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Computer Methods in Applied Mechanics and Engineering

Short Title: Comput. Methods Appl. Mech. Eng.
Publisher: Elsevier (North-Holland), Amsterdam
ISSN: 0045-7825
Online: https://www.sciencedirect.com/journal/computer-methods-in-applied-mechanics-and-engineering/issues
Documents Indexed: 11,536 Publications (since 1972)
References Indexed: 11,409 Publications with 422,769 References.
all top 5

Authors

159 Hughes, Thomas J. R.
95 Liu, Wing Kam
88 Argyris, John Hadji
88 Oden, John Tinsley
77 Babuška, Ivo
75 Belytschko, Ted Bohdan
70 Rabczuk, Timon
69 Wriggers, Peter
68 Liew, Kim Meow
64 Demkowicz, Leszek F.
63 Tezduyar, Tayfun E.
55 Oñate Ibáñez de Navarra, Eugenio
49 Codina, Ramon
49 Papadrakakis, Manolis
45 Bazilevs, Yuri
44 Noor, Ahmed Khairy
43 Farhat, Charbel H.
42 Hansbo, Peter
41 Calo, Victor Manuel
41 Quarteroni, Alfio M.
41 Wall, Wolfgang A.
40 Karniadakis, George Em
39 Larson, Mats G.
39 Steinmann, Paul
38 Franca, Leopoldo Luis Cabo Penna
38 Ladevèze, Pierre
37 Reddy, Junuthula Narasimha
36 Bordas, Stéphane Pierre Alain
36 Reali, Alessandro
36 Simo, Juan Carlos
35 Liu, Gui-Rong
34 Borja, Ronaldo I.
34 Litvin, Faydor L.
34 Wheeler, Mary Fanett
33 Fish, Jacob
33 Gil, Antonio J.
32 de Lorenzis, Laura
32 Desmet, Wim
32 Taylor, Robert Leroy
31 Huerta, Antonio
31 Idelsohn, Sergio Rodolfo
31 Miehe, Christian
31 Nguyen-Xuan, Hung
31 Zohdi, Tarek I.
30 Burman, Erik
30 Ortiz, Michael
29 Carey, Graham Francis
29 Dawson, Clint N.
29 Guo, Xu
29 Ibrahimbegović, Adnan
29 Kiendl, Josef
29 Sigmund, Ole
28 Auricchio, Ferdinando
27 Rank, Ernst
27 Song, Chongmin
27 Tortorelli, Daniel A.
26 Bletzinger, Kai-Uwe
26 Harari, Isaac
26 Masud, Arif
26 Schillinger, Dominik
26 Stein, Erwin
26 Sun, WaiChing
25 Beirão da Veiga, Lourenço
25 Bonet, Javier
25 de Borst, René
25 Gunzburger, Max D.
25 Kang, Zhan
25 Kikuchi, Noboru
25 Loula, Abimael Fernando Dourado
25 Reese, Stefanie
25 Sangalli, Giancarlo
24 Badia, Santiago
24 Evans, John A.
24 Pardo, David
24 Shephard, Mark S.
24 Sluys, Lambertus Johannes
24 Wohlmuth, Barbara I.
24 Zhang, Lu-Wen
23 Ainsworth, Mark
23 Chen, Jiun-Shyan
23 Díez, Pedro
23 Givoli, Dan
23 Le Tallec, Patrick
23 Reddy, B. Dayanand
22 Gao, Liang
22 Li, Shaofan
22 Paulino, Glaucio H.
22 Scott, Michael A.
22 Strouboulis, Theofanis
22 Zhuang, Xiaoying
21 Brezzi, Franco
21 Hsu, Ming-Chen
21 Owen, D. Roger J.
21 Perić, Djordje
21 Rachowicz, Waldemar
20 Garikipati, Krishna
20 Gatica, Gabriel N.
20 Gravouil, Anthony
20 Hauke, Guillermo
20 Kleiber, Michal
...and 13,198 more Authors
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Fields

7,190 Mechanics of deformable solids (74-XX)
4,458 Numerical analysis (65-XX)
3,242 Fluid mechanics (76-XX)
758 Partial differential equations (35-XX)
400 Biology and other natural sciences (92-XX)
323 Classical thermodynamics, heat transfer (80-XX)
297 Mechanics of particles and systems (70-XX)
225 Optics, electromagnetic theory (78-XX)
222 Computer science (68-XX)
218 Calculus of variations and optimal control; optimization (49-XX)
206 Operations research, mathematical programming (90-XX)
204 Statistics (62-XX)
171 Statistical mechanics, structure of matter (82-XX)
152 Geophysics (86-XX)
113 Probability theory and stochastic processes (60-XX)
101 Systems theory; control (93-XX)
63 Approximations and expansions (41-XX)
59 General and overarching topics; collections (00-XX)
59 Ordinary differential equations (34-XX)
55 Integral equations (45-XX)
32 Quantum theory (81-XX)
30 Dynamical systems and ergodic theory (37-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
24 Differential geometry (53-XX)
22 Information and communication theory, circuits (94-XX)
15 History and biography (01-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Functions of a complex variable (30-XX)
13 Potential theory (31-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Combinatorics (05-XX)
9 Operator theory (47-XX)
8 Real functions (26-XX)
7 Convex and discrete geometry (52-XX)
4 Measure and integration (28-XX)
4 Difference and functional equations (39-XX)
4 Integral transforms, operational calculus (44-XX)
3 Functional analysis (46-XX)
3 Astronomy and astrophysics (85-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

9,730 Publications have been cited 151,379 times in 48,124 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 partition of unity finite element method: basic theory and applications. Zbl 0881.65099
Melenk, J. M.; Babuška, Ivo
893
1996
Meshless methods: An overview and recent developments. Zbl 0891.73075
Belytschko, T.; Krongauz, Y.; Organ, D.; Fleming, M.; Krysl, P.
865
1996
Homotopy perturbation technique. Zbl 0956.70017
He, Jihuan
788
1999
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.
763
1995
Generating optimal topologies in structural design using a homogenization method. Zbl 0671.73065
Bendsøe, Martin Philip; Kikuchi, Noboru
632
1988
The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525
Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste
583
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
582
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.
502
1989
The numerical computation of turbulent flows. Zbl 0277.76049
Launder, B. E.; Spalding, D. B.
492
1974
A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Zbl 0423.76070
Leonard, B. P.
469
1979
Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039
Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K.
446
1981
Approximate analytical solution for seepage flow with fractional derivatives in porous media. Zbl 0942.76077
He, Jihuan
437
1998
An overview of projection methods for incompressible flows. Zbl 1122.76072
Guermond, J. L.; Minev, P.; Shen, Jie
409
2006
Isogeometric analysis using T-splines. Zbl 1227.74123
Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W.
404
2010
A level set method for structural topology optimization. Zbl 1083.74573
Wang, Michael Yu; Wang, Xiaoming; Guo, Dongming
403
2003
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.
399
2007
Isogeometric analysis of structural vibrations. Zbl 1119.74024
Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R.
388
2006
An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems. Zbl 1035.65125
Hansbo, Anita; Hansbo, Peter
356
2002
A new strategy for finite element computations involving moving boundaries and interfaces — The deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests. Zbl 0745.76044
Tezduyar, T. E.; Behr, M.; Liou, J.
339
1992
Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Zbl 0756.76048
Tezduyar, T. E.; Mittal, S.; Ray, S. E.; Shih, R.
332
1992
Consistent tangent operators for rate-independent elastoplasticity. Zbl 0535.73025
Simo, J. C.; Taylor, R. L.
328
1985
The generalized finite element method. Zbl 0997.74069
Strouboulis, T.; Copps, K.; Babuška, I.
321
2001
An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Zbl 0508.73063
Donea, J.; Giuliani, S.; Halleux, J. P.
318
1982
Isogeometric shell analysis with Kirchhoff-Love elements. Zbl 1231.74422
Kiendl, J.; Bletzinger, K.-U.; Linhard, J.; Wüchner, R.
310
2009
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Zbl 1231.74022
Miehe, Christian; Hofacker, Martina; Welschinger, Fabian
299
2010
An \(h\)-\(p\) adaptive method using clouds. Zbl 0918.73328
Duarte, C. Armando; Oden, J. Tinsley
298
1996
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.
289
2012
A new strategy for finite element computations involving moving boundaries and interfaces — The deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Zbl 0745.76045
Tezduyar, T. E.; Behr, M.; Mittal, S.; Liou, J.
277
1992
Modeling holes and inclusions by level sets in the extended finite element method. Zbl 1029.74049
Sukumar, N.; Chopp, D. L.; Moës, N.; Belytschko, T.
275
2001
Computational methods in Lagrangian and Eulerian hydrocodes. Zbl 0763.73052
Benson, David J.
268
1992
Finite element methods for linear hyperbolic problems. Zbl 0526.76087
Johnson, Claes; Nävert, Uno; Pitkäranta, Juhani
266
1984
The design and analysis of the generalized finite element method. Zbl 0983.65127
Strouboulis, T.; Babuška, I.; Copps, K.
264
2000
Stabilized finite element methods. II: The incompressible Navier-Stokes equations. Zbl 0765.76048
Franca, Leopoldo P.; Frey, Sérgio L.
263
1992
Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407
Cottrell, J. A.; Hughes, T. J. R.; Reali, A.
257
2007
Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524
Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R.
252
2008
Added-mass effect in the design of partitioned algorithms for fluid–structure problems. Zbl 1101.74027
Causin, P.; Gerbeau, J. F.; Nobile, F.
249
2005
Smoothed particle hydrodynamics: Some recent improvements and applications. Zbl 0896.73075
Randles, P. W.; Libersky, L. D.
248
1996
Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040
Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R.
246
1992
Variational and projection methods for the volume constraint in finite deformation elasto-plasticity. Zbl 0554.73036
Simo, J. C.; Taylor, R. L.; Pister, K. S.
242
1985
Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075
Malkus, David S.; Hughes, Thomas J. R.
242
1978
A three-dimensional finite-strain rod model. II. Computational aspects. Zbl 0608.73070
Simo, J. C.; Vu-Quoc, L.
241
1986
\(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Zbl 0993.74062
Feyel, Frédéric; Chaboche, Jean-Louis
233
2000
A posteriori error estimation in finite element analysis. Zbl 0895.76040
Ainsworth, Mark; Oden, J. Tinsley
229
1997
Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Zbl 0918.73330
Chen, Jiun-Shyan; Pan, Chunhui; Wu, Cheng-Tang; Liu, Wing Kam
226
1996
Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107
Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R.
225
2010
Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029
Hughes, T. J. R.; Reali, A.; Sangalli, G.
225
2010
A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Zbl 1068.74076
Hansbo, Anita; Hansbo, Peter
220
2004
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
220
1973
A numerical method for computing the overall response of nonlinear composites with complex microstructure. Zbl 0954.74079
Moulinec, H.; Suquet, P.
220
1998
A mixed formulation for frictional contact problems prone to Newton like solution methods. Zbl 0825.76353
Alart, P.; Curnier, A.
219
1991
Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces. Zbl 0848.76036
Johnson, A. A.; Tezduyar, T. E.
216
1994
Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Zbl 0764.73089
Simo, J. C.
215
1992
A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method. Zbl 0973.76048
Jansen, Kenneth E.; Whiting, Christian H.; Hulbert, Gregory M.
214
2000
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
213
2005
A finite strain beam formulation. The three-dimensional dynamic problem. I. Zbl 0583.73037
Simo, J. C.
212
1985
A new implementation of the element free Galerkin method. Zbl 0847.73064
Lu, Y. Y.; Belytschko, T.; Gu, L.
207
1994
A discontinuous \(hp\) finite element method for convection-diffusion problems. Zbl 0924.76051
Baumann, Carlos Erik; Oden, J. Tinsley
205
1999
Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Zbl 0764.73088
Simo, J. C.; Miehe, C.
202
1992
Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations. Zbl 1025.76036
Shu, Chang; Ding, H.; Yeo, K. S.
201
2003
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
200
1986
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.
195
2012
Adaptive isogeometric analysis by local \(h\)-refinement with T-splines. Zbl 1227.74125
Dörfel, Michael R.; Jüttler, Bert; Simeon, Bernd
194
2010
Effective properties of composite materials with periodic microstructure: A computational approach. Zbl 0964.74054
Michel, J. C.; Moulinec, H.; Suquet, P.
194
1999
Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088
Liu, Wing Kam; Li, Shaofan; Belytschko, Ted
193
1997
On numerically accurate finite element solutions in the fully plastic range. Zbl 0284.73048
Nagtegaal, J. C.; Parks, D. M.; Rice, J. R.
193
1974
Stabilization of constraints and integrals of motion in dynamical systems. Zbl 0262.70017
Baumgarte, J.
191
1972
An efficient constraint handling method for genetic algorithms. Zbl 1028.90533
Deb, Kalyanmoy
191
2000
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.
190
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.
189
1984
Nodal integration of the element-free Galerkin method. Zbl 0918.73329
Beissel, Stephen; Belytschko, Ted
188
1996
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.
188
2002
A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074
Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira
186
1986
Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017
Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y.
186
2000
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.
186
1987
A fictitious domain method for Dirichlet problem and applications. Zbl 0845.73078
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques
185
1994
A hierarchical approach to adaptive local refinement in isogeometric analysis. Zbl 1239.65013
Vuong, A.-V.; Giannelli, Carlotta; Jüttler, Bert; Simeon, Bernd
182
2011
On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization. Zbl 0692.73062
Simo, J. C.; Fox, D. D.
180
1989
Immersed finite element method. Zbl 1067.76576
Zhang, Lucy; Gerstenberger, Axel; Wang, Xiaodong; Liu, Wing Kam
178
2004
Finite element stabilization parameters computed from element matrices and vectors. Zbl 0973.76057
Tezduyar, Tayfun E.; Osawa, Yasuo
178
2000
The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches. Zbl 1231.74482
Kiendl, J.; Bazilevs, Y.; Hsu, M.-C.; Wüchner, R.; Bletzinger, K.-U.
176
2010
Variational and momentum preservation aspects of smooth particle hydrodynamic formulations. Zbl 0962.76075
Bonet, J.; Lok, T.-S. L.
175
1999
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Zbl 1088.65002
Matthies, Hermann G.; Keese, Andreas
174
2005
Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063
Hughes, Thomas J. R.; Hulbert, Gregory M.
174
1988
The discontinuous enrichment method. Zbl 1002.76065
Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P.
172
2001
A relationship between stabilized finite element methods and the Galerkin method with bubble functions. Zbl 0756.76044
Brezzi, Franco; Bristeau, Marie-Odile; Franca, Leopoldo P.; Mallet, Michel; Rogé, Gilbert
169
1992
Stabilized finite element approximation of transient incompressible flows using orthogonal subscales. Zbl 1015.76045
Codina, Ramon
167
2002
A computational approach to handle complex microstructure geometries. Zbl 1054.74056
Moës, N.; Cloirec, M.; Cartraud, P.; Remacle, J.-F.
167
2003
Comparison of some finite element methods for solving the diffusion-convection-reaction equation. Zbl 0959.76040
Codina, Ramon
167
1998
Isogeometric structural shape optimization. Zbl 1194.74263
Wall, Wolfgang A.; Frenzel, Moritz A.; Cyron, Christian
167
2008
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.
165
2008
Approximate solution of nonlinear differential equations with convolution product nonlinearities. Zbl 0932.65143
He, Jihuan
164
1998
Topology optimization of nonlinear elastic structures and compliant mechanisms. Zbl 1014.74057
Bruns, Tyler E.; Tortorelli, Daniel A.
164
2001
Fluid-structure interaction with large structural displacements. Zbl 1001.74040
Le Tallec, P.; Mouro, J.
162
2001
Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Zbl 0737.73008
Guedes, José Miranda; Kikuchi, Noboru
161
1990
A bridging domain method for coupling continua with molecular dynamics. Zbl 1079.74509
Xiao, S. P.; Belytschko, T.
160
2004
A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Zbl 0863.73055
Babuška, Ivo; Ihlenburg, Frank; Paik, Ellen T.; Sauter, Stefan A.
160
1995
Imposing essential boundary conditions in mesh-free methods. Zbl 1060.74665
Fernández-Méndez, Sonia; Huerta, Antonio
158
2004
Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033
Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P.
157
1993
Artificial hummingbird algorithm: a new bio-inspired optimizer with its engineering applications. Zbl 07442769
Zhao, Weiguo; Wang, Liying; Mirjalili, Seyedali
4
2022
Three-dimensional numerical manifold formulation with continuous nodal gradients for dynamics of elasto-plastic porous media. Zbl 07442775
Wu, Wenan; Wan, Tao; Yang, Yongtao; Zheng, Hong
2
2022
Goal-oriented model reduction for parametrized time-dependent nonlinear partial differential equations. Zbl 07442777
Sleeman, Michael K.; Yano, Masayuki
2
2022
Local approximate Gaussian process regression for data-driven constitutive models: development and comparison with neural networks. Zbl 07442787
Fuhg, Jan N.; Marino, Michele; Bouklas, Nikolaos
2
2022
A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system. Zbl 07464507
Yang, Xiaofeng; He, Xiaoming
2
2022
3D-0D closed-loop model for the simulation of cardiac biventricular electromechanics. Zbl 07487697
Piersanti, Roberto; Regazzoni, Francesco; Salvador, Matteo; Corno, Antonio F.; Dede’, Luca; Vergara, Christian; Quarteroni, Alfio
2
2022
Gaussian process regression constrained by boundary value problems. Zbl 07442760
Gulian, M.; Frankel, A.; Swiler, L.
1
2022
Gradient jump penalty stabilisation of spectral/\( h p\) element discretisation for under-resolved turbulence simulations. Zbl 07442773
Moura, Rodrigo C.; Cassinelli, Andrea; da Silva, André F. C.; Burman, Erik; Sherwin, Spencer J.
1
2022
New insights into error accumulation due to biased particle distribution in semi-implicit particle methods. Zbl 07442789
Duan, Guangtao; Matsunaga, Takuya; Koshizuka, Seiichi; Yamaguchi, Akira; Sakai, Mikio
1
2022
Adaptation and validation of FFT methods for homogenization of lattice based materials. Zbl 07442792
Lucarini, S.; Cobian, L.; Voitus, A.; Segurado, J.
1
2022
A cut finite-element method for fracture and contact problems in large-deformation solid mechanics. Zbl 07442798
Poluektov, Michael; Figiel, Łukasz
1
2022
Modeling and a Robin-type decoupled finite element method for dual-porosity-Navier-Stokes system with application to flows around multistage fractured horizontal wellbore. Zbl 07442805
Hou, Jiangyong; Hu, Dan; He, Xiaoming; Qiu, Changxin
1
2022
Numerical manifold computational homogenization for hydro-dynamic analysis of discontinuous heterogeneous porous media. Zbl 07442806
Wu, Wenan; Yang, Yongtao; Zheng, Hong; Zhang, Limei; Zhang, Ning
1
2022
Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics. Zbl 07464478
Li, Jinze; Zhao, Rui; Yu, Kaiping; Li, Xiangyang
1
2022
An enhanced semi-implicit particle method for simulating the flow of droplets with free surfaces. Zbl 07464496
Duan, Guangtao; Sakai, Mikio
1
2022
A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex elastic solids using physics based numerical fluxes. Zbl 07464512
Duru, Kenneth; Rannabauer, Leonhard; Gabriel, Alice-Agnes; Ling, On Ki Angel; Igel, Heiner; Bader, Michael
1
2022
Second-order phase-field formulations for anisotropic brittle fracture. Zbl 07464520
Gerasimov, Tymofiy; De Lorenzis, Laura
1
2022
Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems. Zbl 07464528
Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas
1
2022
Efficient local adaptive Kriging approximation method with single-loop strategy for reliability-based design optimization. Zbl 07464747
Yang, Meide; Zhang, Dequan; Wang, Fang; Han, Xu
1
2022
Dwarf mongoose optimization algorithm. Zbl 07487685
Agushaka, Jeffrey O.; Ezugwu, Absalom E.; Abualigah, Laith
1
2022
A new Lagrange multiplier approach for constructing structure preserving schemes. I: Positivity preserving. Zbl 07487691
Cheng, Qing; Shen, Jie
1
2022
On the equivalence of Eulerian smoothed particle hydrodynamics, total Lagrangian smoothed particle hydrodynamics and molecular dynamics simulations for solids. Zbl 07487694
Islam, Md Rushdie Ibne; Ganesh, Kona Veera; Patra, Puneet Kumar
1
2022
A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model. Zbl 07337784
Yang, Xiaofeng
19
2021
Numerical approximations of the Navier-Stokes equation coupled with volume-conserved multi-phase-field vesicles system: fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme. Zbl 07340447
Yang, Xiaofeng
16
2021
hp-VPINNs: variational physics-informed neural networks with domain decomposition. Zbl 07338008
Kharazmi, Ehsan; Zhang, Zhongqiang; Karniadakis, George E. M.
15
2021
The arithmetic optimization algorithm. Zbl 07340412
Abualigah, Laith; Diabat, Ali; Mirjalili, Seyedali; Abd Elaziz, Mohamed; Gandomi, Amir H.
12
2021
A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics. Zbl 07340350
Haghighat, Ehsan; Raissi, Maziar; Moure, Adrian; Gomez, Hector; Juanes, Ruben
11
2021
A new efficient fully-decoupled and second-order time-accurate scheme for Cahn-Hilliard phase-field model of three-phase incompressible flow. Zbl 07340410
Yang, Xiaofeng
11
2021
Hierarchical deep learning neural network (HiDeNN): an artificial intelligence (AI) framework for computational science and engineering. Zbl 07337747
Saha, Sourav; Gan, Zhengtao; Cheng, Lin; Gao, Jiaying; Kafka, Orion L.; Xie, Xiaoyu; Li, Hengyang; Tajdari, Mahsa; Kim, H. Alicia; Liu, Wing Kam
10
2021
Smart constitutive laws: inelastic homogenization through machine learning. Zbl 07337765
Logarzo, Hernan J.; Capuano, German; Rimoli, Julian J.
10
2021
SciANN: a keras/tensorflow wrapper for scientific computations and physics-informed deep learning using artificial neural networks. Zbl 07337817
Haghighat, Ehsan; Juanes, Ruben
9
2021
Phase-field model of brittle fracture in Reissner-Mindlin plates and shells. Zbl 07337773
Kikis, G.; Ambati, M.; De Lorenzis, L.; Klinkel, S.
7
2021
Three-dimensional phase-field modeling of mode I + II/III failure in solids. Zbl 07337805
Wu, Jian-Ying; Huang, Yuli; Zhou, Hao; Nguyen, Vinh Phu
6
2021
Domain decomposition method for the fully-mixed Stokes-Darcy coupled problem. Zbl 07338023
Sun, Yizhong; Sun, Weiwei; Zheng, Haibiao
6
2021
RI-IGABEM based on PIM in transient heat conduction problems of FGMs. Zbl 07338032
Xu, Chuang; Dong, Chunying; Dai, Rui
6
2021
An efficient second order all Mach finite volume solver for the compressible Navier-Stokes equations. Zbl 07338033
Boscheri, Walter; Dimarco, Giacomo; Tavelli, Maurizio
6
2021
Model-free data-driven computational mechanics enhanced by tensor voting. Zbl 07337781
Eggersmann, Robert; Stainier, Laurent; Ortiz, Michael; Reese, Stefanie
6
2021
Interior-point methods for the phase-field approach to brittle and ductile fracture. Zbl 07340451
Wambacq, J.; Ulloa, J.; Lombaert, G.; François, S.
6
2021
An accelerated staggered scheme for variational phase-field models of brittle fracture. Zbl 07414349
Storvik, Erlend; Both, Jakub Wiktor; Sargado, Juan Michael; Nordbotten, Jan Martin; Radu, Florin Adrian
5
2021
An integrative smoothed particle hydrodynamics method for modeling cardiac function. Zbl 07414366
Zhang, Chi; Wang, Jianhang; Rezavand, Massoud; Wu, Dong; Hu, Xiangyu
5
2021
A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes. Zbl 07415056
Deng, Quanling; Calo, Victor M.
5
2021
On the eigenvector bias of Fourier feature networks: from regression to solving multi-scale PDEs with physics-informed neural networks. Zbl 07415245
Wang, Sifan; Wang, Hanwen; Perdikaris, Paris
5
2021
Non-conforming interface coupling and symmetric iterative solution in isogeometric FE-BE analysis. Zbl 07337821
Yang, H. S.; Dong, C. Y.; Wu, Y. H.
5
2021
Data-driven learning of nonlocal physics from high-fidelity synthetic data. Zbl 07338009
You, Huaiqian; Yu, Yue; Trask, Nathaniel; Gulian, Mamikon; D’Elia, Marta
5
2021
Variationally derived interface stabilization for discrete multiphase flows and relation with the ghost-penalty method. Zbl 07337737
Zhu, Lixing; Masud, Arif
5
2021
A thermodynamically consistent fractional visco-elasto-plastic model with memory-dependent damage for anomalous materials. Zbl 07337777
Suzuki, Jorge; Zhou, Yongtao; D’Elia, Marta; Zayernouri, Mohsen
5
2021
A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model. Zbl 07340372
Yang, Xiaofeng
5
2021
Double-phase-field formulation for mixed-mode fracture in rocks. Zbl 07340424
Fei, Fan; Choo, Jinhyun
5
2021
Non-invasive inference of thrombus material properties with physics-informed neural networks. Zbl 07340448
Yin, Minglang; Zheng, Xiaoning; Humphrey, Jay D.; Karniadakis, George Em
5
2021
A virtual element method for the miscible displacement of incompressible fluids in porous media. Zbl 07340464
Beirão da Veiga, L.; Pichler, A.; Vacca, G.
5
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.
4
2021
Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting. Zbl 07415030
Pazner, Will
4
2021
An FE-DMN method for the multiscale analysis of short fiber reinforced plastic components. Zbl 07415252
Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas
4
2021
Reduced quadrature for FEM, IGA and meshfree methods. Zbl 07337800
Moutsanidis, Georgios; Li, Weican; Bazilevs, Yuri
4
2021
A computational multi-scale model for the stiffness degradation of short-fiber reinforced plastics subjected to fatigue loading. Zbl 07337801
Köbler, Jonathan; Magino, Nicola; Andrä, Heiko; Welschinger, Fabian; Müller, Ralf; Schneider, Matti
4
2021
An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems. Zbl 07337804
Xie, Xiang; Liu, Yijun
4
2021
An efficient meshfree gradient smoothing collocation method (GSCM) using reproducing kernel approximation. Zbl 07338020
Qian, Zhihao; Wang, Lihua; Gu, Yan; Zhang, Chuanzeng
4
2021
Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations. Zbl 07337752
Piersanti, Roberto; Africa, Pasquale C.; Fedele, Marco; Vergara, Christian; Dedè, Luca; Corno, Antonio F.; Quarteroni, Alfio
4
2021
A physics-informed operator regression framework for extracting data-driven continuum models. Zbl 07337782
Patel, Ravi G.; Trask, Nathaniel A.; Wood, Mitchell A.; Cyr, Eric C.
4
2021
An oscillation-free fully staggered algorithm for velocity-dependent active models of cardiac mechanics. Zbl 07337788
Regazzoni, F.; Quarteroni, A.
4
2021
Deep learning of thermodynamics-aware reduced-order models from data. Zbl 07340366
Hernandez, Quercus; Badías, Alberto; González, David; Chinesta, Francisco; Cueto, Elías
4
2021
An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture. Zbl 07340387
Yu, Yue; You, Huaiqian; Trask, Nathaniel
4
2021
Sparse identification of nonlinear dynamical systems via reweighted \(\ell_1\)-regularized least squares. Zbl 07340413
Cortiella, Alexandre; Park, Kwang-Chun; Doostan, Alireza
4
2021
Computational homogenization of fully coupled multiphase flow in deformable porous media. Zbl 07340427
Khoei, A. R.; Saeedmonir, S.
4
2021
Multipatch isogeometric analysis for electrophysiology: simulation in a human heart. Zbl 07340433
Bucelli, Michele; Salvador, Matteo; Dede’, Luca; Quarteroni, Alfio
4
2021
Phase field modeling of frictional slip with slip weakening/strengthening under non-isothermal conditions. Zbl 07340441
Bryant, Eric C.; Sun, WaiChing
4
2021
Geometrically nonlinear multi-patch isogeometric analysis of spatial Euler-Bernoulli beam structures. Zbl 07414324
Vo, Duy; Nanakorn, Pruettha; Bui, Tinh Quoc
3
2021
A pressure-robust virtual element method for the Stokes problem. Zbl 07415033
Wang, Gang; Mu, Lin; Wang, Ying; He, Yinnian
3
2021
An efficient monolithic solution scheme for FE\(^2\) problems. Zbl 07415039
Lange, Nils; Hütter, Geralf; Kiefer, Björn
3
2021
Adaptive phase field method using novel physics based refinement criteria. Zbl 07415044
Hirshikesh, H.; Pramod, A. L. N.; Waisman, Haim; Natarajan, S.
3
2021
Solving inverse problems in stochastic models using deep neural networks and adversarial training. Zbl 07415268
Xu, Kailai; Darve, Eric
3
2021
A coupled 3D isogeometric/least-square MPS approach for modeling fluid-structure interactions. Zbl 07337806
Gao, Wei; Matsunaga, Takuya; Duan, Guangtao; Koshizuka, Seiichi
3
2021
An isogeometric boundary element method for 3D lifting flows using T-splines. Zbl 07337820
Chouliaras, S. P.; Kaklis, P. D.; Kostas, K. V.; Ginnis, A. I.; Politis, C. G.
3
2021
Nitsche’s method for linear Kirchhoff-Love shells: formulation, error analysis, and verification. Zbl 07338007
Benzaken, Joseph; Evans, John A.; McCormick, Stephen F.; Tamstorf, Rasmus
3
2021
Iterative surrogate model optimization (ISMO): an active learning algorithm for PDE constrained optimization with deep neural networks. Zbl 07338021
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep; Chandrashekar, Praveen
3
2021
A single Gauss point continuum finite element formulation for gradient-extended damage at large deformations. Zbl 07337741
Barfusz, Oliver; Brepols, Tim; van der Velden, Tim; Frischkorn, Jan; Reese, Stefanie
3
2021
An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: basic framework and general contact model. Zbl 07337749
Feng, Y. T.
3
2021
Data-driven variational multiscale reduced order models. Zbl 07337754
Mou, Changhong; Koc, Birgul; San, Omer; Rebholz, Leo G.; Iliescu, Traian
3
2021
Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation. Zbl 07337757
Ulloa, Jacinto; Wambacq, Jef; Alessi, Roberto; Degrande, Geert; François, Stijn
3
2021
A combined finite element-finite volume framework for phase-field fracture. Zbl 07337758
Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin
3
2021
Multi-fidelity deep neural network surrogate model for aerodynamic shape optimization. Zbl 07337768
Zhang, Xinshuai; Xie, Fangfang; Ji, Tingwei; Zhu, Zaoxu; Zheng, Yao
3
2021
Modelling contacts with a total Lagrangian material point method. Zbl 07337785
de Vaucorbeil, Alban; Nguyen, Vinh Phu
3
2021
Phase field modelling of fracture and fatigue in shape memory alloys. Zbl 07337786
Simoes, Marlini; Martínez-Pañeda, Emilio
3
2021
A first order hyperbolic framework for large strain computational solid dynamics. III: Thermo-elasticity. Zbl 07337787
Bonet, Javier; Lee, Chun Hean; Gil, Antonio J.; Ghavamian, Ataollah
3
2021
Discretizationnet: a machine-learning based solver for Navier-Stokes equations using finite volume discretization. Zbl 07340331
Ranade, Rishikesh; Hill, Chris; Pathak, Jay
3
2021
Higher-order generalized-\( \alpha\) methods for hyperbolic problems. Zbl 07340333
Behnoudfar, Pouria; Deng, Quanling; Calo, Victor M.
3
2021
An entropy-stable smooth particle hydrodynamics algorithm for large strain thermo-elasticity. Zbl 07340346
Ghavamian, Ataollah; Lee, Chun Hean; Gil, Antonio J.; Bonet, Javier; Heuzé, Thomas; Stainier, Laurent
3
2021
Isogeometric analysis for a phase-field constrained optimization problem of morphological evolution of vesicles in electrical fields. Zbl 07340377
Ashour, Mohammed; Valizadeh, Navid; Rabczuk, Timon
3
2021
Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm. Zbl 07340382
Rojas, Sergio; Pardo, David; Behnoudfar, Pouria; Calo, Victor M.
3
2021
Fracture of thermo-elastic solids: phase-field modeling and new results with an efficient monolithic solver. Zbl 07340419
Mandal, Tushar Kanti; Nguyen, Vinh Phu; Wu, Jian-Ying; Nguyen-Thanh, Chi; de Vaucorbeil, Alban
3
2021
Particle regeneration technique for smoothed particle hydrodynamics in simulation of compressible multiphase flows. Zbl 07340422
Peng, Yu-Xiang; Zhang, A-Man; Ming, Fu-Ren
3
2021
An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations. Zbl 07340428
DeCaria, Victor; Schneier, Michael
3
2021
Free vibration and transient dynamic response of functionally graded sandwich plates with power-law nonhomogeneity by the scaled boundary finite element method. Zbl 07340432
Liu, Jun; Hao, Congkuan; Ye, Wenbin; Yang, Fan; Lin, Gao
3
2021
A coupled contact heat transfer and thermal cracking model for discontinuous and granular media. Zbl 07340444
Yan, Chengzeng; Zheng, Yuchen; Huang, Duruo; Wang, Gang
3
2021
Quantification and compensation of thermal distortion in additive manufacturing: a computational statistics approach. Zbl 07340450
Wang, Chao; Li, Shaofan; Zeng, Danielle; Zhu, Xinhai
3
2021
An accuracy analysis of Galerkin meshfree methods accounting for numerical integration. Zbl 07340457
Wu, Junchao; Wang, Dongdong
3
2021
A comparative accuracy and convergence study of eigenerosion and phase-field models of fracture. Zbl 07427319
Pandolfi, A.; Weinberg, K.; Ortiz, M.
3
2021
PeriPy – a high performance peridynamics package. Zbl 07427326
Boys, B.; Dodwell, T. J.; Hobbs, M.; Girolami, M.
3
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
3
2021
An explicit representation of cracks in the variational phase field method for brittle fractures. Zbl 07427376
Yang, Liang; Yang, Yongtao; Zheng, Hong; Wu, Zhijun
3
2021
...and 1120 more Documents
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Cited by 45,433 Authors

210 Hughes, Thomas J. R.
195 Tezduyar, Tayfun E.
186 Dehghan Takht Fooladi, Mehdi
170 Liu, Gui-Rong
160 Wriggers, Peter
147 Liu, Wing Kam
145 Rabczuk, Timon
141 Belytschko, Ted Bohdan
133 Oñate Ibáñez de Navarra, Eugenio
133 Steinmann, Paul
120 Bazilevs, Yuri
119 Codina, Ramon
118 He, Yinnian
108 Liew, Kim Meow
107 Quarteroni, Alfio M.
106 Oden, John Tinsley
102 Demkowicz, Leszek F.
101 Wall, Wolfgang A.
100 Babuška, Ivo
95 Farhat, Charbel H.
95 Karniadakis, George Em
93 Burman, Erik
91 Takizawa, Kenji
89 Chung, Tsz Shun Eric
88 Beirão da Veiga, Lourenço
86 Gatica, Gabriel N.
82 Dumbser, Michael
82 Wheeler, Mary Fanett
81 Bordas, Stéphane Pierre Alain
80 Argyris, John Hadji
78 Miehe, Christian
78 Nguyen-Xuan, Hung
76 Calo, Victor Manuel
76 Huang, Yunqing
76 Huerta, Antonio
75 Carstensen, Carsten
75 Hansbo, Peter
75 Zhang, Chuanzeng
74 Li, Jichun
74 Shu, Chi-Wang
73 Idelsohn, Sergio Rodolfo
73 Larson, Mats G.
73 Ortiz, Michael
72 Ern, Alexandre
72 Fernández, Jose Ramon
70 Auricchio, Ferdinando
70 Reddy, Junuthula Narasimha
70 Yang, Xiaofeng
69 Feng, Xinlong
68 Wohlmuth, Barbara I.
67 de Borst, René
67 Schwab, Christoph
66 Gunzburger, Max D.
66 Li, Xiaolin
65 Fish, Jacob
65 Rozza, Gianluigi
63 Ibrahimbegović, Adnan
62 Chen, Jiun-Shyan
62 Papadrakakis, Manolis
62 Rebholz, Leo G.
59 Cockburn, Bernardo
59 Ladevèze, Pierre
59 Song, Chongmin
58 Reali, Alessandro
58 Sigmund, Ole
57 Carey, Graham Francis
57 Chinesta, Francisco
57 Du, Qiang
57 Givoli, Dan
57 Yıldırım, Ahmet
57 Zhang, Zhimin
56 Hsu, Ming-Chen
56 Rank, Ernst
56 Soize, Christian
56 Zohdi, Tarek I.
55 Düster, Alexander
55 Glowinski, Roland
55 Han, Weimin
55 Paulino, Glaucio H.
55 Wang, Hong
55 Zheng, Hong
54 Buffa, Annalisa
54 Ganji, Davood Domiri
54 Hou, Yanren
54 Stephan, Ernst Peter
53 Chen, Yanping
53 John, Volker
53 Löhner, Rainald
53 Mohanty, Ranjan Kumar
53 Ruiz-Baier, Ricardo
52 Badia, Santiago
52 Brenner, Susanne Cecelia
52 Efendiev, Yalchin R.
52 Harari, Isaac
52 Kim, Junseok
52 Reddy, B. Dayanand
52 Sangalli, Giancarlo
52 Sheu, Tony Wen-Hann
52 Sladek, Jan
52 Sladek, Vladimir
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934 Journal of Scientific Computing
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624 European Journal of Mechanics. A. Solids
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593 Acta Mechanica
540 SIAM Journal on Scientific Computing
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316 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
292 International Journal of Computer Mathematics
289 International Journal of Solids and Structures
288 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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92 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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63 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
57 Nonlinear Analysis. Real World Applications
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