×

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
Comments: Journal
Documents Indexed: 12,906 Publications (since 1972)
References Indexed: 12,770 Publications with 505,698 References.
all top 5

Authors

165 Hughes, Thomas J. R.
97 Liu, Wing Kam
90 Oden, John Tinsley
88 Argyris, John Hadji
84 Rabczuk, Timon
79 Babuška, Ivo
76 Liew, Kim Meow
76 Wriggers, Peter
75 Belytschko, Ted Bohdan
64 Tezduyar, Tayfun E.
62 Demkowicz, Leszek F.
60 Oñate Ibáñez de Navarra, Eugenio
54 Codina, Ramon
52 Papadrakakis, Manolis
49 Karniadakis, George Em
47 Bazilevs, Yuri
47 Farhat, Charbel H.
46 Larson, Mats G.
45 Calo, Victor Manuel
45 Hansbo, Peter
45 Steinmann, Paul
44 Noor, Ahmed Khairy
44 Quarteroni, Alfio M.
44 Wall, Wolfgang A.
43 Bordas, Stéphane Pierre Alain
42 Reali, Alessandro
41 de Lorenzis, Laura
41 Ladevèze, Pierre
40 Reddy, Junuthula Narasimha
40 Zohdi, Tarek I.
39 Fish, Jacob
38 Franca, Leopoldo Luis Cabo Penna
37 Liu, Gui-Rong
37 Zhang, Yongjie Jessica
36 Gil, Antonio J.
36 Simo, Juan Carlos
35 Desmet, Wim
35 Guo, Xu
35 Ortiz, Michael
35 Sigmund, Ole
35 Sun, WaiChing
35 Wheeler, Mary Fanett
34 Borja, Ronaldo I.
34 Idelsohn, Sergio Rodolfo
34 Kiendl, Josef
34 Litvin, Faydor L.
34 Park, Kwang-Chun
33 Song, Chongmin
32 Burman, Erik
32 Dawson, Clint N.
32 Taylor, Robert Leroy
31 Huerta, Antonio
31 Ibrahimbegović, Adnan
31 Miehe, Christian
31 Nguyen-Xuan, Hung
31 Schillinger, Dominik
31 Tortorelli, Daniel A.
30 Pardo, David
30 Rank, Ernst
30 Zhang, Lu-Wen
29 Auricchio, Ferdinando
29 Bletzinger, Kai-Uwe
29 Carey, Graham Francis
29 Evans, John A.
29 Gao, Liang
28 Li, Shaofan
28 Sangalli, Giancarlo
27 Beirão da Veiga, Lourenço
27 Harari, Isaac
27 Masud, Arif
27 Reddy, B. Dayanand
27 Reese, Stefanie
27 Wohlmuth, Barbara I.
27 Zhuang, Xiaoying
26 Chen, Jiun-Shyan
26 Gunzburger, Max D.
26 Kang, Zhan
26 Stein, Erwin
25 Ainsworth, Mark
25 Badia, Santiago
25 Bonet, Javier
25 de Borst, René
25 Han, Xu
25 Kikuchi, Noboru
25 Loula, Abimael Fernando Dourado
25 Scott, Michael A.
25 Scovazzi, Guglielmo
25 Zhang, Weihong
24 Ghanem, Roger G.
24 Gómez, Héctor J.
24 Le Tallec, Patrick
24 Oberai, Assad A.
24 Ortigosa, Rogelio
24 Shephard, Mark S.
24 Sluys, Lambertus Johannes
24 Van Brummelen, Harald
23 Buffa, Annalisa
23 Díez, Pedro
23 Givoli, Dan
23 Hsu, Ming-Chen
...and 15,400 more Authors
all top 5

Fields

8,005 Mechanics of deformable solids (74-XX)
5,168 Numerical analysis (65-XX)
3,402 Fluid mechanics (76-XX)
773 Partial differential equations (35-XX)
478 Biology and other natural sciences (92-XX)
315 Computer science (68-XX)
311 Mechanics of particles and systems (70-XX)
309 Classical thermodynamics, heat transfer (80-XX)
277 Statistics (62-XX)
231 Operations research, mathematical programming (90-XX)
227 Optics, electromagnetic theory (78-XX)
226 Calculus of variations and optimal control; optimization (49-XX)
162 Statistical mechanics, structure of matter (82-XX)
157 Geophysics (86-XX)
149 Probability theory and stochastic processes (60-XX)
98 Systems theory; control (93-XX)
60 Ordinary differential equations (34-XX)
59 General and overarching topics; collections (00-XX)
59 Approximations and expansions (41-XX)
58 Integral equations (45-XX)
48 Quantum theory (81-XX)
35 Dynamical systems and ergodic theory (37-XX)
29 Differential geometry (53-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
22 Information and communication theory, circuits (94-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 History and biography (01-XX)
16 Global analysis, analysis on manifolds (58-XX)
13 Functions of a complex variable (30-XX)
13 Potential theory (31-XX)
11 Operator theory (47-XX)
9 Combinatorics (05-XX)
9 Real functions (26-XX)
7 Convex and discrete geometry (52-XX)
4 Difference and functional equations (39-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Integral transforms, operational calculus (44-XX)
4 Functional analysis (46-XX)
4 Astronomy and astrophysics (85-XX)
3 Measure and integration (28-XX)
3 Special functions (33-XX)
2 Algebraic geometry (14-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

11,198 Publications have been cited 207,662 times in 60,752 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
1996
Homotopy perturbation technique. Zbl 0956.70017
He, Jihuan
978
1999
Meshless methods: An overview and recent developments. Zbl 0891.73075
Belytschko, T.; Krongauz, Y.; Organ, D.; Fleming, M.; Krysl, P.
958
1996
Generating optimal topologies in structural design using a homogenization method. Zbl 0671.73065
Bendsøe, Martin Philip; Kikuchi, Noboru
893
1988
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.
885
1995
The variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525
Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste
727
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
655
1986
A level set method for structural topology optimization. Zbl 1083.74573
Wang, Michael Yu; Wang, Xiaoming; Guo, Dongming
590
2003
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.
590
1989
An overview of projection methods for incompressible flows. Zbl 1122.76072
Guermond, J. L.; Minev, P.; Shen, Jie
566
2006
Approximate analytical solution for seepage flow with fractional derivatives in porous media. Zbl 0942.76077
He, Jihuan
551
1998
The numerical computation of turbulent flows. Zbl 0277.76049
Launder, B. E.; Spalding, D. B.
536
1974
A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Zbl 0423.76070
Leonard, B. P.
521
1979
Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039
Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K.
515
1981
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
515
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.
496
2007
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.
491
2010
Isogeometric analysis of structural vibrations. Zbl 1119.74024
Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R.
489
2006
An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems. Zbl 1035.65125
Hansbo, Anita; Hansbo, Peter
488
2002
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.
446
2012
Isogeometric shell analysis with Kirchhoff-Love elements. Zbl 1231.74422
Kiendl, J.; Bletzinger, K.-U.; Linhard, J.; Wüchner, R.
413
2009
The generalized finite element method. Zbl 0997.74069
Strouboulis, T.; Copps, K.; Babuška, I.
377
2001
Consistent tangent operators for rate-independent elastoplasticity. Zbl 0535.73025
Simo, J. C.; Taylor, R. L.
372
1985
An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Zbl 0508.73063
Donea, J.; Giuliani, S.; Halleux, J. P.
366
1982
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.
364
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.
358
1992
An \(h\)-\(p\) adaptive method using clouds. Zbl 0918.73328
Duarte, C. Armando; Oden, J. Tinsley
342
1996
Computational methods in Lagrangian and Eulerian hydrocodes. Zbl 0763.73052
Benson, David J.
321
1992
The design and analysis of the generalized finite element method. Zbl 0983.65127
Strouboulis, T.; Babuška, I.; Copps, K.
320
2000
Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524
Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R.
319
2008
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.
319
2001
Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407
Cottrell, J. A.; Hughes, T. J. R.; Reali, A.
312
2007
A numerical method for computing the overall response of nonlinear composites with complex microstructure. Zbl 0954.74079
Moulinec, H.; Suquet, P.
310
1998
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
306
1996
Smoothed particle hydrodynamics: Some recent improvements and applications. Zbl 0896.73075
Randles, P. W.; Libersky, L. D.
305
1996
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.
302
1992
Finite element methods for linear hyperbolic problems. Zbl 0526.76087
Johnson, Claes; Nävert, Uno; Pitkäranta, Juhani
302
1984
\(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Zbl 0993.74062
Feyel, Frédéric; Chaboche, Jean-Louis
301
2000
A three-dimensional finite-strain rod model. II. Computational aspects. Zbl 0608.73070
Simo, J. C.; Vu-Quoc, L.
301
1986
Added-mass effect in the design of partitioned algorithms for fluid–structure problems. Zbl 1101.74027
Causin, P.; Gerbeau, J. F.; Nobile, F.
297
2005
Stabilized finite element methods. II: The incompressible Navier-Stokes equations. Zbl 0765.76048
Franca, Leopoldo P.; Frey, Sérgio L.
294
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.
288
1985
Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075
Malkus, David S.; Hughes, Thomas J. R.
286
1978
A posteriori error estimation in finite element analysis. Zbl 0895.76040
Ainsworth, Mark; Oden, J. Tinsley
281
1997
Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107
Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R.
277
2010
A finite strain beam formulation. The three-dimensional dynamic problem. I. Zbl 0583.73037
Simo, J. C.
272
1985
Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040
Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R.
271
1992
A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Zbl 1068.74076
Hansbo, Anita; Hansbo, Peter
271
2004
Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029
Hughes, T. J. R.; Reali, A.; Sangalli, G.
267
2010
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.
262
2000
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
258
2005
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
251
1973
A mixed formulation for frictional contact problems prone to Newton like solution methods. Zbl 0825.76353
Alart, P.; Curnier, A.
250
1991
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.
250
2012
Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Zbl 0764.73089
Simo, J. C.
247
1992
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.
240
1994
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.
236
2003
A discontinuous \(hp\) finite element method for convection-diffusion problems. Zbl 0924.76051
Baumann, Carlos Erik; Oden, J. Tinsley
234
1999
Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Zbl 0764.73088
Simo, J. C.; Miehe, C.
233
1992
A new implementation of the element free Galerkin method. Zbl 0847.73064
Lu, Y. Y.; Belytschko, T.; Gu, L.
233
1994
A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074
Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira
233
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.
231
2002
An efficient constraint handling method for genetic algorithms. Zbl 1028.90533
Deb, Kalyanmoy
231
2000
Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017
Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y.
230
2000
Effective properties of composite materials with periodic microstructure: A computational approach. Zbl 0964.74054
Michel, J. C.; Moulinec, H.; Suquet, P.
229
1999
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.
228
1986
A hierarchical approach to adaptive local refinement in isogeometric analysis. Zbl 1239.65013
Vuong, A.-V.; Giannelli, Carlotta; Jüttler, Bert; Simeon, Bernd
227
2011
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.
224
2010
A fictitious domain method for Dirichlet problem and applications. Zbl 0845.73078
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques
223
1994
Variational and momentum preservation aspects of smooth particle hydrodynamic formulations. Zbl 0962.76075
Bonet, J.; Lok, T.-S. L.
222
1999
Nodal integration of the element-free Galerkin method. Zbl 0918.73329
Beissel, Stephen; Belytschko, Ted
221
1996
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Zbl 1088.65002
Matthies, Hermann G.; Keese, Andreas
221
2005
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
221
1986
Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088
Liu, Wing Kam; Li, Shaofan; Belytschko, Ted
220
1997
Virtual element methods for plate bending problems. Zbl 1297.74049
Brezzi, Franco; Marini, L. Donatella
220
2013
Topology optimization of nonlinear elastic structures and compliant mechanisms. Zbl 1014.74057
Bruns, Tyler E.; Tortorelli, Daniel A.
218
2001
Stabilization of constraints and integrals of motion in dynamical systems. Zbl 0262.70017
Baumgarte, J.
218
1972
Adaptive isogeometric analysis by local \(h\)-refinement with T-splines. Zbl 1227.74125
Dörfel, Michael R.; Jüttler, Bert; Simeon, Bernd
216
2010
On numerically accurate finite element solutions in the fully plastic range. Zbl 0284.73048
Nagtegaal, J. C.; Parks, D. M.; Rice, J. R.
215
1974
Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063
Hughes, Thomas J. R.; Hulbert, Gregory M.
213
1988
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.
212
1984
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.
211
2008
Immersed finite element method. Zbl 1067.76576
Zhang, Lucy; Gerstenberger, Axel; Wang, Xiaodong; Liu, Wing Kam
210
2004
A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. Zbl 0635.76067
Hughes, Thomas J. R.; Franca, Leopoldo P.
210
1987
A particle method for history-dependent materials. Zbl 0851.73078
Sulsky, D.; Chen, Z.; Schreyer, H. L.
210
1994
On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization. Zbl 0692.73062
Simo, J. C.; Fox, D. D.
207
1989
Finite element stabilization parameters computed from element matrices and vectors. Zbl 0973.76057
Tezduyar, Tayfun E.; Osawa, Yasuo
206
2000
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.
206
2015
Approximate solution of nonlinear differential equations with convolution product nonlinearities. Zbl 0932.65143
He, Jihuan
204
1998
On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes. Zbl 1423.74095
Gain, Arun L.; Talischi, Cameron; Paulino, Glaucio H.
203
2014
The finite cell method for three-dimensional problems of solid mechanics. Zbl 1194.74517
Düster, A.; Parvizian, J.; Yang, Z.; Rank, E.
201
2008
Stabilized finite element approximation of transient incompressible flows using orthogonal subscales. Zbl 1015.76045
Codina, Ramon
200
2002
The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics. Zbl 0897.73069
Song, Chongmin; Wolf, John P.
199
1997
A computational approach to handle complex microstructure geometries. Zbl 1054.74056
Moës, N.; Cloirec, M.; Cartraud, P.; Remacle, J.-F.
199
2003
A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876
Di Pietro, Daniele A.; Ern, Alexandre
198
2015
Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Zbl 0737.73008
Guedes, José Miranda; Kikuchi, Noboru
197
1990
Isogeometric structural shape optimization. Zbl 1194.74263
Wall, Wolfgang A.; Frenzel, Moritz A.; Cyron, Christian
194
2008
Imposing essential boundary conditions in mesh-free methods. Zbl 1060.74665
Fernández-Méndez, Sonia; Huerta, Antonio
192
2004
Respecting causality for training physics-informed neural networks. Zbl 07824900
Wang, Sifan; Sankaran, Shyam; Perdikaris, Paris
1
2024
Discovering a reaction-diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression. Zbl 07796670
Zhang, Zhen; Zou, Zongren; Kuhl, Ellen; Karniadakis, George Em
1
2024
A level set reliability-based topology optimization (LS-RBTO) method considering sensitivity mapping and multi-source interval uncertainties. Zbl 07796648
Li, Zeshang; Wang, Lei; Xinyu, Geng
1
2024
A high order geometry conforming immersed finite element for elliptic interface problems. Zbl 07820248
Adjerid, Slimane; Lin, Tao; Meghaichi, Haroun
1
2024
Whole-heart modelling with valves in a fluid-structure interaction framework. Zbl 07820268
Feng, Liuyang; Gao, Hao; Luo, Xiaoyu
1
2024
Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface. Zbl 07822128
Nie, Yinghao; Li, Zheng; Gong, Xiuchen; Cheng, Gengdong
1
2024
Capturing the diffusive behavior of the multiscale linear transport equations by asymptotic-preserving convolutional deeponets. Zbl 07822164
Wu, Keke; Yan, Xiong-Bin; Jin, Shi; Ma, Zheng
1
2024
A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks. Zbl 07644158
Wu, Chenxi; Zhu, Min; Tan, Qinyang; Kartha, Yadhu; Lu, Lu
24
2023
A new family of constitutive artificial neural networks towards automated model discovery. Zbl 07644192
Linka, Kevin; Kuhl, Ellen
16
2023
A comprehensive and biophysically detailed computational model of the whole human heart electromechanics. Zbl 07737566
Fedele, Marco; Piersanti, Roberto; Regazzoni, Francesco; Salvador, Matteo; Africa, Pasquale Claudio; Bucelli, Michele; Zingaro, Alberto; Dede’, Luca; Quarteroni, Alfio
15
2023
Automated discovery of generalized standard material models with EUCLID. Zbl 07653067
Flaschel, Moritz; Kumar, Siddhant; De Lorenzis, Laura
13
2023
Modular machine learning-based elastoplasticity: generalization in the context of limited data. Zbl 07665587
Fuhg, Jan Niklas; Hamel, Craig M.; Johnson, Kyle; Jones, Reese; Bouklas, Nikolaos
12
2023
Almost-\(C^1\) splines: biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems. Zbl 07644150
Takacs, Thomas; Toshniwal, Deepesh
9
2023
Kolmogorov n-width and Lagrangian physics-informed neural networks: a causality-conforming manifold for convection-dominated PDEs. Zbl 07644864
Mojgani, Rambod; Balajewicz, Maciej; Hassanzadeh, Pedram
8
2023
Operator inference for non-intrusive model reduction with quadratic manifolds. Zbl 07644207
Geelen, Rudy; Wright, Stephen; Willcox, Karen
8
2023
Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems. Zbl 07644856
Tripura, Tapas; Chakraborty, Souvik
8
2023
A new particle shifting technique for SPH methods based on Voronoi diagram and volume compensation. Zbl 07644861
Gao, Tianrun; Fu, Lin
8
2023
Virtual element method for phase field modeling of dynamic fracture. Zbl 07692952
Liu, Tong-Rui; Aldakheel, Fadi; Aliabadi, M. H.
7
2023
Young’s double-slit experiment optimizer: a novel metaheuristic optimization algorithm for global and constraint optimization problems. Zbl 07644153
Abdel-Basset, Mohamed; El-Shahat, Doaa; Jameel, Mohammed; Abouhawwash, Mohamed
7
2023
MCSA: multi-strategy boosted chameleon-inspired optimization algorithm for engineering applications. Zbl 07644161
Hu, Gang; Yang, Rui; Qin, Xinqiang; Wei, Guo
7
2023
Modeling via peridynamics for large deformation and progressive fracture of hyperelastic materials. Zbl 07644196
Yin, B. B.; Sun, W. K.; Zhang, Yang; Liew, K. M.
7
2023
Stabilization-free serendipity virtual element method for plane elasticity. Zbl 07644857
Chen, Alvin; Sukumar, N.
7
2023
PI-VAE: physics-informed variational auto-encoder for stochastic differential equations. Zbl 07644157
Zhong, Weiheng; Meidani, Hadi
6
2023
DTCSMO: an efficient hybrid starling murmuration optimizer for engineering applications. Zbl 07653077
Hu, Gang; Zhong, Jingyu; Wei, Guo; Chang, Ching-Ter
6
2023
Isogeometric analysis with \(C^1\)-smooth functions over multi-patch surfaces. Zbl 07644173
Farahat, Andrea; Jüttler, Bert; Kapl, Mario; Takacs, Thomas
6
2023
Integrated finite element neural network (I-FENN) for non-local continuum damage mechanics. Zbl 07644839
Pantidis, Panos; Mobasher, Mostafa E.
6
2023
An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. Zbl 07644843
Adjerid, Slimane; Babuška, Ivo; Guo, Ruchi; Lin, Tao
6
2023
Immersed boundary parametrizations for full waveform inversion. Zbl 07658098
Bürchner, Tim; Kopp, Philipp; Kollmannsberger, Stefan; Rank, Ernst
6
2023
Preconditioned numerical manifold method for linear elastic fractures. Zbl 07658111
Liu, Zhijun; Jiang, Yao; Yang, Han; Cai, Zhen; Tong, Yuxin; Zhang, Fanyu
6
2023
Multi-patch isogeometric topology optimization for cellular structures with flexible designs using Nitsche’s method. Zbl 07737596
Gao, Jie; Wu, Xiaomeng; Xiao, Mi; Nguyen, Vinh Phu; Gao, Liang; Rabczuk, Timon
5
2023
Multi-fidelity cost-aware Bayesian optimization. Zbl 07665593
Foumani, Zahra Zanjani; Shishehbor, Mehdi; Yousefpour, Amin; Bostanabad, Ramin
5
2023
Peridynamic elastic waves in two-dimensional unbounded domains: construction of nonlocal Dirichlet-type absorbing boundary conditions. Zbl 07665599
Shojaei, Arman; Hermann, Alexander; Seleson, Pablo; Silling, Stewart A.; Rabczuk, Timon; Cyron, Christian J.
5
2023
Stress-based topology optimization of thermoelastic structures considering self-support constraints. Zbl 07665606
Zheng, Jing; Zhang, Gongteng; Jiang, Chao
5
2023
Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout. Zbl 07665609
Wen, Zuowei; Faruque, Md. Sadman; Li, Xin; Wei, Xiaodong; Casquero, Hugo
5
2023
Multi-fidelity surrogate modeling using long short-term memory networks. Zbl 07644865
Conti, Paolo; Guo, Mengwu; Manzoni, Andrea; Hesthaven, Jan S.
5
2023
Physics-informed regularization and structure preservation for learning stable reduced models from data with operator inference. Zbl 07644880
Sawant, Nihar; Kramer, Boris; Peherstorfer, Benjamin
5
2023
Multiscale, multiphysics modeling of saturated granular materials in large deformation. Zbl 07653071
Liang, Weijian; Zhao, Jidong; Wu, Huanran; Soga, Kenichi
5
2023
Stabilized and variationally consistent integrated meshfree formulation for advection-dominated problems. Zbl 07644165
Huang, Tsung-Hui
5
2023
Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes. Zbl 07644844
Fu, Jinlong; Xiao, Dunhui; Fu, Rui; Li, Chenfeng; Zhu, Chuanhua; Arcucci, Rossella; Navon, Ionel M.
5
2023
Stabilized Lagrange interpolation collocation method: a meshfree method incorporating the advantages of finite element method. Zbl 07644853
Wang, Lihua; Hu, Minghao; Zhong, Zheng; Yang, Fan
5
2023
Immersed isogeometric analysis based on a hybrid collocation/finite cell method. Zbl 07653057
Torre, Michele; Morganti, Simone; Pasqualini, Francesco S.; Düster, Alexander; Reali, Alessandro
5
2023
Crack growth in homogeneous media using an adaptive isogeometric fourth-order phase-field model. Zbl 07697915
Li, Yicong; Yu, Tiantang; Xing, Chen; Natarajan, Sundararajan
4
2023
Automated model discovery for skin: discovering the best model, data, and experiment. Zbl 07737578
Linka, Kevin; Buganza Tepole, Adrian; Holzapfel, Gerhard A.; Kuhl, Ellen
4
2023
An isogeometric design-analysis-optimization workflow of stiffened thin-walled structures via multilevel NURBS-based free-form deformations (MNFFD). Zbl 07665602
Hao, Peng; Wang, Yu; Jin, Lingzhi; Ma, Shuhao; Wang, Bo
4
2023
Isogeometric analysis for multi-patch structured Kirchhoff-Love shells. Zbl 07692960
Farahat, Andrea; Verhelst, Hugo M.; Kiendl, Josef; Kapl, Mario
4
2023
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics. Zbl 07692979
Stoter, Stein K. F.; Divi, Sai C.; van Brummelen, E. Harald; Larson, Mats G.; de Prenter, Frits; Verhoosel, Clemens V.
4
2023
A mixed polygonal finite element formulation for nearly-incompressible finite elasticity. Zbl 07644154
Sauren, Bjorn; Klarmann, Simon; Kobbelt, Leif; Klinkel, Sven
4
2023
Taylor particle-in-cell transfer and kernel correction for material point method. Zbl 07644182
Nakamura, Keita; Matsumura, Satoshi; Mizutani, Takaaki
4
2023
Coupled resonance of FGM nanotubes transporting super-critical high-speed pulsatile flow under forced vibration: size-dependence and bifurcation topology. Zbl 07644879
Jin, Qiduo; Ren, Yiru
4
2023
Model-free data-driven inference in computational mechanics. Zbl 07644171
Prume, E.; Reese, S.; Ortiz, M.
4
2023
Nonlinear field-split preconditioners for solving monolithic phase-field models of brittle fracture. Zbl 07644202
Kopaničáková, Alena; Kothari, Hardik; Krause, Rolf
4
2023
A new lattice Boltzmann scheme for linear elastic solids: periodic problems. Zbl 07644835
Boolakee, Oliver; Geier, Martin; De Lorenzis, Laura
4
2023
Geometric learning for computational mechanics. II: Graph embedding for interpretable multiscale plasticity. Zbl 07644841
Vlassis, Nikolaos N.; Sun, WaiChing
4
2023
An accuracy analysis framework for meshfree collocation methods with particular emphasis on boundary effects. Zbl 07644855
Deng, Like; Wang, Dongdong
4
2023
A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity. Zbl 07644859
Iollo, Angelo; Sambataro, Giulia; Taddei, Tommaso
4
2023
A deep double Ritz method (\(\mathrm{D^2RM}\)) for solving partial differential equations using neural networks. Zbl 07653080
Uriarte, Carlos; Pardo, David; Muga, Ignacio; Muñoz-Matute, Judit
4
2023
Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach. Zbl 07658094
Li, Weidong; Ambati, Marreddy; Nguyen-Thanh, Nhon; Du, Hejun; Zhou, Kun
4
2023
Adaptive goal-oriented data sampling in data-driven computational mechanics. Zbl 07682845
Gorgogianni, Anna; Karapiperis, Konstantinos; Stainier, Laurent; Ortiz, Michael; Andrade, José E.
3
2023
Mixed and Nitsche’s discretizations of Coulomb frictional contact-mechanics for mixed dimensional poromechanical models. Zbl 07697917
Beaude, L.; Chouly, F.; Laaziri, M.; Masson, R.
3
2023
A coupling approach of the isogeometric-meshfree method and peridynamics for static and dynamic crack propagation. Zbl 07737561
Zhang, Qi; Nguyen-Thanh, Nhon; Li, Weidong; Zhang, A-Man; Li, Shaofan; Zhou, Kun
3
2023
Phase-field modeling of drying-induced cracks: choice of coupling and study of homogeneous and localized damage. Zbl 07737564
Luo, Chenyi; Sanavia, Lorenzo; De Lorenzis, Laura
3
2023
Simple and efficient GPU accelerated topology optimisation: codes and applications. Zbl 07737600
Träff, Erik A.; Rydahl, Anton; Karlsson, Sven; Sigmund, Ole; Aage, Niels
3
2023
Advanced discretization techniques for hyperelastic physics-augmented neural networks. Zbl 07761315
Franke, Marlon; Klein, Dominik K.; Weeger, Oliver; Betsch, Peter
3
2023
Topology optimization of multiscale structures considering local and global buckling response. Zbl 07665612
Christensen, Christoffer Fyllgraf; Wang, Fengwen; Sigmund, Ole
3
2023
Reliable extrapolation of deep neural operators informed by physics or sparse observations. Zbl 07692973
Zhu, Min; Zhang, Handi; Jiao, Anran; Karniadakis, George Em; Lu, Lu
3
2023
A novel hybrid adaptive kriging and water cycle algorithm for reliability-based design and optimization strategy: application in offshore wind turbine monopile. Zbl 07692987
Meng, Debiao; Yang, Shiyuan; De Jesus, Abílio M. P.; Fazeres-Ferradosa, Tiago; Zhu, Shun-Peng
3
2023
Concurrent multi-scale modeling of granular materials: role of coarse-graining in FEM-DEM coupling. Zbl 1527.74073
Cheng, Hongyang; Thornton, Anthony R.; Luding, Stefan; Hazel, Andrew L.; Weinhart, Thomas
3
2023
Coupling of an atomistic model and bond-based peridynamic model using an extended Arlequin framework. Zbl 07644156
Zhang, Jieqiong; Han, Fei; Yang, Zihao; Cui, Junzhi
3
2023
A polyconvex transversely-isotropic invariant-based formulation for electro-mechanics: stability, minimisers and computational implementation. Zbl 07644163
Horák, Martin; Gil, Antonio J.; Ortigosa, Rogelio; Kružík, Martin
3
2023
A reconstructed discontinuous approximation on unfitted meshes to \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) interface problems. Zbl 07644185
Li, Ruo; Liu, Qicheng; Yang, Fanyi
3
2023
An efficient and high-fidelity local multi-mesh finite volume method for heat transfer and fluid flow problems in metal additive manufacturing. Zbl 07644873
Li, Ming-Jian; Chen, Jiawei; Lian, Yanping; Xiong, Feiyu; Fang, Daining
3
2023
A credible interval analysis method for uncertain structures under nonprobabilistic framework. Zbl 07644878
Gong, Jinglei; Wang, Xiaojun; Lv, Tangqi
3
2023
An improved stabilized peridynamic correspondence material model for the crack propagation of nearly incompressible hyperelastic materials. Zbl 07644882
Li, Chengxuan; Zhang, Hanbo; Ye, Hongfei; Zhang, Hongwu; Zheng, Yonggang
3
2023
A level set driven concurrent reliability-based topology optimization (LS-CRBTO) strategy considering hybrid uncertainty inputs and damage defects updating. Zbl 1516.74086
Li, Zeshang; Wang, Lei; Lv, Tangqi
3
2023
A double-phase field method for mixed mode crack modelling in 3D elasto-plastic solids with crack-direction-based strain energy decomposition. Zbl 07653078
Jiang, Yang; Li, Cunyi; Wu, Chi; Rabczuk, Timon; Fang, Jianguang
3
2023
Extension operators for trimmed spline spaces. Zbl 07644174
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl
3
2023
SVD perspectives for augmenting DeepONet flexibility and interpretability. Zbl 07644181
Venturi, Simone; Casey, Tiernan
3
2023
Isogeometric analysis-based physics-informed graph neural network for studying traffic jam in neurons. Zbl 07644198
Li, Angran; Zhang, Yongjie Jessica
3
2023
Scaled boundary perfectly matched layer (SBPML): a novel 3D time-domain artificial boundary method for wave problem in general-shaped and heterogeneous infinite domain. Zbl 07644201
Zhang, Guoliang; Zhao, Mi; Zhang, Junqi; Du, Xiuli
3
2023
A Bernstein-Bézier Lagrange-Galerkin method for three-dimensional advection-dominated problems. Zbl 07644206
El-Amrani, Mofdi; El Kacimi, Abdellah; Khouya, Bassou; Seaid, Mohammed
3
2023
Error analysis of Petrov-Galerkin immersed finite element methods. Zbl 07644833
He, Cuiyu; Zhang, Shun; Zhang, Xu
3
2023
An explicit formulation for minimum length scale control in density-based topology optimization. Zbl 07644836
Li, Quhao; Liang, Guowei; Luo, Yunfeng; Zhang, Fengtong; Liu, Shutian
3
2023
A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces. Zbl 07644840
Pan, Qing; Chen, Chong; Zhang, Yongjie Jessica; Yang, Xiaofeng
3
2023
An implicit FFT-based method for wave propagation in elastic heterogeneous media. Zbl 07644845
Sancho, R.; Rey-de-Pedraza, V.; Lafourcade, P.; Lebensohn, R. A.; Segurado, J.
3
2023
Simultaneous material and topology optimization of composite laminates. Zbl 07644854
Smith, Hollis; Norato, Julián
3
2023
Improved XFEM (IXFEM): 3D dynamic crack propagation under impact loading. Zbl 07653046
Xiao, Guizhong; Wen, Longfei; Tian, Rong; Zhang, Dingguo
3
2023
Projection pursuit adaptation on polynomial chaos expansions. Zbl 07653047
Zeng, Xiaoshu; Ghanem, Roger
3
2023
Transfer learning based physics-informed neural networks for solving inverse problems in engineering structures under different loading scenarios. Zbl 07653053
Xu, Chen; Cao, Ba Trung; Yuan, Yong; Meschke, Günther
3
2023
A stochastic finite element scheme for solving partial differential equations defined on random domains. Zbl 07653061
Zheng, Zhibao; Valdebenito, Marcos; Beer, Michael; Nackenhorst, Udo
3
2023
Phase-field Navier-Stokes model for vesicle doublets hydrodynamics in incompressible fluid flow. Zbl 07692972
Ashour, Mohammed; Valizadeh, Navid; Rabczuk, Timon
3
2023
Concurrent multiscale topology optimization of metamaterials for mechanical cloak. Zbl 07682850
Lu, Yifu; Tong, Liyong
2
2023
Evaluation of dual-weighted residual and machine learning error estimation for projection-based reduced-order models of steady partial differential equations. Zbl 07682856
Blonigan, Patrick J.; Parish, Eric J.
2
2023
Machine-learning assisted topology optimization for architectural design with artistic flavor. Zbl 07697905
Zhang, Weisheng; Wang, Yue; Du, Zongliang; Liu, Chang; Youn, Sung-Kie; Guo, Xu
2
2023
Finite strain topology optimization with nonlinear stability constraints. Zbl 07697913
Zhang, Guodong; Khandelwal, Kapil; Guo, Tong
2
2023
Solving multi-material problems in solid mechanics using physics-informed neural networks based on domain decomposition technology. Zbl 07697914
Diao, Yu; Yang, Jianchuan; Zhang, Ying; Zhang, Dawei; Du, Yiming
2
2023
Denoising diffusion algorithm for inverse design of microstructures with fine-tuned nonlinear material properties. Zbl 07697918
Vlassis, Nikolaos N.; Sun, WaiChing
2
2023
Modeling of hyperelastic polymer gels under blunt ballistic impact with three-dimensional flexibilities. Zbl 07697919
Yin, B. B.; Sun, W. K.; Zhang, Yang; Liew, K. M.
2
2023
Kernel free boundary integral method for 3D incompressible flow and linear elasticity equations on irregular domains. Zbl 07725701
Zhao, Zhongshu; Dong, Haixia; Ying, Wenjun
2
2023
Novel bootstrap-based ellipsoidal convex model for non-probabilistic reliability-based design optimization with insufficient input data. Zbl 07736343
Yang, Hao; Tian, Haojun; Zhang, Yue; Hao, Peng; Wang, Bo; Gao, Qiang
2
2023
A new family of semi-implicit finite volume/virtual element methods for incompressible flows on unstructured meshes. Zbl 07725685
Boscheri, Walter; Chiozzi, Andrea; Carlino, Michele Giuliano; Bertaglia, Giulia
2
2023
...and 1036 more Documents
all top 5

Cited by 56,994 Authors

231 Dehghan Takht Fooladi, Mehdi
223 Hughes, Thomas J. R.
210 Tezduyar, Tayfun E.
184 Wriggers, Peter
183 Liu, Gui-Rong
178 Rabczuk, Timon
168 Liu, Wing Kam
160 Steinmann, Paul
148 Oñate Ibáñez de Navarra, Eugenio
142 Belytschko, Ted Bohdan
139 He, Yinnian
137 Quarteroni, Alfio M.
136 Karniadakis, George Em
132 Bazilevs, Yuri
132 Codina, Ramon
121 Oden, John Tinsley
121 Wall, Wolfgang A.
120 Chung, Tsz Shun Eric
120 Liew, Kim Meow
115 Burman, Erik
114 Yang, Xiaofeng
109 Babuška, Ivo
107 Farhat, Charbel H.
106 Demkowicz, Leszek F.
106 Takizawa, Kenji
105 Feng, Xinlong
105 Gatica, Gabriel N.
104 Bordas, Stéphane Pierre Alain
104 Dumbser, Michael
103 Huang, Yunqing
103 Rozza, Gianluigi
102 Beirão da Veiga, Lourenço
99 Kim, Junseok
94 Calo, Victor Manuel
93 Larson, Mats G.
93 Shu, Chi-Wang
92 Zhang, Chuanzeng
91 Fernández, Jose Ramon
90 Wheeler, Mary Fanett
88 Hansbo, Peter
88 Li, Jichun
87 Ern, Alexandre
87 Rui, Hongxing
86 Carstensen, Carsten
86 Ortiz, Michael
86 Reddy, Junuthula Narasimha
85 Nguyen-Xuan, Hung
84 Shen, Jie
83 Wohlmuth, Barbara I.
82 Auricchio, Ferdinando
81 Huerta, Antonio
81 Li, Xiaolin
80 Argyris, John Hadji
80 Ganji, Davood Domiri
80 Miehe, Christian
80 Zhang, Zhimin
79 Gunzburger, Max D.
79 Idelsohn, Sergio Rodolfo
79 Rebholz, Leo Gregory
79 Schwab, Christoph
77 Ruiz-Baier, Ricardo
76 Fish, Jacob
76 Han, Xu
76 Wang, Hong
75 Chen, Jiun-Shyan
75 de Borst, René
75 Reali, Alessandro
75 Sun, Shuyu
74 Natarajan, Sundararajan
73 Sigmund, Ole
73 Zohdi, Tarek I.
72 Du, Qiang
72 Wick, Thomas
71 Ibrahimbegović, Adnan
71 Zhang, Hongwu
69 Abbaszadeh, Mostafa
69 Chen, Yanping
69 Chinesta, Francisco
69 Soize, Christian
68 Seaïd, Mohammed
68 Zhang, Yongjie Jessica
67 Efendiev, Yalchin R.
67 Guo, Xu
67 John, Volker
67 Papadrakakis, Manolis
67 Song, Chongmin
67 Zheng, Hong
66 Bui, Tinh Quoc
66 Hou, Yanren
66 Ladevèze, Pierre
65 Cockburn, Bernardo
65 Hsu, Ming-Chen
64 Badia, Santiago
64 de Lorenzis, Laura
64 Rank, Ernst
63 Buffa, Annalisa
63 Givoli, Dan
63 Han, Weimin
63 Reddy, B. Dayanand
62 Antonietti, Paola Francesca
...and 56,894 more Authors
all top 5

Cited in 844 Journals

10,651 Computer Methods in Applied Mechanics and Engineering
4,383 Journal of Computational Physics
2,827 International Journal for Numerical Methods in Engineering
2,121 Computational Mechanics
1,949 Engineering Analysis with Boundary Elements
1,926 Computers & Mathematics with Applications
1,519 Journal of Computational and Applied Mathematics
1,499 Computers and Fluids
1,487 Applied Mathematical Modelling
1,268 Journal of Scientific Computing
1,197 Applied Mathematics and Computation
900 Applied Numerical Mathematics
850 European Journal of Mechanics. A. Solids
776 International Journal for Numerical Methods in Fluids
765 SIAM Journal on Scientific Computing
709 Acta Mechanica
614 Numerical Methods for Partial Differential Equations
552 Numerische Mathematik
539 Communications in Numerical Methods in Engineering
506 International Journal of Computational Methods
492 Journal of Fluid Mechanics
455 Mathematics of Computation
447 Mathematical Problems in Engineering
420 Mathematics and Computers in Simulation
409 Journal of the Mechanics and Physics of Solids
405 SIAM Journal on Numerical Analysis
371 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
357 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
343 International Journal of Engineering Science
340 Communications in Nonlinear Science and Numerical Simulation
333 International Journal of Computer Mathematics
319 Meccanica
313 Computer Physics Communications
301 Mathematical Methods in the Applied Sciences
296 International Journal of Computational Fluid Dynamics
289 International Journal of Solids and Structures
280 Engineering Computations
274 Numerical Algorithms
274 Computational Geosciences
272 Communications in Computational Physics
265 Advances in Computational Mathematics
264 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
257 Structural and Multidisciplinary Optimization
251 Multibody System Dynamics
246 International Journal of Structural Stability and Dynamics
236 Mathematics and Mechanics of Solids
227 International Journal of Numerical Methods for Heat & Fluid Flow
219 Applied Mathematics Letters
214 Computational and Applied Mathematics
210 Journal of Mathematical Analysis and Applications
193 Archives of Computational Methods in Engineering
187 Advances in Applied Mathematics and Mechanics
186 Archive of Applied Mechanics
185 Applied Mathematics and Mechanics. (English Edition)
173 Acta Mechanica Sinica
172 Nonlinear Dynamics
163 Mathematical and Computer Modelling
158 Chaos, Solitons and Fractals
157 Calcolo
155 Journal of Elasticity
150 Inverse Problems in Science and Engineering
149 Wave Motion
149 European Journal of Mechanics. B. Fluids
148 Continuum Mechanics and Thermodynamics
146 Computational Methods in Applied Mathematics
145 SIAM/ASA Journal on Uncertainty Quantification
140 Numerical Linear Algebra with Applications
139 BIT
136 Computer Aided Geometric Design
132 International Journal of Heat and Mass Transfer
132 Physics of Fluids
129 Journal of Engineering Mathematics
128 International Journal for Numerical Methods in Biomedical Engineering
125 Multiscale Modeling & Simulation
120 Abstract and Applied Analysis
114 ZAMP. Zeitschrift für angewandte Mathematik und Physik
112 Applicable Analysis
106 Physica D
106 Advances in Difference Equations
104 International Journal for Numerical and Analytical Methods in Geomechanics
104 Engineering Optimization
102 International Journal of Plasticity
101 Comptes Rendus. Mathématique. Académie des Sciences, Paris
101 International Journal of Fracture
99 Journal of Applied Mathematics
97 Journal of Optimization Theory and Applications
96 Physica A
94 International Journal of Numerical Analysis and Modeling
92 GAMM-Mitteilungen
91 Optimization and Engineering
86 RAIRO. Modélisation Mathématique et Analyse Numérique
84 AMM. Applied Mathematics and Mechanics. (English Edition)
83 Computing
83 Japan Journal of Industrial and Applied Mathematics
82 Physics Letters. A
82 Journal of Numerical Mathematics
79 Archive for Rational Mechanics and Analysis
78 Journal of Vibration and Control
77 International Journal of Applied and Computational Mathematics
77 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
...and 744 more Journals
all top 5

Cited in 62 Fields

30,822 Numerical analysis (65-XX)
24,620 Mechanics of deformable solids (74-XX)
18,156 Fluid mechanics (76-XX)
12,589 Partial differential equations (35-XX)
2,159 Biology and other natural sciences (92-XX)
1,890 Calculus of variations and optimal control; optimization (49-XX)
1,837 Classical thermodynamics, heat transfer (80-XX)
1,667 Operations research, mathematical programming (90-XX)
1,503 Optics, electromagnetic theory (78-XX)
1,428 Computer science (68-XX)
1,411 Mechanics of particles and systems (70-XX)
1,279 Ordinary differential equations (34-XX)
1,143 Statistical mechanics, structure of matter (82-XX)
1,045 Geophysics (86-XX)
950 Statistics (62-XX)
893 Probability theory and stochastic processes (60-XX)
774 Systems theory; control (93-XX)
757 Approximations and expansions (41-XX)
628 Real functions (26-XX)
592 Integral equations (45-XX)
541 Dynamical systems and ergodic theory (37-XX)
384 Linear and multilinear algebra; matrix theory (15-XX)
308 Operator theory (47-XX)
217 Quantum theory (81-XX)
175 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
163 Information and communication theory, circuits (94-XX)
156 Functional analysis (46-XX)
155 Potential theory (31-XX)
154 Special functions (33-XX)
153 Global analysis, analysis on manifolds (58-XX)
143 Harmonic analysis on Euclidean spaces (42-XX)
114 Differential geometry (53-XX)
89 Integral transforms, operational calculus (44-XX)
83 General and overarching topics; collections (00-XX)
78 Combinatorics (05-XX)
71 Functions of a complex variable (30-XX)
52 Measure and integration (28-XX)
46 Difference and functional equations (39-XX)
44 Relativity and gravitational theory (83-XX)
38 Astronomy and astrophysics (85-XX)
37 History and biography (01-XX)
34 Convex and discrete geometry (52-XX)
21 Mathematical logic and foundations (03-XX)
18 Geometry (51-XX)
13 Mathematics education (97-XX)
12 Algebraic geometry (14-XX)
11 Number theory (11-XX)
11 Algebraic topology (55-XX)
10 Topological groups, Lie groups (22-XX)
10 Several complex variables and analytic spaces (32-XX)
8 Commutative algebra (13-XX)
7 General topology (54-XX)
6 Manifolds and cell complexes (57-XX)
5 Sequences, series, summability (40-XX)
4 Category theory; homological algebra (18-XX)
4 Group theory and generalizations (20-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Abstract harmonic analysis (43-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)

Citations by Year