; Gomez, Hector; Evans, John A.; Hughes, Thomas J. R.; Landis, Chad M.
23
2013
Simulation of laminar and turbulent concentric pipe flows with the isogeometric variational multiscale method. Zbl 1365.76033
Ghaffari Motlagh, Yousef; Ahn, Hyung Taek; Hughes, Thomas J. R.; Calo, Victor M.
11
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.
224
2012
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055
Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R.
182
2012
Local refinement of analysis-suitable T-splines. Zbl 1243.65030
Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R.
138
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.
90
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.
88
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.
86
2012
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS. Zbl 1243.74130
Temizer, İlker; Wriggers, Peter; Hughes, Thomas J. R.
69
2012
Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224
Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R.
59
2012
Solid T-spline construction from boundary representations for genus-zero geometry. Zbl 1348.65057
Zhang, Yongjie; Wang, Wenyan; Hughes, Thomas J. R.
59
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.
26
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.
19
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.
17
2012
Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem. Zbl 1311.76024
Evans, John A.; Hughes, Thomas J. R.
12
2012
A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements. Zbl 1242.74109
Duddu, Ravindra; Lavier, Luc L.; Hughes, Thomas J. R.; Calo, Victor M.
10
2012
Generalization of the twist-Kirchhoff theory of plate elements to arbitrary quadrilaterals and assessment of convergence. Zbl 1243.74187
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.
149
2011
A large deformation, rotation-free, isogeometric shell. Zbl 1228.74077
Benson, D. J.; Bazilevs, Y.; Hsu, M.-C.; Hughes, T. J. R.
121
2011
Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243
Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R.
119
2011
Contact treatment in isogeometric analysis with NURBS. Zbl 1225.74126
Temizer, Ị.; Wriggers, P.; Hughes, T. J. R.
89
2011
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. Zbl 1419.76439
Gomez, Hector; Hughes, Thomas J. R.
84
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
66
2011
An isogeometric approach to cohesive zone modeling. Zbl 1242.74169
Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R.
49
2011
Converting an unstructured quadrilateral mesh to a standard T-spline surface. Zbl 1248.65024
Wang, Wenyan; Zhang, Yongjie; Scott, Michael A.; Hughes, Thomas J. R.
28
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.
375
2010
Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029
Hughes, T. J. R.; Reali, A.; Sangalli, G.
207
2010
Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107
Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R.
203
2010
Isogeometric collocation methods. Zbl 1226.65091
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G.
145
2010
Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes. Zbl 1406.76023
Bazilevs, Y.; Michler, C.; Calo, V. M.; Hughes, T. J. R.
133
2010
Improving stability of stabilized and multiscale formulations in flow simulations at small time steps. Zbl 1406.76028
Hsu, M.-C.; Bazilevs, Y.; Calo, V. M.; Tezduyar, T. E.; Hughes, T. J. R.
123
2010
Robustness of isogeometric structural discretizations under severe mesh distortion. Zbl 1227.74112
Lipton, S.; Evans, J. A.; Bazilevs, Y.; Elguedj, T.; Hughes, T. J. R.
115
2010
Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations. Zbl 1231.76191
Gomez, Hector; Hughes, Thomas J. R.; Nogueira, Xesús; Calo, Victor M.
81
2010
A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177
Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T.
78
2010
Stabilized methods for compressible flows. Zbl 1203.76130
Hughes, Thomas J. R.; Scovazzi, Guglielmo; Tezduyar, Tayfun E.
54
2010
An automatic 3D mesh generation method for domains with multiple materials. Zbl 1227.74129
Zhang, Yongjie; Hughes, Thomas J. R.; Bajaj, Chandrajit L.
26
2010
Special issue: Turbulence modeling for large eddy simulations. Selected papers based on the presentations at the minisymposium, San Francisco, CA, USA, July 22–26, 2007. Zbl 1198.76009
Calo, Victor M. (ed.); Bazilevs, Yuri (ed.); Hughes, Thomas J. R. (ed.)
1
2010
Isogeometric analysis. Toward integration of CAD and FEA. Zbl 1378.65009
Cottrell, J. Austin; Hughes, Thomas J. R.; Bazilevs, Yuri
930
2009
Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Zbl 1229.74096
Bazilevs, Y.; Gohean, J. R.; Hughes, T. J. R.; Moser, R. D.; Zhang, Y.
143
2009
\(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method. Zbl 1227.65093
Evans, John A.; Bazilevs, Yuri; Babuška, Ivo; Hughes, Thomas J. R.
123
2009
Augmented Lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow. Zbl 1229.76118
Kim, H. J.; Figueroa, C. A.; Hughes, T. J. R.; Jansen, K. E.; Taylor, C. A.
17
2009
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Cited by 12,678 Authors

208 Hughes, Thomas J. R.
172 Tezduyar, Tayfun E.
115 Bazilevs, Yuri
98 Codina, Ramon
82 Takizawa, Kenji
78 Rabczuk, Timon
73 Liu, Wing Kam
62 Belytschko, Ted Bohdan
61 Oñate Ibáñez de Navarra, Eugenio
59 Calo, Victor Manuel
58 Wriggers, Peter
57 Liu, Gui-Rong
56 Wall, Wolfgang A.
55 Reali, Alessandro
52 Hsu, Ming-Chen
50 Sangalli, Giancarlo
48 Beirão da Veiga, Lourenço
46 Harari, Isaac
46 Simo, Juan Carlos
45 Franca, Leopoldo Luis Cabo Penna
44 Masud, Arif
43 Nguyen-Xuan, Hung
41 Auricchio, Ferdinando
39 Evans, John A.
38 John, Volker
38 Steinmann, Paul
37 de Borst, René
37 Givoli, Dan
37 Quarteroni, Alfio M.
36 Idelsohn, Sergio Rodolfo
36 Jüttler, Bert
35 Buffa, Annalisa
35 Scovazzi, Guglielmo
34 Bordas, Stéphane Pierre Alain
34 Farhat, Charbel H.
34 Schillinger, Dominik
33 Ibrahimbegović, Adnan
33 Kiendl, Josef
33 Larson, Mats G.
32 Badia, Santiago
32 Benson, David J.
32 de Lorenzis, Laura
32 Hansbo, Peter
32 Miehe, Christian
32 Oberai, Assad A.
32 Ortiz, Michael
32 Rank, Ernst
32 Taylor, Robert Leroy
30 Burman, Erik
30 Loula, Abimael Fernando Dourado
30 Marsden, Jerrold Eldon
30 Perić, Djordje
30 Speleers, Hendrik
29 Abgrall, Rémi
28 Coutinho, Alvaro L. G. A.
28 Hauke, Guillermo
28 He, Yinnian
28 Manni, Carla
28 Reddy, B. Dayanand
28 Wick, Thomas
27 Fish, Jacob
27 Gravemeier, Volker
27 Huerta, Antonio
27 Scott, Michael A.
27 Wohlmuth, Barbara I.
27 Zhang, Yongjie
26 Tamma, Kumar K.
26 Van Brummelen, Harald
25 Lovadina, Carlo
25 Nguyen-Thoi, Trung
25 Simeon, Bernd
24 Borja, Ronaldo I.
24 Chen, Jiun-Shyan
24 Düster, Alexander
24 Pinsky, Peter M.
24 Shadid, John N.
24 Waisman, Haim
24 Yavari, Arash
24 Zhuang, Xiaoying
23 Baiges, Joan
23 Efendiev, Yalchin R.
23 Gravouil, Anthony
23 Lube, Gert
23 Verhoosel, Clemens V.
22 Bletzinger, Kai-Uwe
22 Bui, Tinh Quoc
22 Dede, Luca
22 Gómez, Héctor J.
22 Nakshatrala, K. B.
22 Wheeler, Mary Fanett
21 Armero, Francisco
21 Betsch, Peter
21 Bonet, Javier
21 Chung, Tsz Shun Eric
21 Combescure, Alain
21 Dutra do Carmo, Eduardo Gomes
21 Jansen, Kenneth E.
21 Langer, Ulrich
21 Marsden, Alison L.
21 Mittal, Sanjay
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186 International Journal for Numerical Methods in Fluids
160 Engineering Analysis with Boundary Elements
147 Journal of Scientific Computing
147 Communications in Numerical Methods in Engineering
124 Applied Mathematics and Computation
124 Applied Numerical Mathematics
112 European Journal of Mechanics. A. Solids
106 Acta Mechanica
102 Applied Mathematical Modelling
93 Numerische Mathematik
89 Journal of the Mechanics and Physics of Solids
89 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
87 SIAM Journal on Scientific Computing
81 Archives of Computational Methods in Engineering
80 Computer Aided Geometric Design
75 Mathematics of Computation
64 International Journal of Computational Methods
62 International Journal of Computational Fluid Dynamics
58 Journal of Elasticity
57 SIAM Journal on Numerical Analysis
57 Numerical Methods for Partial Differential Equations
56 International Journal of Solids and Structures
49 Archive for Rational Mechanics and Analysis
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49 Journal of Fluid Mechanics
46 Engineering Computations
43 Physics of Fluids
37 Applied Mathematics and Mechanics. (English Edition)
37 Mathematical Problems in Engineering
37 Mathematics and Mechanics of Solids
37 Computational Geosciences
35 Meccanica
34 Journal of Mathematical Analysis and Applications
33 International Journal for Numerical and Analytical Methods in Geomechanics
33 Archive of Applied Mechanics
33 International Journal for Numerical Methods in Biomedical Engineering
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30 International Journal of Plasticity
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30 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
27 Mathematics and Computers in Simulation
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9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
9 Journal of Theoretical Biology
8 Mathematical Methods in the Applied Sciences
8 Journal of Geometry and Physics
8 Journal of Optimization Theory and Applications
8 Mechanics Research Communications
8 Journal of Systems Science and Complexity
8 Discrete and Continuous Dynamical Systems. Series S
...and 272 more Serials
all top 5

Cited in 53 Fields

5,150 Mechanics of deformable solids (74-XX)
4,758 Numerical analysis (65-XX)
3,591 Fluid mechanics (76-XX)
1,474 Partial differential equations (35-XX)
404 Biology and other natural sciences (92-XX)
272 Classical thermodynamics, heat transfer (80-XX)
194 Calculus of variations and optimal control; optimization (49-XX)
167 Mechanics of particles and systems (70-XX)
138 Statistical mechanics, structure of matter (82-XX)
138 Geophysics (86-XX)
136 Approximations and expansions (41-XX)
131 Optics, electromagnetic theory (78-XX)
94 Computer science (68-XX)
87 Ordinary differential equations (34-XX)
85 Differential geometry (53-XX)
55 Dynamical systems and ergodic theory (37-XX)
54 Operations research, mathematical programming (90-XX)
48 Systems theory; control (93-XX)
46 Linear and multilinear algebra; matrix theory (15-XX)
46 Operator theory (47-XX)
44 Global analysis, analysis on manifolds (58-XX)
44 Relativity and gravitational theory (83-XX)
39 Probability theory and stochastic processes (60-XX)
25 Statistics (62-XX)
24 Integral equations (45-XX)
23 Quantum theory (81-XX)
19 Potential theory (31-XX)
17 Functional analysis (46-XX)
16 Information and communication theory, circuits (94-XX)
12 Real functions (26-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 General and overarching topics; collections (00-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 History and biography (01-XX)
7 Combinatorics (05-XX)
7 Topological groups, Lie groups (22-XX)
6 Commutative algebra (13-XX)
6 Functions of a complex variable (30-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
1 Category theory; homological algebra (18-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)
1 Astronomy and astrophysics (85-XX)

Citations by Year

Wikidata Timeline

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