×

zbMATH — the first resource for mathematics

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: 10,792 Publications (since 1972)
References Indexed: 10,669 Publications with 378,655 References.
all top 5

Authors

152 Hughes, Thomas J. R.
93 Liu, Wing Kam
88 Argyris, John Hadji
87 Oden, John Tinsley
75 Babuška, Ivo
75 Belytschko, Ted Bohdan
64 Liew, Kim Meow
63 Demkowicz, Leszek F.
63 Tezduyar, Tayfun E.
62 Rabczuk, Timon
62 Wriggers, Peter
52 Oñate Ibáñez de Navarra, Eugenio
49 Papadrakakis, Manolis
48 Codina, Ramon
44 Noor, Ahmed Khairy
43 Farhat, Charbel H.
41 Bazilevs, Yuri
40 Hansbo, Peter
39 Wall, Wolfgang A.
38 Franca, Leopoldo Luis Cabo Penna
38 Ladevèze, Pierre
38 Quarteroni, Alfio M.
37 Larson, Mats G.
36 Calo, Victor Manuel
36 Simo, Juan Carlos
36 Steinmann, Paul
35 Liu, Gui-Rong
35 Reddy, Junuthula Narasimha
34 Litvin, Faydor L.
33 Bordas, Stéphane Pierre Alain
33 Karniadakis, George Em
33 Wheeler, Mary Fanett
32 Borja, Ronaldo I.
32 Taylor, Robert Leroy
31 Desmet, Wim
31 Fish, Jacob
31 Huerta, Antonio
31 Miehe, Christian
30 Gil, Antonio J.
30 Idelsohn, Sergio Rodolfo
30 Nguyen-Xuan, Hung
30 Zohdi, Tarek I.
29 Carey, Graham Francis
28 Dawson, Clint N.
28 Ibrahimbegović, Adnan
28 Reali, Alessandro
27 Auricchio, Ferdinando
27 de Lorenzis, Laura
27 Ortiz, Michael
26 Burman, Erik
26 Harari, Isaac
26 Kiendl, Josef
26 Stein, Erwin
25 Beirão da Veiga, Lourenço
25 Bletzinger, Kai-Uwe
25 de Borst, René
25 Kang, Zhan
25 Kikuchi, Noboru
25 Loula, Abimael Fernando Dourado
25 Masud, Arif
25 Sigmund, Ole
24 Bonet, Javier
24 Evans, John A.
24 Guo, Xu
24 Rank, Ernst
24 Sangalli, Giancarlo
24 Shephard, Mark S.
24 Sluys, Lambertus Johannes
24 Song, Chongmin
24 Tortorelli, Daniel A.
23 Ainsworth, Mark
23 Gunzburger, Max D.
23 Le Tallec, Patrick
23 Reddy, B. Dayanand
22 Paulino, Glaucio H.
22 Strouboulis, Theofanis
22 Wohlmuth, Barbara I.
21 Badia, Santiago
21 Brezzi, Franco
21 Díez, Pedro
21 Givoli, Dan
21 Li, Shaofan
21 Owen, D. Roger J.
21 Perić, Djordje
21 Rachowicz, Waldemar
21 Reese, Stefanie
21 Schillinger, Dominik
20 Garikipati, Krishna
20 Gatica, Gabriel N.
20 Gravouil, Anthony
20 Hauke, Guillermo
20 Kleiber, Michal
20 Zhuang, Xiaoying
19 Armero, Francisco
19 Chen, Jiun-Shyan
19 Doltsinis, Ioannis St.
19 Dutra do Carmo, Eduardo Gomes
19 Hsu, Ming-Chen
19 Oberai, Assad A.
19 Oliver, Javier
...and 12,152 more Authors
all top 5

Fields

6,728 Mechanics of deformable solids (74-XX)
4,215 Numerical analysis (65-XX)
2,923 Fluid mechanics (76-XX)
714 Partial differential equations (35-XX)
315 Biology and other natural sciences (92-XX)
307 Classical thermodynamics, heat transfer (80-XX)
290 Mechanics of particles and systems (70-XX)
215 Calculus of variations and optimal control; optimization (49-XX)
199 Optics, electromagnetic theory (78-XX)
170 Statistics (62-XX)
162 Operations research, mathematical programming (90-XX)
139 Computer science (68-XX)
125 Statistical mechanics, structure of matter (82-XX)
124 Geophysics (86-XX)
113 Probability theory and stochastic processes (60-XX)
79 Systems theory; control (93-XX)
59 Ordinary differential equations (34-XX)
58 Approximations and expansions (41-XX)
57 General and overarching topics; collections (00-XX)
54 Integral equations (45-XX)
28 Dynamical systems and ergodic theory (37-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
24 Differential geometry (53-XX)
21 Information and communication theory, circuits (94-XX)
15 History and biography (01-XX)
14 Quantum theory (81-XX)
13 Functions of a complex variable (30-XX)
13 Potential theory (31-XX)
13 Global analysis, analysis on manifolds (58-XX)
9 Combinatorics (05-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Real functions (26-XX)
8 Operator theory (47-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

8,913 Publications have been cited 136,260 times in 44,178 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
834
1996
Meshless methods: An overview and recent developments. Zbl 0891.73075
Belytschko, T.; Krongauz, Y.; Organ, D.; Fleming, M.; Krysl, P.
831
1996
Homotopy perturbation technique. Zbl 0956.70017
He, Jihuan
727
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.
722
1995
Generating optimal topologies in structural design using a homogenization method. Zbl 0671.73065
Bendsøe, Martin Philip; Kikuchi, Noboru
576
1988
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 variational multiscale method – a paradigm for computational mechanics. Zbl 1017.65525
Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca; Quincy, Jean-Baptiste
535
1998
The numerical computation of turbulent flows. Zbl 0277.76049
Launder, B. E.; Spalding, D. B.
475
1974
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.
474
1989
A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Zbl 0423.76070
Leonard, B. P.
458
1979
Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039
Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K.
422
1981
Approximate analytical solution for seepage flow with fractional derivatives in porous media. Zbl 0942.76077
He, Jihuan
411
1998
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.
376
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.
365
2007
Isogeometric analysis of structural vibrations. Zbl 1119.74024
Cottrell, J. A.; Reali, A.; Bazilevs, Y.; Hughes, T. J. R.
360
2006
An overview of projection methods for incompressible flows. Zbl 1122.76072
Guermond, J. L.; Minev, P.; Shen, Jie
350
2006
A level set method for structural topology optimization. Zbl 1083.74573
Wang, Michael Yu; Wang, Xiaoming; Guo, Dongming
350
2003
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.
333
1992
Consistent tangent operators for rate-independent elastoplasticity. Zbl 0535.73025
Simo, J. C.; Taylor, R. L.
320
1985
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.
319
1992
An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems. Zbl 1035.65125
Hansbo, Anita; Hansbo, Peter
310
2002
The generalized finite element method. Zbl 0997.74069
Strouboulis, T.; Copps, K.; Babuška, I.
302
2001
An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Zbl 0508.73063
Donea, J.; Giuliani, S.; Halleux, J. P.
299
1982
An \(h\)-\(p\) adaptive method using clouds. Zbl 0918.73328
Duarte, C. Armando; Oden, J. Tinsley
283
1996
Isogeometric shell analysis with Kirchhoff-Love elements. Zbl 1231.74422
Kiendl, J.; Bletzinger, K.-U.; Linhard, J.; Wüchner, R.
278
2009
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.
264
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.
262
2001
Finite element methods for linear hyperbolic problems. Zbl 0526.76087
Johnson, Claes; Nävert, Uno; Pitkäranta, Juhani
254
1984
Stabilized finite element methods. II: The incompressible Navier-Stokes equations. Zbl 0765.76048
Franca, Leopoldo P.; Frey, Sérgio L.
253
1992
Studies of refinement and continuity in isogeometric structural analysis. Zbl 1173.74407
Cottrell, J. A.; Hughes, T. J. R.; Reali, A.
252
2007
Computational methods in Lagrangian and Eulerian hydrocodes. Zbl 0763.73052
Benson, David J.
249
1992
The design and analysis of the generalized finite element method. Zbl 0983.65127
Strouboulis, T.; Babuška, I.; Copps, K.
247
2000
Stabilized finite element methods. I.: Application to the advective- diffusive model. Zbl 0759.76040
Franca, Leopoldo P.; Frey, Sergio L.; Hughes, Thomas J. R.
237
1992
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.
232
2012
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.
232
1985
Mixed finite element methods - reduced and selective integration techniques: a unification of concepts. Zbl 0381.73075
Malkus, David S.; Hughes, Thomas J. R.
231
1978
Isogeometric analysis of the Cahn-Hilliard phase-field model. Zbl 1194.74524
Gómez, Héctor; Calo, Victor M.; Bazilevs, Yuri; Hughes, Thomas J. R.
230
2008
Smoothed particle hydrodynamics: Some recent improvements and applications. Zbl 0896.73075
Randles, P. W.; Libersky, L. D.
224
1996
A three-dimensional finite-strain rod model. II. Computational aspects. Zbl 0608.73070
Simo, J. C.; Vu-Quoc, L.
224
1986
Added-mass effect in the design of partitioned algorithms for fluid–structure problems. Zbl 1101.74027
Causin, P.; Gerbeau, J. F.; Nobile, F.
222
2005
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
221
2010
A posteriori error estimation in finite element analysis. Zbl 0895.76040
Ainsworth, Mark; Oden, J. Tinsley
213
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
212
1996
A mixed formulation for frictional contact problems prone to Newton like solution methods. Zbl 0825.76353
Alart, P.; Curnier, A.
210
1991
Efficient quadrature for NURBS-based isogeometric analysis. Zbl 1227.65029
Hughes, T. J. R.; Reali, A.; Sangalli, G.
209
2010
\(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Zbl 0993.74062
Feyel, Frédéric; Chaboche, Jean-Louis
207
2000
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.
206
1994
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
205
1973
Isogeometric shell analysis: the Reissner-Mindlin shell. Zbl 1227.74107
Benson, D. J.; Bazilevs, Y.; Hsu, M. C.; Hughes, T. J. R.
204
2010
Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Zbl 0764.73089
Simo, J. C.
203
1992
A new implementation of the element free Galerkin method. Zbl 0847.73064
Lu, Y. Y.; Belytschko, T.; Gu, L.
200
1994
A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Zbl 1068.74076
Hansbo, Anita; Hansbo, Peter
199
2004
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
199
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
194
1986
Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Zbl 0764.73088
Simo, J. C.; Miehe, C.
192
1992
A discontinuous \(hp\) finite element method for convection-diffusion problems. Zbl 0924.76051
Baumann, Carlos Erik; Oden, J. Tinsley
192
1999
A numerical method for computing the overall response of nonlinear composites with complex microstructure. Zbl 0954.74079
Moulinec, H.; Suquet, P.
191
1998
On numerically accurate finite element solutions in the fully plastic range. Zbl 0284.73048
Nagtegaal, J. C.; Parks, D. M.; Rice, J. R.
191
1974
Adaptive isogeometric analysis by local \(h\)-refinement with T-splines. Zbl 1227.74125
Dörfel, Michael R.; Jüttler, Bert; Simeon, Bernd
190
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.
190
2000
Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088
Liu, Wing Kam; Li, Shaofan; Belytschko, Ted
187
1997
A finite strain beam formulation. The three-dimensional dynamic problem. I. Zbl 0583.73037
Simo, J. C.
187
1985
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.
183
2012
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.
183
1984
Stabilization of constraints and integrals of motion in dynamical systems. Zbl 0262.70017
Baumgarte, J.
182
1972
Effective properties of composite materials with periodic microstructure: A computational approach. Zbl 0964.74054
Michel, J. C.; Moulinec, H.; Suquet, P.
181
1999
An efficient constraint handling method for genetic algorithms. Zbl 1028.90533
Deb, Kalyanmoy
180
2000
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.
180
2002
Nodal integration of the element-free Galerkin method. Zbl 0918.73329
Beissel, Stephen; Belytschko, Ted
179
1996
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.
177
2003
A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. Zbl 0622.76074
Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira
175
1986
A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. Zbl 0635.76067
Hughes, Thomas J. R.; Franca, Leopoldo P.
175
1987
Multifrontal parallel distributed symmetric and unsymmetric solvers. Zbl 0956.65017
Amestoy, P. R.; Duff, I. S.; L’Excellent, J.-Y.
174
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.
172
1986
A fictitious domain method for Dirichlet problem and applications. Zbl 0845.73078
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques
170
1994
A hierarchical approach to adaptive local refinement in isogeometric analysis. Zbl 1239.65013
Vuong, A.-V.; Giannelli, Carlotta; Jüttler, Bert; Simeon, Bernd
170
2011
Finite element stabilization parameters computed from element matrices and vectors. Zbl 0973.76057
Tezduyar, Tayfun E.; Osawa, Yasuo
170
2000
On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization. Zbl 0692.73062
Simo, J. C.; Fox, D. D.
169
1989
The discontinuous enrichment method. Zbl 1002.76065
Farhat, Charbel; Harari, Isaac; Franca, Leopoldo P.
167
2001
Space-time finite element methods for elastodynamics: Formulations and error estimates. Zbl 0616.73063
Hughes, Thomas J. R.; Hulbert, Gregory M.
166
1988
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Zbl 1088.65002
Matthies, Hermann G.; Keese, Andreas
166
2005
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.
164
2010
Immersed finite element method. Zbl 1067.76576
Zhang, Lucy; Gerstenberger, Axel; Wang, Xiaodong; Liu, Wing Kam
163
2004
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
161
1992
Comparison of some finite element methods for solving the diffusion-convection-reaction equation. Zbl 0959.76040
Codina, Ramon
161
1998
Approximate solution of nonlinear differential equations with convolution product nonlinearities. Zbl 0932.65143
He, Jihuan
159
1998
Fluid-structure interaction with large structural displacements. Zbl 1001.74040
Le Tallec, P.; Mouro, J.
159
2001
Isogeometric structural shape optimization. Zbl 1194.74263
Wall, Wolfgang A.; Frenzel, Moritz A.; Cyron, Christian
155
2008
A computational approach to handle complex microstructure geometries. Zbl 1054.74056
Moës, N.; Cloirec, M.; Cartraud, P.; Remacle, J.-F.
154
2003
Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Zbl 0737.73008
Guedes, José Miranda; Kikuchi, Noboru
153
1990
Variational and momentum preservation aspects of smooth particle hydrodynamic formulations. Zbl 0962.76075
Bonet, J.; Lok, T.-S. L.
153
1999
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.
151
1995
A new cloud-based \(hp\) finite element method. Zbl 0956.74062
Oden, J. T.; Duarte, C. A. M.; Zienkiewicz, O. C.
151
1998
Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.). Zbl 0772.76033
Baiocchi, Claudio; Brezzi, Franco; Franca, Leopoldo P.
151
1993
Stabilized finite element approximation of transient incompressible flows using orthogonal subscales. Zbl 1015.76045
Codina, Ramon
151
2002
A bridging domain method for coupling continua with molecular dynamics. Zbl 1079.74509
Xiao, S. P.; Belytschko, T.
151
2004
On the optimal shape parameters of radial basis functions used for 2-D meshless methods. Zbl 1065.74074
Wang, J. G.; Liu, G. R.
150
2002
Imposing essential boundary conditions in mesh-free methods. Zbl 1060.74665
Fernández-Méndez, Sonia; Huerta, Antonio
149
2004
Non-conforming interface coupling and symmetric iterative solution in isogeometric FE-BE analysis. Zbl 07337821
Yang, H. S.; Dong, C. Y.; Wu, Y. H.
2
2021
Domain decomposition method for the fully-mixed Stokes-Darcy coupled problem. Zbl 07338023
Sun, Yizhong; Sun, Weiwei; Zheng, Haibiao
2
2021
High-order finite element methods for a pressure Poisson equation reformulation of the Navier-Stokes equations with electric boundary conditions. Zbl 07337746
Rosales, Rodolfo Ruben; Seibold, Benjamin; Shirokoff, David; Zhou, Dong
1
2021
Coupling Arbogast-Correa and Bernardi-Raugel elements to resolve coupled Stokes-Darcy flow problems. Zbl 07337753
Harper, Graham; Liu, Jiangguo; Tavener, Simon; Wildey, Tim
1
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
1
2021
The strain-smoothed 4-node quadrilateral finite element. Zbl 07337764
Lee, Chaemin; Kim, San; Lee, Phill-Seung
1
2021
Model-free data-driven computational mechanics enhanced by tensor voting. Zbl 07337781
Eggersmann, Robert; Stainier, Laurent; Ortiz, Michael; Reese, Stefanie
1
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.
1
2021
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
1
2021
An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems. Zbl 07337804
Xie, Xiang; Liu, Yijun
1
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.
1
2021
Considering computational speed vs. accuracy: choosing appropriate mesoscale RVE boundary conditions. Zbl 07338019
Walters, David J.; Luscher, Darby J.; Yeager, John D.
1
2021
An efficient meshfree gradient smoothing collocation method (GSCM) using reproducing kernel approximation. Zbl 07338020
Qian, Zhihao; Wang, Lihua; Gu, Yan; Zhang, Chuanzeng
1
2021
RI-IGABEM based on PIM in transient heat conduction problems of FGMs. Zbl 07338032
Xu, Chuang; Dong, Chunying; Dai, Rui
1
2021
Nonlocal multicontinua with representative volume elements. Bridging separable and non-separable scales. Zbl 07340383
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing T.; Vasilyeva, Maria
1
2021
An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture. Zbl 07340387
Yu, Yue; You, Huaiqian; Trask, Nathaniel
1
2021
Multi-objective isogeometric integrated optimization for shape control of piezoelectric functionally graded plates. Zbl 07340393
Wang, Chao; Yu, Tiantang; Shao, Guojian; Bui, Tinh Quoc
1
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
1
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
1
2021
An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations. Zbl 07340428
DeCaria, Victor; Schneier, Michael
1
2021
Assessment of the effect of negative Poisson’s ratio on the thermal postbuckling of temperature dependent FG-GRMMC laminated cylindrical shells. Zbl 07340431
Shen, Hui-Shen; Xiang, Y.; Reddy, J. N.
1
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
1
2021
High performance reduction technique for multiscale finite element modeling (HPR-FE\(^2\)): towards industrial multiscale FE software. Zbl 07340443
Raschi, Marcelo; Lloberas-Valls, Oriol; Huespe, Alfredo; Oliver, Javier
1
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
1
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
1
2021
An energy approach to the solution of partial differential equations in computational mechanics via machine learning: concepts, implementation and applications. Zbl 1439.74466
Samaniego, E.; Anitescu, C.; Goswami, S.; Nguyen-Thanh, V. M.; Guo, H.; Hamdia, K.; Zhuang, X.; Rabczuk, Timon
14
2020
A nonlocal operator method for solving partial differential equations. Zbl 1441.35250
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon
12
2020
Localized boundary knot method and its application to large-scale acoustic problems. Zbl 1442.76071
Wang, Fajie; Gu, Yan; Qu, Wenzhen; Zhang, Chuanzeng
12
2020
Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data. Zbl 1442.76096
Sun, Luning; Gao, Han; Pan, Shaowu; Wang, Jian-Xun
10
2020
Machine learning in cardiovascular flows modeling: predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networks. Zbl 1441.76149
Kissas, Georgios; Yang, Yibo; Hwuang, Eileen; Witschey, Walter R.; Detre, John A.; Perdikaris, Paris
9
2020
Physics-informed neural networks for high-speed flows. Zbl 1442.76092
Mao, Zhiping; Jagtap, Ameya D.; Karniadakis, George Em
9
2020
A new Lagrange multiplier approach for gradient flows. Zbl 1442.65211
Cheng, Qing; Liu, Chun; Shen, Jie
9
2020
A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach. Zbl 1442.74195
Carrara, P.; Ambati, M.; Alessi, R.; de Lorenzis, L.
8
2020
Unconditionally energy stable large time stepping method for the \(L^2\)-gradient flow based ternary phase-field model with precise nonlocal volume conservation. Zbl 1442.65186
Zhang, Jun; Yang, Xiaofeng
8
2020
On the forced resonant vibration analysis of functionally graded polymer composite doubly-curved nanoshells reinforced with graphene-nanoplatelets. Zbl 1441.74090
Karami, Behrouz; Shahsavari, Davood
7
2020
Virtual element for the buckling problem of Kirchhoff-Love plates. Zbl 1441.74266
Mora, David; Velásquez, Iván
7
2020
An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. Zbl 1442.74208
Kirkesæther Brun, Mats; Wick, Thomas; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian
7
2020
Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws. Zbl 1442.65263
Kuzmin, Dmitri
7
2020
\(\mathrm{SO}(3)\)-invariance of informed-graph-based deep neural network for anisotropic elastoplastic materials. Zbl 1436.74012
Heider, Yousef; Wang, Kun; Sun, WaiChing
6
2020
An embedded-hybridized discontinuous Galerkin finite element method for the Stokes equations. Zbl 1441.76072
Rhebergen, Sander; Wells, Garth N.
6
2020
A phase field framework for capillary-induced fracture in unsaturated porous media: drying-induced vs. hydraulic cracking. Zbl 1441.74205
Heider, Yousef; Sun, WaiChing
6
2020
Curvilinear virtual elements for 2D solid mechanics applications. Zbl 1441.74229
Artioli, E.; Beirão da Veiga, L.; Dassi, F.
6
2020
Large amplitude vibration of FG-CNTRC laminated cylindrical shells with negative Poisson’s ratio. Zbl 1441.74091
Shen, Hui-Shen; Li, Chong; Reddy, J. N.
6
2020
An adaptive global-local approach for phase-field modeling of anisotropic brittle fracture. Zbl 1442.74213
Noii, Nima; Aldakheel, Fadi; Wick, Thomas; Wriggers, Peter
6
2020
A physics-constrained data-driven approach based on locally convex reconstruction for noisy database. Zbl 1436.62725
He, Qizhi; Chen, Jiun-Shyan
5
2020
Multi-material topology optimization of lattice structures using geometry projection. Zbl 1436.74058
Kazemi, Hesaneh; Vaziri, Ashkan; Norato, Julián A.
5
2020
Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements. Zbl 1439.74093
Schulte, J.; Dittmann, M.; Eugster, S. R.; Hesch, S.; Reinicke, T.; dell’Isola, F.; Hesch, Christian
5
2020
Improved treatment of wall boundary conditions for a particle method with consistent spatial discretization. Zbl 1441.76093
Matsunaga, Takuya; Södersten, Axel; Shibata, Kazuya; Koshizuka, Seiichi
5
2020
A variationally consistent phase-field anisotropic damage model for fracture. Zbl 1441.74220
Wu, Jian-Ying; Nguyen, Vinh Phu; Zhou, Hao; Huang, Yuli
5
2020
Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation. Zbl 1441.76059
Frank, Florian; Rupp, Andreas; Kuzmin, Dmitri
5
2020
Explicit topology optimization using IGA-based moving morphable void (MMV) approach. Zbl 1441.74182
Zhang, Weisheng; Li, Dingding; Kang, Pilseong; Guo, Xu; Youn, Sung-Kie
5
2020
A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems. Zbl 1442.65358
Dassi, Franco; Lovadina, Carlo; Visinoni, M.
5
2020
Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method. Zbl 1442.65287
Abbaszadeh, Mostafa; Dehghan, Mehdi
5
2020
High-order extended finite element methods for solving interface problems. Zbl 1442.74243
Xiao, Yuanming; Xu, Jinchao; Wang, Fei
5
2020
Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures. Zbl 1442.74249
Gong, Yanpeng; Dong, Chunying; Qin, Fei; Hattori, Gabriel; Trevelyan, Jon
5
2020
A new nonlocal macro-meso-scale consistent damage model for crack modeling of quasi-brittle materials. Zbl 1439.74335
Lu, Guangda; Chen, Jianbing
4
2020
Analysis of the shifted boundary method for the Stokes problem. Zbl 1441.76037
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo
4
2020
Adaptive analysis of crack propagation in thin-shell structures via an isogeometric-meshfree moving least-squares approach. Zbl 1441.74210
Li, Weidong; Nhon Nguyen-Thanh; Huang, Jiazhao; Zhou, Kun
4
2020
Mixed stabilized finite element method for the stationary Stokes-dual-permeability fluid flow model. Zbl 1441.76064
Mahbub, Md. Abdullah Al; Shi, Feng; Nasu, Nasrin Jahan; Wang, Yongshuai; Zheng, Haibiao
4
2020
Residual-based shock capturing in solids. Zbl 1441.74101
Bazilevs, Yuri; Kamensky, David; Moutsanidis, Georgios; Shende, Shaunak
4
2020
Topology optimization for energy dissipation design of lattice structures through snap-through behavior. Zbl 1441.74158
Deng, Hao; Cheng, Lin; Liang, Xuan; Hayduke, Devlin; To, Albert C.
4
2020
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Zbl 1441.65078
Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Abgrall, Remi
4
2020
Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. Zbl 1441.74301
Ding, Chensen; Deokar, Rohit R.; Lian, Haojie; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A.
4
2020
On the BFGS monolithic algorithm for the unified phase field damage theory. Zbl 1441.74196
Wu, Jian-Ying; Huang, Yuli; Nguyen, Vinh Phu
4
2020
Phase-field modeling of porous-ductile fracture in non-linear thermo-elasto-plastic solids. Zbl 1442.74040
Dittmann, M.; Aldakheel, F.; Schulte, J.; Schmidt, F.; Krüger, M.; Wriggers, P.; Hesch, C.
4
2020
Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain. Zbl 1442.65411
Xu, Kailai; Darve, Eric
4
2020
Topology optimization using material-field series expansion and Kriging-based algorithm: an effective non-gradient method. Zbl 1442.74174
Luo, Yangjun; Xing, Jian; Kang, Zhan
4
2020
An immersed-boundary/isogeometric method for fluid-structure interaction involving thin shells. Zbl 1442.74121
Nitti, Alessandro; Kiendl, Josef; Reali, Alessandro; de Tullio, Marco D.
4
2020
De-homogenization of optimal multi-scale 3D topologies. Zbl 1442.74148
Groen, Jeroen P.; Stutz, Florian C.; Aage, Niels; Bærentzen, Jakob A.; Sigmund, Ole
4
2020
A multiphase SPH model based on Roe’s approximate Riemann solver for hydraulic flows with complex interface. Zbl 1442.76087
Meng, Zi-Fei; Wang, Ping-Ping; Zhang, A-Man; Ming, Fu-Ren; Sun, Peng-Nan
4
2020
Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up. Zbl 1442.65392
Pan, Maodong; Jüttler, Bert; Giust, Alessandro
4
2020
Adaptive least-squares finite element methods for linear transport equations based on an H(div) flux reformulation. Zbl 1442.65383
Liu, Qunjie; Zhang, Shun
4
2020
Geometrically nonlinear multi-patch isogeometric analysis of planar curved Euler-Bernoulli beams. Zbl 1442.74108
Vo, Duy; Nanakorn, Pruettha
4
2020
IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media. Zbl 1442.74216
Wheeler, Mary F.; Wick, Thomas; Lee, Sanghyun
4
2020
A higher order nonlocal operator method for solving partial differential equations. Zbl 1442.65440
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon
4
2020
A second order unconditionally stable scheme for the modified phase field crystal model with elastic interaction and stochastic noise effect. Zbl 1436.74049
Xia, Binhu; Mei, Changlin; Yu, Qian; Li, Yibao
3
2020
FFT-based solver for higher-order and multi-phase-field fracture models applied to strongly anisotropic brittle materials. Zbl 1439.74364
Ma, Ran; Sun, WaiChing
3
2020
Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods. Zbl 1439.74263
Chen, Leilei; Lu, Chuang; Lian, Haojie; Liu, Zhaowei; Zhao, Wenchang; Li, Shengze; Chen, Haibo; Bordas, Stéphane P. A.
3
2020
Local Dirichlet-type absorbing boundary conditions for transient elastic wave propagation problems. Zbl 1439.74147
Mossaiby, Farshid; Shojaei, Arman; Boroomand, Bijan; Zaccariotto, Mirco; Galvanetto, Ugo
3
2020
New material point method contact algorithms for improved accuracy, large-deformation problems, and proper null-space filtering. Zbl 1439.74504
Nairn, John A.; Hammerquist, Chad C.; Smith, Grant D.
3
2020
Fourier series-based discrete element method for computational mechanics of irregular-shaped particles. Zbl 1439.74089
Lai, Zhengshou; Chen, Qiushi; Huang, Linchong
3
2020
Peridynamic Petrov-Galerkin method: a generalization of the peridynamic theory of correspondence materials. Zbl 1441.74016
Bode, T.; Weißenfels, C.; Wriggers, P.
3
2020
Adaptive kriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables. Zbl 1441.74151
Xiao, Ning-Cong; Yuan, Kai; Zhou, Chengning
3
2020
Volumetric spline parameterization for isogeometric analysis. Zbl 1441.65021
Pan, Maodong; Chen, Falai; Tong, Weihua
3
2020
Isogeometric collocation on planar multi-patch domains. Zbl 1441.65112
Kapl, Mario; Vitrih, Vito
3
2020
Cam-Clay plasticity. IX: On the anisotropy, heterogeneity, and viscoplasticity of shale. Zbl 1441.74042
Borja, Ronaldo I.; Yin, Qing; Zhao, Yang
3
2020
Interval field model and interval finite element analysis. Zbl 1441.74268
Ni, B. Y.; Jiang, C.
3
2020
A level-set based continuous scanning path optimization method for reducing residual stress and deformation in metal additive manufacturing. Zbl 1441.74154
Chen, Qian; Liu, Jikai; Liang, Xuan; To, Albert C.
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
3
2020
Data-driven reduced order model with temporal convolutional neural network. Zbl 1441.76101
Wu, Pin; Sun, Junwu; Chang, Xuting; Zhang, Wenjie; Arcucci, Rossella; Guo, Yike; Pain, Christopher C.
3
2020
A total-Lagrangian material point method for solid mechanics problems involving large deformations. Zbl 1441.74300
de Vaucorbeil, Alban; Nguyen, Vinh Phu; Hutchinson, Christopher R.
3
2020
Designing phononic crystal with anticipated band gap through a deep learning based data-driven method. Zbl 1442.74135
Li, Xiang; Ning, Shaowu; Liu, Zhanli; Yan, Ziming; Luo, Chengcheng; Zhuang, Zhuo
3
2020
The surrogate matrix methodology: low-cost assembly for isogeometric analysis. Zbl 1442.65471
Drzisga, Daniel; Keith, Brendan; Wohlmuth, Barbara
3
2020
Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach. Zbl 1442.65356
Coradello, Luca; Antolin, Pablo; Vázquez, Rafael; Buffa, Annalisa
3
2020
The numerical manifold method for exterior problems. Zbl 1442.65420
Zheng, Hong; Wang, Fangyi
3
2020
VEM-based tracking algorithm for cohesive/frictional 2D fracture. Zbl 1442.74198
Artioli, E.; Marfia, S.; Sacco, E.
3
2020
Conservative physics-informed neural networks on discrete domains for conservation laws: applications to forward and inverse problems. Zbl 1442.92002
Jagtap, Ameya D.; Kharazmi, Ehsan; Karniadakis, George Em
3
2020
Material and shape optimization of bi-directional functionally graded plates by GIGA and an improved multi-objective particle swarm optimization algorithm. Zbl 1442.74161
Wang, Chao; Koh, Jin Ming; Yu, Tiantang; Xie, Neng Gang; Cheong, Kang Hao
3
2020
Strategy for sensor number determination and placement optimization with incomplete information based on interval possibility model and clustering avoidance distribution index. Zbl 1442.90208
Yang, Chen; Liang, Ke; Zhang, Xuepan
3
2020
A new type of peridynamics: element-based peridynamics. Zbl 1442.74032
Liu, Shuo; Fang, Guodong; Liang, Jun; Fu, Maoqing; Wang, Bing
3
2020
...and 1048 more Documents
all top 5

Cited by 41,786 Authors

202 Hughes, Thomas J. R.
190 Tezduyar, Tayfun E.
174 Dehghan Takht Fooladi, Mehdi
165 Liu, Gui-Rong
146 Liu, Wing Kam
145 Wriggers, Peter
141 Belytschko, Ted Bohdan
130 Oñate Ibáñez de Navarra, Eugenio
127 Rabczuk, Timon
126 Steinmann, Paul
116 Bazilevs, Yuri
114 Codina, Ramon
104 He, Yinnian
103 Oden, John Tinsley
102 Liew, Kim Meow
100 Quarteroni, Alfio M.
99 Demkowicz, Leszek F.
98 Babuška, Ivo
94 Farhat, Charbel H.
94 Wall, Wolfgang A.
86 Beirão da Veiga, Lourenço
86 Takizawa, Kenji
80 Argyris, John Hadji
80 Burman, Erik
80 Wheeler, Mary Fanett
79 Karniadakis, George Em
78 Gatica, Gabriel N.
78 Miehe, Christian
76 Bordas, Stéphane Pierre Alain
75 Nguyen-Xuan, Hung
73 Dumbser, Michael
72 Huerta, Antonio
72 Idelsohn, Sergio Rodolfo
71 Calo, Victor Manuel
71 Carstensen, Carsten
71 Hansbo, Peter
70 Larson, Mats G.
70 Shu, Chi-Wang
69 Ortiz, Michael
68 Auricchio, Ferdinando
68 Li, Jichun
67 Chung, Tsz Shun Eric
66 de Borst, René
66 Reddy, Junuthula Narasimha
66 Zhang, Chuanzeng
65 Schwab, Christoph
65 Wohlmuth, Barbara I.
64 Fernández, Jose Ramon
64 Huang, Yunqing
63 Ern, Alexandre
63 Fish, Jacob
63 Li, Xiaolin
62 Papadrakakis, Manolis
61 Ganji, Davood Domiri
61 Gunzburger, Max D.
61 Ibrahimbegović, Adnan
59 Ladevèze, Pierre
58 Rebholz, Leo G.
57 Carey, Graham Francis
57 Chen, Jiun-Shyan
57 Feng, Xinlong
56 Rozza, Gianluigi
56 Yıldırım, Ahmet
55 Chinesta, Francisco
55 Givoli, Dan
54 Cockburn, Bernardo
54 Glowinski, Roland
54 Paulino, Glaucio H.
54 Rank, Ernst
54 Stephan, Ernst Peter
53 Du, Qiang
53 Hsu, Ming-Chen
53 Mohanty, Ranjan Kumar
53 Sigmund, Ole
53 Song, Chongmin
52 Hou, Yanren
52 Löhner, Rainald
52 Yang, Xiaofeng
52 Zohdi, Tarek I.
51 Düster, Alexander
51 Harari, Isaac
51 John, Volker
51 Sladek, Jan
51 Sladek, Vladimir
51 Soize, Christian
51 Yavin, Yaakov
51 Zheng, Hong
50 Buffa, Annalisa
50 Han, Weimin
50 Reali, Alessandro
50 Reddy, B. Dayanand
50 Sheu, Tony Wen-Hann
50 Zhang, Zhimin
49 Brenner, Susanne Cecelia
49 Brezzi, Franco
49 Sangalli, Giancarlo
49 Sluys, Lambertus Johannes
49 Stein, Erwin
48 Badia, Santiago
48 Li, Guangyao
...and 41,686 more Authors
all top 5

Cited in 710 Journals

8,113 Computer Methods in Applied Mechanics and Engineering
2,915 Journal of Computational Physics
2,231 International Journal for Numerical Methods in Engineering
1,706 Computational Mechanics
1,526 Engineering Analysis with Boundary Elements
1,341 Computers & Mathematics with Applications
1,217 Journal of Computational and Applied Mathematics
1,186 Computers and Fluids
1,042 Applied Mathematical Modelling
981 Applied Mathematics and Computation
867 Journal of Scientific Computing
735 Applied Numerical Mathematics
620 International Journal for Numerical Methods in Fluids
583 European Journal of Mechanics. A. Solids
539 Communications in Numerical Methods in Engineering
527 Acta Mechanica
498 Numerische Mathematik
498 SIAM Journal on Scientific Computing
426 Mathematical Problems in Engineering
403 Mathematics of Computation
367 Journal of Fluid Mechanics
367 International Journal of Computational Methods
350 Numerical Methods for Partial Differential Equations
333 Journal of the Mechanics and Physics of Solids
290 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
289 International Journal of Solids and Structures
280 Engineering Computations
271 SIAM Journal on Numerical Analysis
261 Structural and Multidisciplinary Optimization
238 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
227 International Journal of Numerical Methods for Heat & Fluid Flow
221 International Journal of Computer Mathematics
219 Meccanica
213 International Journal of Engineering Science
208 Computational Geosciences
195 International Journal of Computational Fluid Dynamics
195 Multibody System Dynamics
193 Mathematics and Computers in Simulation
192 Applied Mathematics and Mechanics. (English Edition)
192 Mathematics and Mechanics of Solids
191 Archives of Computational Methods in Engineering
188 Archive of Applied Mechanics
178 Numerical Algorithms
176 Advances in Computational Mathematics
169 Journal of Mathematical Analysis and Applications
164 Acta Mechanica Sinica
159 Communications in Nonlinear Science and Numerical Simulation
157 Mathematical and Computer Modelling
152 Nonlinear Dynamics
135 Mathematical Methods in the Applied Sciences
134 Applied Mathematics Letters
132 International Journal of Heat and Mass Transfer
132 Physics of Fluids
129 Inverse Problems in Science and Engineering
128 International Journal for Numerical Methods in Biomedical Engineering
124 Journal of Elasticity
118 Abstract and Applied Analysis
117 Chaos, Solitons and Fractals
115 Continuum Mechanics and Thermodynamics
114 Computational and Applied Mathematics
113 Calcolo
110 BIT
104 International Journal for Numerical and Analytical Methods in Geomechanics
104 Computer Aided Geometric Design
102 International Journal of Plasticity
101 International Journal of Fracture
99 European Journal of Mechanics. B. Fluids
97 Wave Motion
95 Journal of Engineering Mathematics
95 Journal of Applied Mathematics
95 SIAM/ASA Journal on Uncertainty Quantification
91 Comptes Rendus. Mathématique. Académie des Sciences, Paris
90 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
89 Journal of Optimization Theory and Applications
87 ZAMP. Zeitschrift für angewandte Mathematik und Physik
86 Applicable Analysis
86 Computer Physics Communications
86 Computing
86 RAIRO. Modélisation Mathématique et Analyse Numérique
81 Numerical Linear Algebra with Applications
79 Multiscale Modeling & Simulation
78 Journal of Vibration and Control
74 Computational Methods in Applied Mathematics
74 International Journal for Computational Methods in Engineering Science and Mechanics
72 Journal of Computational Acoustics
70 Archive for Rational Mechanics and Analysis
70 International Journal of Structural Stability and Dynamics
68 Numerical Functional Analysis and Optimization
64 Linear Algebra and its Applications
63 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
62 Japan Journal of Industrial and Applied Mathematics
61 Journal of Numerical Mathematics
61 Advances in Difference Equations
59 Physica D
56 COMPEL
54 Advances in Engineering Software
54 Nonlinear Analysis. Real World Applications
53 Mechanics Research Communications
53 Applications of Mathematics
53 Optimization and Engineering
...and 610 more Journals
all top 5

Cited in 62 Fields

21,262 Numerical analysis (65-XX)
18,624 Mechanics of deformable solids (74-XX)
13,035 Fluid mechanics (76-XX)
8,295 Partial differential equations (35-XX)
1,461 Classical thermodynamics, heat transfer (80-XX)
1,420 Biology and other natural sciences (92-XX)
1,349 Calculus of variations and optimal control; optimization (49-XX)
1,151 Mechanics of particles and systems (70-XX)
1,122 Operations research, mathematical programming (90-XX)
1,119 Optics, electromagnetic theory (78-XX)
999 Ordinary differential equations (34-XX)
736 Statistical mechanics, structure of matter (82-XX)
723 Geophysics (86-XX)
604 Computer science (68-XX)
590 Probability theory and stochastic processes (60-XX)
507 Systems theory; control (93-XX)
491 Statistics (62-XX)
471 Approximations and expansions (41-XX)
441 Integral equations (45-XX)
373 Dynamical systems and ergodic theory (37-XX)
293 Real functions (26-XX)
253 Linear and multilinear algebra; matrix theory (15-XX)
189 Operator theory (47-XX)
120 Quantum theory (81-XX)
112 Functional analysis (46-XX)
110 Information and communication theory, circuits (94-XX)
107 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
96 Potential theory (31-XX)
92 Special functions (33-XX)
86 Harmonic analysis on Euclidean spaces (42-XX)
83 Global analysis, analysis on manifolds (58-XX)
80 Differential geometry (53-XX)
63 Combinatorics (05-XX)
62 General and overarching topics; collections (00-XX)
61 Functions of a complex variable (30-XX)
58 Integral transforms, operational calculus (44-XX)
34 History and biography (01-XX)
30 Difference and functional equations (39-XX)
28 Measure and integration (28-XX)
22 Convex and discrete geometry (52-XX)
20 Astronomy and astrophysics (85-XX)
19 Relativity and gravitational theory (83-XX)
14 Mathematical logic and foundations (03-XX)
14 Geometry (51-XX)
9 Mathematics education (97-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Topological groups, Lie groups (22-XX)
6 Number theory (11-XX)
6 Algebraic topology (55-XX)
5 Commutative algebra (13-XX)
5 Algebraic geometry (14-XX)
5 Sequences, series, summability (40-XX)
5 Manifolds and cell complexes (57-XX)
4 Category theory; homological algebra (18-XX)
4 Group theory and generalizations (20-XX)
4 General topology (54-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Nonassociative rings and algebras (17-XX)
2 Abstract harmonic analysis (43-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)

Citations by Year