International Journal for Numerical Methods in Engineering Short Title: Int. J. Numer. Methods Eng. Publisher: Wiley, Chichester ISSN: 0029-5981; 1097-0207/e Online: https://onlinelibrary.wiley.com/loi/10970207 Comments: Journal Documents Indexed: 9,089 Publications (since 1969) References Indexed: 8,717 Publications with 237,583 References. all top 5 Latest Issues 125, No. 2 (2024) 125, No. 1 (2024) 124, No. 24 (2023) 124, No. 23 (2023) 124, No. 22 (2023) 124, No. 21 (2023) 124, No. 20 (2023) 124, No. 19 (2023) 124, No. 18 (2023) 124, No. 17 (2023) 124, No. 16 (2023) 124, No. 15 (2023) 124, No. 14 (2023) 124, No. 13 (2023) 124, No. 12 (2023) 124, No. 11 (2023) 124, No. 10 (2023) 124, No. 9 (2023) 124, No. 8 (2023) 124, No. 7 (2023) 124, No. 6 (2023) 124, No. 4 (2023) 124, No. 3 (2023) 124, No. 2 (2023) 124, No. 1 (2023) 123, No. 24 (2022) 123, No. 23 (2022) 123, No. 22 (2022) 123, No. 21 (2022) 123, No. 20 (2022) 123, No. 19 (2022) 123, No. 18 (2022) 123, No. 17 (2022) 123, No. 16 (2022) 123, No. 15 (2022) 123, No. 14 (2022) 123, No. 13 (2022) 123, No. 12 (2022) 123, No. 11 (2022) 123, No. 8 (2022) 123, No. 7 (2022) 123, No. 6 (2022) 123, No. 5 (2022) 123, No. 4 (2022) 123, No. 3 (2022) 123, No. 2 (2022) 123, No. 1 (2022) 119, No. 5 (2019) 110, No. 8 (2017) 110, No. 7 (2017) 110, No. 6 (2017) 110, No. 5 (2017) 110, No. 4 (2017) 110, No. 3 (2017) 110, No. 2 (2017) 110, No. 1 (2017) 109, No. 13 (2017) 109, No. 11 (2017) 109, No. 10 (2017) 107, No. 13 (2016) 107, No. 12 (2016) 107, No. 11 (2016) 107, No. 10 (2016) 107, No. 9 (2016) 107, No. 8 (2016) 107, No. 7 (2016) 107, No. 6 (2016) 107, No. 5 (2016) 107, No. 4 (2016) 107, No. 3 (2016) 107, No. 2 (2016) 107, No. 1 (2016) 106, No. 13 (2016) 106, No. 12 (2016) 106, No. 11 (2016) 106, No. 10 (2016) 106, No. 9 (2016) 106, No. 8 (2016) 106, No. 7 (2016) 106, No. 6 (2016) 106, No. 5 (2016) 106, No. 4 (2016) 106, No. 3 (2016) 106, No. 2 (2016) 106, No. 1 (2016) 105, No. 3 (2016) 105, No. 2 (2016) 105, No. 1 (2016) 104, No. 13 (2015) 104, No. 12 (2015) 104, No. 11 (2015) 104, No. 10 (2015) 104, No. 9 (2015) 104, No. 8 (2015) 104, No. 7 (2015) 104, No. 6 (2015) 104, No. 5 (2015) 104, No. 4 (2015) 104, No. 3 (2015) 104, No. 2 (2015) ...and 1,010 more Volumes all top 5 Authors 116 Belytschko, Ted Bohdan 88 Zienkiewicz, Olgierd Cecil 66 Farhat, Charbel H. 50 Oñate Ibáñez de Navarra, Eugenio 47 Ortiz, Michael 44 Taylor, Robert Leroy 41 Liu, Wing Kam 39 de Borst, René 37 Wriggers, Peter 35 Fish, Jacob 34 Owen, David Roger Jones 33 Lewis, Roland W. 33 Liu, Gui-Rong 32 Ferri Aliabadi, Mohammad Hossien 32 Bathe, Klaus-Jürgen 32 Carey, Graham Francis 32 Reddy, Junuthula Narasimha 30 Liew, Kim Meow 29 Babuška, Ivo 29 Cheung, Yau Kai 29 Park, Kwang-Chun 28 Sze, Kam-Yim 27 Chen, Jiun-Shyan 25 Arora, Jasbir S. 25 Idelsohn, Sergio Rodolfo 25 Saigal, Sunil 25 Shephard, Mark S. 25 Steinmann, Paul 25 Tamma, Kumar K. 25 Zabaras, Nicholas J. 24 Combescure, Alain 24 Harari, Isaac 24 Huerta, Antonio 24 Schrefler, Bernhard A. 24 Sukumar, Natarajan 23 Kim, Yoon Young 23 Krysl, Petr 23 Paulino, Glaucio H. 22 Ibrahimbegović, Adnan 22 Moës, Nicolas 22 Morgan, Kenneth 22 Mukherjee, Subrata 21 Löhner, Rainald 21 Mang, Herbert A. 20 Heinrich, Juan C. 20 Leung, Andrew Yee-Tak 20 Miehe, Christian 20 Tortorelli, Daniel A. 20 Yagawa, Genki 19 Auricchio, Ferdinando 19 Banerjee, Prasanta K. 19 Cueto, Elias 19 Hughes, Thomas J. R. 19 Kaveh, Ali 19 Oden, John Tinsley 19 Song, Chongmin 19 Wall, Wolfgang A. 19 Williams, Frederic W. 18 Bordas, Stéphane Pierre Alain 18 Cook, Robert D. 18 Doblaré, Manuel 18 Felippa, Carlos A. 18 Fung, Tsz Chai 18 Lew, Adrian J. 18 Rabczuk, Timon 18 Simo, Juan Carlos 18 Sladek, Jan 18 Sladek, Vladimir 18 Sloan, Scott W. 18 Spilker, Robert L. 18 Wagner, Werner 17 Bettess, Peter 17 Chen, Wanji 17 Codina, Ramon 17 Dolbow, John E. 17 Gray, Leonard J. 17 Moitinho de Almeida, José Paulo 17 Prathap, Gangan 17 Rixen, Daniel J. 17 Tezaur, Radek 16 Areias, Pedro M. A. 16 Betsch, Peter 16 Givoli, Dan 16 Gravouil, Anthony 16 Perić, Djordje 16 Runesson, Kenneth 16 Surana, Karan S. 15 Atluri, Satya N. 15 Hassan, Oubay 15 Laursen, Tod A. 15 Rank, Ernst 15 Tabarrok, Behrouz 15 Tesar, Alexander 14 Abel, John F. 14 Borouchaki, Houman 14 Chenot, Jean-Loup 14 Chinesta, Francisco 14 Feng, Yuntian 14 Gallagher, Richard Hugo 14 Geers, Marc G. D. ...and 10,332 more Authors all top 5 Fields 6,294 Mechanics of deformable solids (74-XX) 3,094 Numerical analysis (65-XX) 1,529 Fluid mechanics (76-XX) 508 Partial differential equations (35-XX) 389 Classical thermodynamics, heat transfer (80-XX) 242 Mechanics of particles and systems (70-XX) 208 Optics, electromagnetic theory (78-XX) 173 Calculus of variations and optimal control; optimization (49-XX) 154 Operations research, mathematical programming (90-XX) 112 Biology and other natural sciences (92-XX) 110 Geophysics (86-XX) 104 Computer science (68-XX) 79 Ordinary differential equations (34-XX) 78 Approximations and expansions (41-XX) 61 Statistical mechanics, structure of matter (82-XX) 60 Integral equations (45-XX) 53 Statistics (62-XX) 50 Systems theory; control (93-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 27 Combinatorics (05-XX) 27 Probability theory and stochastic processes (60-XX) 24 Potential theory (31-XX) 23 History and biography (01-XX) 20 Integral transforms, operational calculus (44-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Information and communication theory, circuits (94-XX) 12 Differential geometry (53-XX) 10 General and overarching topics; collections (00-XX) 10 Functions of a complex variable (30-XX) 9 Difference and functional equations (39-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Real functions (26-XX) 6 Special functions (33-XX) 6 Quantum theory (81-XX) 5 Astronomy and astrophysics (85-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 7,480 Publications have been cited 117,077 times in 40,709 Documents Cited by ▼ Year ▼ Element-free Galerkin methods. Zbl 0796.73077 Belytschko, T.; Lu, Y. Y.; Gu, L. 1,661 1994 A finite element method for crack growth without remeshing. Zbl 0955.74066 Moës, Nicolas; Dolbow, John; Belytschko, Ted 1,338 1999 Gmsh: a 3-D finite element mesh generator with built-in pre- and post-processing facilities. Zbl 1176.74181 Geuzaine, Christophe; Remacle, Jean-François 957 2009 Elastic crack growth in finite elements with minimal remeshing. Zbl 0943.74061 Belytschko, T.; Black, T. 821 1999 The partition of unity method. Zbl 0949.65117 Babuška, I.; Melenk, J. M. 802 1997 The method of moving asymptotes - A new method for structural optimization. Zbl 0602.73091 Svanberg, Krister 715 1987 A simple error estimator and adaptive procedure for practical engineering analysis. Zbl 0602.73063 Zienkiewicz, O. C.; Zhu, J. Z. 639 1987 The superconvergent patch recovery and \(a\;posteriori\) error estimates. I: The recovery technique. Zbl 0769.73084 Zienkiewicz, O. C.; Zhu, J. Z. 605 1992 A class of mixed assumed strain methods and the method of incompatible modes. Zbl 0724.73222 Simo, J. C.; Rifai, M. S. 532 1990 A stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1011.74081 Chen, Jiun-Shyan; Wu, Cheng-Tang; Yoon, Sangpil; You, Yang 498 2001 Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014 Miehe, C.; Welschinger, F.; Hofacker, M. 466 2010 The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169 Fries, Thomas-Peter; Belytschko, Ted 451 2010 A-posteriori error estimates for the finite element method. Zbl 0396.65068 Babuška, Ivo; Rheinboldt, W. C. 408 1978 A method of finite element tearing and interconnecting and its parallel solution algorithm. Zbl 0758.65075 Farhat, Charbel; Roux, Francois-Xavier 372 1991 The superconvergent patch recovery and \(a\;posteriori\) error estimates. II: Error estimates and adaptivity. Zbl 0769.73085 Zienkiewicz, O. C.; Zhu, J. Z. 347 1992 Arbitrary discontinuities in finite elements. Zbl 0981.74062 Belytschko, T.; Moës, N.; Usui, S.; Parimi, C. 322 2001 A point interpolation meshless method based on radial basis functions. Zbl 1098.74741 Wang, J. G.; Liu, G. R. 311 2002 A finite point method in computational mechanics. Applications to convective transport and fluid flow. Zbl 0884.76068 Oñate, E.; Idelsohn, S.; Zienkiewicz, O. C.; Taylor, R. L. 310 1996 CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604 Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André 300 2015 Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078 Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 294 1995 A point interpolation method for two-dimensional solids. Zbl 1050.74057 Liu, G. R.; Gu, Y. T. 292 2001 Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. Zbl 0768.73082 Simo, J. C.; Armero, F. 283 1992 Non-planar 3D crack growth by the extended finite element and level sets. I: Mechanical model. II: Level set update. Zbl 1169.74621 Moës, N.; Gravouil, A.; Belytschko, T. 280 2002 Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067 Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T. 273 2000 Gradient enhanced damage for quasi-brittle materials. Zbl 0882.73057 Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; de Vree, J. H. P. 265 1996 A self-adaptive coordinate transformation for efficient numerical evluation of general boundary element integrals. Zbl 0622.65014 Telles, J. C. F. 257 1987 Reduced integration technique in general analysis of plates and shells. Zbl 0253.73048 Zienkiewicz, O. C.; Taylor, R. L.; Too, J. M. 252 1971 A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Zbl 0478.73049 Flanagan, D. P.; Belytschko, T. 250 1981 Rational approach for assumed stress finite elements. Zbl 0544.73095 Pian, T. H. H.; Sumihara, K. 242 1984 A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Zbl 0551.73072 Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. 241 1985 Subdivision surfaces: A new paradigm for thin-shell finite element analysis. Zbl 0983.74063 Cirak, Fehmi; Ortiz, Michael; Schröder, Peter 233 2000 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053 Hughes, Thomas J. R. 233 1980 Finite-deformation irreversible cohesive elements for three-dimensional crack propagation analysis. Zbl 0932.74067 Ortiz, M.; Pandolfi, A. 232 1999 Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703 Rabczuk, T.; Belytschko, T. 230 2004 Analysis of functionally graded plates. Zbl 0970.74041 Reddy, J. N. 229 2000 Arbitrary branched and intersecting cracks with the extended finite element method. Zbl 0989.74066 Daux, Christophe; Moës, Nicolas; Dolbow, John; Sukumar, Natarajan; Belytschko, Ted 228 2000 A Taylor-Galerkin method for convective transport problems. Zbl 0524.65071 Donea, Jean 223 1984 FETI-DP: A dual-prime unified FETI method. I: A faster alternative to the two-level FETI method. Zbl 1008.74076 Farhat, Charbel; Lesoinne, Michel; LeTallec, Patrick; Pierson, Kendall; Rixen, Daniel 222 2001 Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme. Zbl 1058.74070 Kouznetsova, V.; Geers, M. G. D.; Brekelmans, W. A. M. 217 2002 Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Zbl 1079.74599 Guest, J. K.; Prst, J. H.; Belytschko, T. 213 2004 A new method for modelling cohesive cracks using finite elements. Zbl 1013.74074 Wells, G. N.; Sluys, L. J. 209 2001 Theoretical aspects of the smoothed finite element method (SFEM). Zbl 1194.74432 Liu, G. R.; Nguyen, T. T.; Dai, K. Y.; Lam, K. Y. 205 2007 Filters in topology optimization. Zbl 0971.74062 Bourdin, Blaise 195 2001 The natural element method in solid mechanics. Zbl 0940.74078 Sukumar, N.; Moran, B.; Belytschko, T. 195 1998 A non-conforming element for stress analysis. Zbl 0338.73041 Taylor, Robert L.; Beresford, Peter J.; Wilson, Edward L. 193 1976 Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097 Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R. 192 2011 Conforming polygonal finite elements. Zbl 1073.65563 Sukumar, N.; Tabarraei, A. 191 2004 The boundary node method for potential problems. Zbl 0885.65124 Mukherjee, Yu Xie; Mukherjee, Subrata 187 1997 High degree efficient symmetrical Gaussian quadrature rules for the triangle. Zbl 0589.65021 Dunavant, D. A. 185 1985 Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. Zbl 1235.74351 Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel 183 2011 The dual boundary element method: Effective implementation for crack problems. Zbl 0825.73908 Portela, A.; Aliabadi, M. H.; Rooke, D. P. 181 1992 Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019 De Borst, René; Mühlhaus, Hans-Bernd 178 1992 A corrected XFEM approximation without problems in blending elements. Zbl 1195.74173 Fries, Thomas-Peter 177 2008 Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics. Zbl 0332.73022 Lachat, J. C.; Watson, J. O. 168 1976 A beam finite element nonlinear theory with finite rotations. Zbl 0662.73049 Cardona, A.; Geradin, M. 167 1988 High-order extended finite element method for cracked domains. Zbl 1181.74136 Laborde, Patrick; Pommier, Julien; Renard, Yves; Salaün, Michel 167 2005 Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. I: Fundamentals. II: Numerical simulation. Zbl 0888.73018 Oliver, J. 161 1996 Achievements and some unsolved problems of the finite element method. Zbl 0962.76056 Zienkiewicz, O. C. 159 2000 Improved implementation and robustness study of the X-FEM for stress analysis around cracks. Zbl 1122.74499 Béchet, E.; Minnebo, H.; Moës, N.; Burgardt, B. 158 2005 Construction of curvilinear co-ordinate systems and applications to mesh generation. Zbl 0271.65062 Gordon, William J.; Hall, Charles A. 158 1973 Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243 Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R. 155 2011 A formulation of general shell elements - The use of mixed interpolation of tensorial components. Zbl 0585.73123 Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. 150 1986 A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically nonlinear solid mechanics problems using 4-node tetrahedral elements. Zbl 1183.74299 Nguyen-Thoi, T.; Liu, G. R.; Lam, K. Y.; Zhang, G. Y. 149 2009 High-order compact scheme for the steady stream-function vorticity equations. Zbl 0836.76065 Spotz, W. F.; Carey, G. F. 148 1995 Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662 Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup 147 2003 The vectorization of ITPACK 2C. Zbl 0714.65036 Oppe, Thomas C. 143 1989 Imposing Dirichlet boundary conditions with Nitsche’s method and spline-based finite elements. Zbl 1197.74178 Embar, Anand; Dolbow, John; Harari, Isaac 143 2010 Modelling crack growth by level sets in the extended finite element method. Zbl 1022.74049 Stolarska, M.; Chopp, D. L.; Moës, N.; Belytschko, T. 142 2001 Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081 Hughes, Thomas J. R.; Winget, James 142 1980 Topology optimization of continuum structures with local stress constraints. Zbl 0924.73158 Duysinx, P.; Bendsøe, M. P. 141 1998 The coupling of the finite element method and boundary solution procedures. Zbl 0347.65048 Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 141 1977 A return mapping algorithm for plane stress elastoplasticity. Zbl 0585.73059 Simo, J. C.; Taylor, R. L. 140 1986 A simple and efficient finite element for plate bending. Zbl 0363.73067 Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak 138 1977 Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Zbl 0585.73057 Ortiz, M.; Popov, E. P. 136 1985 A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078 Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted 135 2006 Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions. Zbl 0957.65098 Deraemaeker, Arnaud; Babuška, Ivo; Bouillard, Philippe 135 1999 A unified stability analysis of meshless particle methods. Zbl 0972.74078 Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping 135 2000 The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves. Zbl 1075.76576 Idelsohn, S. R.; Oñate, E.; Del Pin, F. 130 2004 Shear deformable shell elements for large strains and rotations. Zbl 0892.73054 Bischoff, M.; Ramm, E. 130 1997 A study of three-node triangular plate bending elements. Zbl 0463.73071 Batoz, Jean-Louis; Bathe, Klaus-Jürgen; Ho, Lee-Wing 129 1980 Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Zbl 0964.76071 Bonet, J.; Kulasegaram, S. 128 2000 On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122 Chessa, Jack; Wang, Hongwu; Belytschko, Ted 126 2003 Moving-least-squares-particle hydrodynamics. I: Consistency and stability. Zbl 0951.76074 Dilts, Gary A. 125 1999 An alpha modification of Newmark’s method. Zbl 0441.73106 Wood, W. L.; Bossak, M.; Zienkiewicz, O. C. 125 1980 Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056 Miehe, Christian 125 2002 Nonlinear version of stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1098.74732 Chen, Jiun-Shyan; Yoon, Sangpil; Wu, Cheng-Tang 124 2002 On the use of isoparametric finite elements in linear fracture mechanics. Zbl 0321.73067 Barsoum, Roshdy S. 123 1976 EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. Zbl 0772.73071 Andelfinger, U.; Ramm, E. 123 1993 Finite element methods for second order differential equations with significant first derivatives. Zbl 0342.65065 Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Zienkiewicz, O. C. 122 1976 An efficient finite element method for embedded interface problems. Zbl 1183.76803 Dolbow, John; Harari, Isaac 121 2009 An analysis of a new class of intergration algorithms for elastoplastic constitutive relations. Zbl 0585.73058 Ortiz, M.; Simo, J. C. 120 1986 Two-dimensional stress intensity factor computations using the boundary element method. Zbl 0463.73082 Blandford, George E.; Ingraffea, Anthony R.; Liggett, James A. 120 1981 Filters in topology optimization based on Helmholtz-type differential equations. Zbl 1235.74258 Lazarov, B. S.; Sigmund, O. 119 2011 An ’upwind’ finite element scheme for two-dimensional convective transport equation. Zbl 0353.65065 Heinrich, J. C.; Huyakorn, P. S.; Zienkiewicz, O. C.; Mitchell, A. R. 119 1977 Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach. Zbl 1365.74138 Zhao, Jia; Wang, Qi; Yang, Xiaofeng 118 2017 Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods. Zbl 1146.74048 Arroyo, M.; Ortiz, M. 117 2006 The generalized finite element method: An example of its implementation and illustration of its performance. Zbl 0955.65080 Strouboulis, T.; Copps, K.; Babuška, I. 117 2000 Local and global smoothing of discontinuous finite element functions using a least squares method. Zbl 0286.73066 Hinton, E.; Campbell, J. S. 116 1974 Finite element formulations for large deformation dynamic analysis. Zbl 0304.73060 Bathe, Klaus-Jürgen; Ramm, Ekkehard; Wilson, Edward L. 116 1975 A large deformation frictional contact formulation using NURBS-based isogeometric analysis. Zbl 1242.74104 De Lorenzis, L.; Temizer, Ị.; Wriggers, P.; Zavarise, G. 116 2011 On the effectiveness of the Moulinec-Suquet discretization for composite materials. Zbl 07770642 Schneider, Matti 1 2023 Spatial and temporal constraints of the cohesive modeling: a unified criterion for fluid-driven fracture. Zbl 07772230 Wang, Quan; Yu, Hao; Xu, Wenlong; Lyu, ChengSi; Zhang, Jianing; Micheal, Marembo; Wu, HengAn 1 2023 The simple shifted fracture method. Zbl 07772234 Li, Kangan; Rodríguez-Ferran, Antonio; Scovazzi, Guglielmo 1 2023 Multiscale optimal design method of acoustic metamaterials using topology optimization. Zbl 07772241 Kurioka, Hiromasa; Nakayama, Nari; Furuta, Kozo; Noguchi, Yuki; Izui, Kazuhiro; Yamada, Takayuki; Nishiwaki, Shinji 1 2023 Recovery strategies, a posteriori error estimation, and local error indication for second-order G/XFEM and FEM. Zbl 07772242 Bento, Murilo H. C.; Proença, Sergio P. B.; Duarte, C. Armando 1 2023 A non-linear non-intrusive reduced order model of fluid flow by auto-encoder and self-attention deep learning methods. Zbl 1524.76277 Fu, R.; Xiao, D.; Navon, I. M.; Fang, F.; Yang, L.; Wang, C.; Cheng, S. 1 2023 Stochastic spectral cell method for structural dynamics and wave propagations. Zbl 07772332 Zakian, Pooya 1 2023 The surface-reconstruction virtual-region mesh update method for problems with topology changes. Zbl 07769149 González, Felipe A.; Elgeti, Stefanie; Behr, Marek 1 2023 Enhanced physics-informed neural networks for hyperelasticity. Zbl 07769169 Abueidda, Diab W.; Koric, Seid; Guleryuz, Erman; Sobh, Nahil A. 1 2023 A posteriori error estimations and convergence criteria in fast Fourier transform-based computational homogenization. Zbl 07769188 Ferrier, Renaud; Bellis, Cédric 1 2023 A simple Eulerian-Lagrangian weakly compressible smoothed particle hydrodynamics method for fluid flow and heat transfer. Zbl 07769191 Yoo, Hee Sang; Jo, Young Beom; Kim, Jin Woo; Kim, Eung Soo; Choi, Tae Soo 1 2023 Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials. Zbl 07769192 Schneider, Matti; Wicht, Daniel 1 2023 A blended shifted-fracture/phase-field framework for sharp/diffuse crack modeling. Zbl 07769194 Li, Kangan; Rodríguez-Ferran, Antonio; Scovazzi, Guglielmo 1 2023 Distance minimizing based data-driven computational method for the finite deformation of hyperelastic materials. Zbl 07773172 Zheng, Zhangcheng; Zhang, Zijian; Ye, Hongfei; Zhang, Hongwu; Zheng, Yonggang 1 2023 Analysis and mitigation of spatial integration errors for the material point method. Zbl 07773178 Baumgarten, Aaron S.; Kamrin, Ken 1 2023 A mechanics-informed artificial neural network approach in data-driven constitutive modeling. Zbl 1528.74114 As’ad, Faisal; Avery, Philip; Farhat, Charbel 18 2022 Material modeling for parametric, anisotropic finite strain hyperelasticity based on machine learning with application in optimization of metamaterials. Zbl 1526.74055 Fernández, Mauricio; Fritzen, Felix; Weeger, Oliver 6 2022 Consistency of the full and reduced order models for evolve-filter-relax regularization of convection-dominated, marginally-resolved flows. Zbl 07767903 Strazzullo, Maria; Girfoglio, Michele; Ballarin, Francesco; Iliescu, Traian; Rozza, Gianluigi 6 2022 Probabilistic learning on manifolds (PLoM) with partition. Zbl 07757774 Soize, Christian; Ghanem, Roger 5 2022 Isogeometric analysis of 3D solids in boundary representation for problems in nonlinear solid mechanics and structural dynamics. Zbl 07767224 Chasapi, Margarita; Mester, Leonie; Simeon, Bernd; Klinkel, Sven 5 2022 Data-driven physics-based digital twins via a library of component-based reduced-order models. Zbl 07767894 Kapteyn, M. G.; Knezevic, D. J.; Huynh, D. B. P.; Tran, M.; Willcox, K. E. 5 2022 Computational homogenization of higher-order continua. Zbl 07767872 Schmidt, Felix; Krüger, Melanie; Keip, Marc-André; Hesch, Christian 4 2022 Unsymmetric extensions of Wilson’s incompatible four-node quadrilateral and eight-node hexahedral elements. Zbl 07757767 Huang, Ying-Qing; Yang, Yuan-Fan; Wang, Ji-Zhen; Liu, Xiao-Chuan; Chen, Hai-Bo 3 2022 Subdivision based isogeometric analysis for geometric flows. Zbl 07757789 Pan, Qing; Rabczuk, Timon; Chen, Chong 3 2022 An improved stress recovery technique for the unfitted finite element analysis of discontinuous gradient fields. Zbl 07767240 Zhang, Jian; Aragón, Alejandro M. 3 2022 A tracking strategy for multi-branched crack tips in phase-field modeling of dynamic fractures. Zbl 07767249 Zeng, Jun; Zhang, Mengnan; Yang, Erjie; Tian, Fucheng; Li, Liangbin 3 2022 High-order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing. Zbl 07767262 Costa, Ricardo; Nóbrega, João M.; Clain, Stéphane; Machado, Gaspar J. 3 2022 Computational multiphase periporomechanics for unguided cracking in unsaturated porous media. Zbl 07767888 Menon, Shashank; Song, Xiaoyu 3 2022 Probabilistic learning and updating of a digital twin for composite material systems. Zbl 07767895 Ghanem, Roger; Soize, Christian; Mehrez, Loujaine; Aitharaju, Venkat 3 2022 Digital twins that learn and correct themselves. Zbl 07767897 Moya, Beatriz; Badías, Alberto; Alfaro, Icíar; Chinesta, Francisco; Cueto, Elías 3 2022 Molecular dynamics inferred transfer learning models for finite-strain hyperelasticity of monoclinic crystals: Sobolev training and validations against physical constraints. Zbl 07768010 Vlassis, Nikolaos N.; Zhao, Puhan; Ma, Ran; Sewell, Tommy; Sun, WaiChing 3 2022 Intelligent stiffness computation for plate and beam structures by neural network enhanced finite element analysis. Zbl 07768013 Tandale, Saurabh Balkrishna; Markert, Bernd; Stoffel, Marcus 3 2022 A comprehensive implicit substepping integration scheme for multisurface plasticity. Zbl 07757764 Abreu, Rafael; Mejia, Cristian; Roehl, Deane 2 2022 Numerical strategies for variational updates in large strain inelasticity with incompressibility constraint. Zbl 07757773 Sielenkämper, Marian; Dittmann, Jan; Wulfinghoff, Stephan 2 2022 Development of a semi-implicit contact methodology for finite volume stress solvers. Zbl 07757778 Scolaro, Alessandro; Fiorina, Carlo; Clifford, Ivor; Pautz, Andreas 2 2022 Simulation of viscoelastic Cosserat rods based on the geometrically exact dynamics of special Euclidean strands. Zbl 1526.74070 Giusteri, Giulio G.; Miglio, Edie; Parolini, Nicola; Penati, Mattia; Zambetti, Raffaello 2 2022 Mesh superposition-based multiscale stress analysis of composites using homogenization theory and re-localization technique considering fiber location variation. Zbl 1526.74073 Sakata, Sei-ichiro; Tanimasu, Shin 2 2022 A Koiter reduction technique for the nonlinear thermoelastic analysis of shell structures prone to buckling. Zbl 1526.74018 Liguori, Francesco S.; Magisano, Domenico; Madeo, Antonio; Leonetti, Leonardo; Garcea, Giovanni 2 2022 Employing phase-field descriptions of cohesive zone placements in cohesive fracture simulations. Zbl 07767223 Roth, Stephan; Kiefer, Björn 2 2022 Eulerian finite volume formulation using Lagrangian marker particles for incompressible fluid-structure interaction problems. Zbl 07767227 Shimada, Tokimasa; Nishiguchi, Koji; Bale, Rahul; Okazawa, Shigenobu; Tsubokura, Makoto 2 2022 An efficient 4-node facet shell element for the modified couple stress elasticity. Zbl 07767255 Shang, Yan; Wu, Huan-Pu; Cen, Song; Li, Chen-Feng 2 2022 Concurrent topology optimization for thermoelastic structures with random and interval hybrid uncertainties. Zbl 07767259 Zheng, Jing; Ding, Shaonan; Jiang, Chao; Wang, Zhonghua 2 2022 Quasi-static fracture analysis by coupled three-dimensional peridynamics and high order one-dimensional finite elements based on local elasticity. Zbl 07767260 Pagani, Alfonso; Enea, Marco; Carrera, Erasmo 2 2022 Topology optimization of bi-material curved shell structures for minimizing time-domain sound radiation. Zbl 1527.74062 Zheng, Hao; Zhao, Guozhong; Shang, Linyuan; Yu, Yang 2 2022 A re-evaluation of overshooting in time integration schemes: the neglected effect of physical damping in the starting procedure. Zbl 07767882 Maxam, Dean J.; Tamma, Kumar K. 2 2022 An adaptive projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems. Zbl 07767890 Iollo, Angelo; Sambataro, Giulia; Taddei, Tommaso 2 2022 Consistent modeling of the coupling between crystallographic slip and martensitic phase transformation for mechanically induced loadings. Zbl 07767904 de Carvalho, Miguel Vieira; de Bortoli, Daniel; Andrade Pires, Francisco M. 2 2022 Reliability-based topology optimization of continuum structure under buckling and compliance constraints. Zbl 07768014 Guo, Liangbing; Wang, Xuan; Meng, Zeng; Yu, Bo 2 2022 Superaccurate effective elastic moduli via postprocessing in computational homogenization. Zbl 07768018 Schneider, Matti 2 2022 Vibration analysis of piezoelectric Kirchhoff-Love shells based on Catmull-Clark subdivision surfaces. Zbl 07768027 Liu, Zhaowei; McBride, Andrew; Saxena, Prashant; Heltai, Luca; Qu, Yilin; Steinmann, Paul 2 2022 A neural network-enhanced reproducing kernel particle method for modeling strain localization. Zbl 07768033 Baek, Jonghyuk; Chen, Jiun-Shyan; Susuki, Kristen 2 2022 A robust, interpolation-free and monotone finite volume scheme for diffusion equations on arbitrary quadrilateral meshes. Zbl 07768046 Wu, Xiaoxin; Pan, Kejia; Li, Jin; Yu, Yunlong; Yuan, Guangwei; Ren, Zhengyong 2 2022 Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization. Zbl 07769230 Kyburg, Felix E.; Rojas, Sergio; Calo, Victor M. 2 2022 Composite Anderson acceleration method with two window sizes and optimized damping. Zbl 07769249 Chen, Kewang; Vuik, Cornelis 2 2022 Deep learning-based reduced order models for the real-time simulation of the nonlinear dynamics of microstructures. Zbl 07769309 Fresca, Stefania; Gobat, Giorgio; Fedeli, Patrick; Frangi, Attilio; Manzoni, Andrea 2 2022 A nonperiodic Chebyshev spectral method avoiding penalization techniques for a class of nonlinear peridynamic models. Zbl 1527.65135 Lopez, Luciano; Pellegrino, Sabrina Francesca 2 2022 Calibration of elastoplastic constitutive model parameters from full-field data with automatic differentiation-based sensitivities. Zbl 07757766 Seidl, D. Thomas; Granzow, Brian N. 1 2022 A boundary density evolutionary topology optimization of continuum structures with smooth boundaries. Zbl 07757769 Li, Xueping; Qin, Chuhao; Wei, Peng; Su, Cheng 1 2022 A time-based arc-length like method to remove step size effects during fracture propagation. Zbl 07757770 Hageman, Tim; de Borst, René 1 2022 On a marching level-set method for extended discontinuous Galerkin methods for incompressible two-phase flows: application to two-dimensional settings. Zbl 07757771 Smuda, Martin; Kummer, Florian 1 2022 Stress constrained topology optimization simultaneously considering the uncertainty of load positions. Zbl 07757779 Oh, Min Kyu; Lee, Dok Soo; Yoo, Jeonghoon 1 2022 New benchmark problems for verification of the curve-to-surface contact algorithm based on the generalized Euler-Eytelwein problem. Zbl 1526.74052 Konyukhov, Alexander; Shala, Shqipron 1 2022 Length scale control schemes for bi-directional evolutionary structural optimization method. Zbl 07767245 Qiu, Wenke; Jin, Shaomeng; Xia, Liang; Shi, Tielin 1 2022 Proposal of a modified optimality criteria method for topology optimization analysis in 3-dimensional dynamic oscillation problems. Zbl 07767250 Kishida, Masayuki; Kurahashi, Takahiko 1 2022 Weak enforcement of interface continuity and generalized periodicity in high-order electromechanical problems. Zbl 07767252 Barceló-Mercader, Jordi; Codony, David; Fernández-Méndez, Sonia; Arias, Irene 1 2022 A stabilized parametric level-set XFEM topology optimization method for thermal-fluid problem. Zbl 07767253 Lin, Yi; Zhu, Weidong; Li, Jiangxiong; Ke, Yinglin 1 2022 A duality-based coupling of Cosserat crystal plasticity and phase field theories for modeling grain refinement. Zbl 07767254 Baek, Jonghyuk; Chen, Jiun-Shyan; Tupek, Michael; Beckwith, Frank; Fang, H. Eliot 1 2022 Beam elements with frictional contact in the material point method. Zbl 07767256 Kang, Jingu; Homel, Michael A.; Herbold, Eric B. 1 2022 Numerical scheme solving the temperature of the interface between gas and heterogeneous solid with phase change. Zbl 07767257 Cang, Yu; Hu, Yue; Wang, Lipo; Shen, Yongxing 1 2022 Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes. Zbl 07767258 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav 1 2022 Modeling fracture propagation in a rock-water-air system with the assumed enhanced strain method. Zbl 07767870 Liu, Fushen 1 2022 A simultaneous space-time discretization approach to the inverse dynamics of geometrically exact strings. Zbl 1527.74075 Ströhle, Timo; Betsch, Peter 1 2022 A numerical method based on pore-pressure cohesive zone modeling for simulation of debulking in resin-saturated composite prepregs. Zbl 07767886 Seon, Guillaume; Nikishkov, Yuri; Makeev, Andrew 1 2022 Scalable three-dimensional hybrid continuum-discrete multiscale modeling of granular media. Zbl 07767889 Liang, Weijian; Wu, Huanran; Zhao, Shiwei; Zhou, Wei; Zhao, Jidong 1 2022 Three-dimensional hybrid-Trefftz displacement elements for poroelastodynamic problems in saturated media. Zbl 07767891 Climent, Natalia; Moldovan, Ionut Dragos; Freitas, João António 1 2022 Improvement in 3D topology optimization with \(h\)-adaptive Refinement using the Cartesian grid finite element method. Zbl 07767898 Muñoz, David; Albelda, José; Ródenas, Juan José; Nadal, Enrique 1 2022 A general isogeometric finite element formulation for rotation-free shells with in-plane bending of embedded fibers. Zbl 07767902 Duong, Thang X.; Itskov, Mikhail; Sauer, Roger A. 1 2022 Gurson-Tvergaard-Needleman model guided fracture-resistant structural designs under finite deformations. Zbl 07767909 Zhang, Guodong; Khandelwal, Kapil 1 2022 A micromorphic filter for determining stress and deformation measures from direct numerical simulations of lower length scale behavior. Zbl 07768009 Miller, Nathan A.; Regueiro, Richard A.; Shahabi, Farhad; Bishop, Joseph E. 1 2022 Implementation of balancing domain decomposition method for parallel finite element analysis involving inactive elements. Zbl 07768012 Yusa, Yasunori; Kobayashi, Hiroaki; Murakami, Yuma; Okada, Hiroshi 1 2022 Quasistatic fracture using nonlinear-nonlocal elastostatics with explicit tangent stiffness matrix. Zbl 07768023 Diehl, Patrick; Lipton, Robert 1 2022 Finite strip method based on carrera unified formulation for the free vibration analysis of variable stiffness composite laminates. Zbl 07768025 Daraei, Behnam; Shojaee, Saeed; Hamzehei-Javaran, Saleh 1 2022 Uncertainty of the virtual image correlation method. Zbl 1527.94004 François, Marc Louis Maurice 1 2022 A parallel scalable domain decomposition preconditioner for elastic crack simulation using XFEM. Zbl 07768037 Tian, Wei; Huang, Jingjing; Jiang, Yi; Chen, Rongliang 1 2022 A parameter space approach for isogeometrical level set topology optimization. Zbl 07768040 Aminzadeh, Masoud; Tavakkoli, Seyed Mehdi 1 2022 Coupled peridynamic model for geometrically nonlinear deformation and fracture analysis of slender beam structures. Zbl 07768047 Zheng, Guojun; Li, Lili; Han, Fei; Xia, Yang; Shen, Guozhe; Hu, Ping 1 2022 A class of strain-displacement elements in upper bound limit analysis. Zbl 07768048 Makrodimopoulos, Athanasios 1 2022 3D simulation of complex fractures with a simple mesh. Zbl 07768049 Wu, Jie 1 2022 Novel solution framework for inverse problem considering interval uncertainty. Zbl 07769226 Tang, Jiachang; Mi, Chengji; Fu, Chunming; Yao, Qishui 1 2022 Bayesian calibration for large-scale fluid structure interaction problems under embedded/immersed boundary framework. Zbl 07769233 Cao, Shunxiang; Huang, Daniel Zhengyu 1 2022 Extension of the unsymmetric 8-node hexahedral solid element to hyper-elastic finite deformation analysis. Zbl 1528.74103 Ma, Ru-Xia; Cen, Song; Shang, Yan; Li, Chen-Feng 1 2022 A probabilistic data assimilation framework to reconstruct finite element error fields from sparse error estimates: application to sub-modeling. Zbl 07769244 Paul Rouse, James; Kerfriden, Pierre; Hamadi, Maxime 1 2022 Kernel-based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method. Zbl 07769251 Romor, Francesco; Tezzele, Marco; Lario, Andrea; Rozza, Gianluigi 1 2022 A posteriori error estimator for a multiscale hybrid mixed method for Darcy’s flows. Zbl 07769255 Batistela, Gustavo Alcalá; de Siqueira, Denise; Devloo, Philippe R. B.; Gomes, Sônia M. 1 2022 Spectral Chebyshev method coupled with a high order continuation for nonlinear bending and buckling analysis of functionally graded sandwich beams. Zbl 07769257 Mesmoudi, Said; Askour, Omar; Rammane, Mohammed; Bourihane, Oussama; Tri, Abdeljalil; Braikat, Bouazza 1 2022 An algorithm for generating microstructures of fiber-reinforced composites with long fibers. Zbl 1527.74083 Schneider, Matti 1 2022 A methodology to control numerical dissipation characteristics of velocity based time discontinuous Galerkin space-time finite element method. Zbl 07769287 Sharma, Vikas; Fujisawa, Kazunori; Murakami, Akira; Sasakawa, Shuto 1 2022 Second-order defeaturing estimator of manufacturing-induced porosity on structural elasticity. Zbl 07769298 Deng, Shiguang; Soderhjelm, Carl; Apelian, Diran; Suresh, Krishnan 1 2022 An incremental-secant mean-field homogenization model enhanced with a non-associated pressure-dependent plasticity model. Zbl 07769303 Calleja Vázquez, Juan Manuel; Wu, Ling; Van-Dung Nguyen; Noels, Ludovic 1 2022 Preconditioned least-squares Petrov-Galerkin reduced order models. Zbl 07769311 Lindsay, Payton; Fike, Jeffrey; Tezaur, Irina; Carlberg, Kevin 1 2022 ...and 1427 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 41,956 Authors 205 Liu, Gui-Rong 169 Wriggers, Peter 154 Dehghan Takht Fooladi, Mehdi 153 Rabczuk, Timon 148 Steinmann, Paul 145 Belytschko, Ted Bohdan 138 Oñate Ibáñez de Navarra, Eugenio 133 Liu, Wing Kam 128 Hughes, Thomas J. R. 105 Liew, Kim Meow 102 Wall, Wolfgang A. 97 Farhat, Charbel H. 96 Bordas, Stéphane Pierre Alain 94 Zhang, Chuanzeng 82 Reddy, Junuthula Narasimha 82 Tezduyar, Tayfun E. 81 Babuška, Ivo 81 Bazilevs, Yuri 79 Nguyen-Xuan, Hung 77 Li, Xiaolin 75 Ortiz, Michael 74 Chen, Wen 74 Miehe, Christian 73 de Borst, René 73 Huerta, Antonio 72 Idelsohn, Sergio Rodolfo 72 Paulino, Glaucio H. 72 Rozza, Gianluigi 72 Sigmund, Ole 71 Chen, Jiun-Shyan 71 Zheng, Hong 70 Ibrahimbegović, Adnan 68 Beirão da Veiga, Lourenço 68 Fish, Jacob 67 Ferri Aliabadi, Mohammad Hossien 66 Kaveh, Ali 66 Sladek, Jan 66 Sladek, Vladimir 65 Auricchio, Ferdinando 65 Codina, Ramon 65 Li, Guangyao 65 Oden, John Tinsley 63 Natarajan, Sundararajan 62 Chen, Yanping 62 Düster, Alexander 62 Song, Chongmin 61 Ladevèze, Pierre 61 Rank, Ernst 60 Wen, Pihua 60 Wohlmuth, Barbara I. 59 Chinesta, Francisco 59 Quarteroni, Alfio M. 57 Givoli, Dan 57 Larson, Mats G. 57 Lesnic, Daniel 56 Gao, Xiaowei 56 Guo, Xu 56 Morgan, Kenneth 56 Takizawa, Kenji 56 Zhang, Jianming 56 Zohdi, Tarek I. 55 de Lorenzis, Laura 55 Huang, Yunqing 55 Soize, Christian 55 Zhang, Hongwu 54 Bui, Tinh Quoc 54 Sluys, Lambertus Johannes 53 Calo, Victor Manuel 53 Chen, Jeng-Tzong 53 Han, Xu 53 Hansbo, Peter 53 Harari, Isaac 53 Power, Henry 53 Tamma, Kumar K. 52 Gu, Yan 52 Soares, Delfim jun. 52 Wick, Thomas 52 Zhuang, Xiaoying 51 Desmet, Wim 51 Löhner, Rainald 51 Park, Kwang-Chun 51 Trevelyan, Jon 50 Chung, Tsz Shun Eric 50 Nguyen-Thoi, Trung 50 Sukumar, Natarajan 49 Betsch, Peter 49 Burman, Erik 49 Carey, Graham Francis 49 Geers, Marc G. D. 49 Gil, Antonio J. 49 Mansur, Webe Joao 49 Schröder, Jörg 48 Díez, Pedro 48 Hsu, Ming-Chen 48 Li, Shaofan 48 Schillinger, Dominik 48 Zhang, Yongjie Jessica 47 Mukherjee, Subrata 47 Reese, Stefanie 47 Stein, Erwin ...and 41,856 more Authors all top 5 Cited in 726 Journals 7,622 Computer Methods in Applied Mechanics and Engineering 3,052 International Journal for Numerical Methods in Engineering 2,398 Journal of Computational Physics 2,384 Engineering Analysis with Boundary Elements 1,949 Computational Mechanics 1,132 Applied Mathematical Modelling 1,038 Computers & Mathematics with Applications 923 Journal of Computational and Applied Mathematics 762 Applied Mathematics and Computation 756 Computers and Fluids 715 Communications in Numerical Methods in Engineering 656 Acta Mechanica 647 European Journal of Mechanics. A. Solids 499 Journal of Scientific Computing 471 International Journal of Computational Methods 464 Applied Numerical Mathematics 435 SIAM Journal on Scientific Computing 388 International Journal for Numerical Methods in Fluids 337 Engineering Computations 317 Journal of the Mechanics and Physics of Solids 297 Mathematical Problems in Engineering 291 International Journal of Solids and Structures 269 Numerische Mathematik 264 Structural and Multidisciplinary Optimization 254 Meccanica 251 Numerical Methods for Partial Differential Equations 210 Journal of Fluid Mechanics 203 Mathematics of Computation 202 International Journal of Engineering Science 194 Mathematics and Computers in Simulation 194 Applied Mathematics and Mechanics. (English Edition) 194 International Journal of Computer Mathematics 190 Multibody System Dynamics 178 Archive of Applied Mechanics 177 Computational Geosciences 175 Archives of Computational Methods in Engineering 174 International Journal of Numerical Methods for Heat & Fluid Flow 173 Acta Mechanica Sinica 166 Mathematics and Mechanics of Solids 162 Computer Physics Communications 152 Inverse Problems in Science and Engineering 149 International Journal of Fracture 147 Advances in Computational Mathematics 145 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 140 Wave Motion 138 SIAM Journal on Numerical Analysis 138 International Journal of Computational Fluid Dynamics 137 International Journal for Numerical and Analytical Methods in Geomechanics 134 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 133 Communications in Computational Physics 130 International Journal for Numerical Methods in Biomedical Engineering 128 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 128 Numerical Algorithms 128 Nonlinear Dynamics 125 Communications in Nonlinear Science and Numerical Simulation 109 Mathematical and Computer Modelling 102 Computational and Applied Mathematics 102 Advances in Applied Mathematics and Mechanics 99 Journal of Elasticity 97 Computer Aided Geometric Design 96 Continuum Mechanics and Thermodynamics 94 Journal of Engineering Mathematics 92 BIT 89 COMPEL 82 Computing 82 International Journal of Structural Stability and Dynamics 80 Mathematical Methods in the Applied Sciences 78 Journal of Mathematical Analysis and Applications 78 Applied Mathematics Letters 76 International Journal of Plasticity 74 European Journal of Mechanics. B. Fluids 74 International Journal for Computational Methods in Engineering Science and Mechanics 74 SIAM/ASA Journal on Uncertainty Quantification 73 Optimization and Engineering 73 Journal of Computational Acoustics 72 International Journal of Heat and Mass Transfer 67 GAMM-Mitteilungen 64 Calcolo 64 Journal of Optimization Theory and Applications 60 Physics of Fluids 60 Engineering Optimization 59 ZAMP. Zeitschrift für angewandte Mathematik und Physik 58 Mechanics Research Communications 58 Computational Methods in Applied Mathematics 56 Linear Algebra and its Applications 55 Numerical Linear Algebra with Applications 55 AMM. Applied Mathematics and Mechanics. (English Edition) 54 Journal of Vibration and Control 54 Journal of Applied Mathematics 53 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 52 Advances in Engineering Software 45 Applicable Analysis 43 Abstract and Applied Analysis 43 Multiscale Modeling & Simulation 42 International Journal of Applied and Computational Mathematics 41 Ingenieur-Archiv 41 Comptes Rendus. Mathématique. Académie des Sciences, Paris 39 RAIRO. Modélisation Mathématique et Analyse Numérique 39 Computing and Visualization in Science 36 Inverse Problems ...and 626 more Journals all top 5 Cited in 62 Fields 21,083 Mechanics of deformable solids (74-XX) 19,170 Numerical analysis (65-XX) 9,065 Fluid mechanics (76-XX) 5,959 Partial differential equations (35-XX) 1,388 Classical thermodynamics, heat transfer (80-XX) 1,103 Operations research, mathematical programming (90-XX) 1,078 Biology and other natural sciences (92-XX) 1,038 Optics, electromagnetic theory (78-XX) 1,024 Calculus of variations and optimal control; optimization (49-XX) 963 Mechanics of particles and systems (70-XX) 763 Computer science (68-XX) 671 Geophysics (86-XX) 616 Ordinary differential equations (34-XX) 567 Statistical mechanics, structure of matter (82-XX) 514 Approximations and expansions (41-XX) 474 Statistics (62-XX) 455 Systems theory; control (93-XX) 427 Probability theory and stochastic processes (60-XX) 352 Integral equations (45-XX) 262 Dynamical systems and ergodic theory (37-XX) 224 Linear and multilinear algebra; matrix theory (15-XX) 147 Quantum theory (81-XX) 136 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 134 Information and communication theory, circuits (94-XX) 133 Real functions (26-XX) 121 Operator theory (47-XX) 113 Potential theory (31-XX) 101 Combinatorics (05-XX) 98 Harmonic analysis on Euclidean spaces (42-XX) 85 Special functions (33-XX) 81 Differential geometry (53-XX) 74 Integral transforms, operational calculus (44-XX) 55 Functions of a complex variable (30-XX) 54 Global analysis, analysis on manifolds (58-XX) 53 Functional analysis (46-XX) 47 Convex and discrete geometry (52-XX) 42 General and overarching topics; collections (00-XX) 41 History and biography (01-XX) 31 Difference and functional equations (39-XX) 25 Relativity and gravitational theory (83-XX) 23 Astronomy and astrophysics (85-XX) 21 Geometry (51-XX) 17 Number theory (11-XX) 16 Topological groups, Lie groups (22-XX) 14 Measure and integration (28-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Manifolds and cell complexes (57-XX) 10 Mathematics education (97-XX) 9 Algebraic geometry (14-XX) 7 Mathematical logic and foundations (03-XX) 4 General algebraic systems (08-XX) 4 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Sequences, series, summability (40-XX) 3 Abstract harmonic analysis (43-XX) 2 Category theory; homological algebra (18-XX) 2 General topology (54-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) Citations by Year