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: 10,613 Publications (since 1969) References Indexed: 10,269 Publications with 311,872 References. all top 5 Latest Issues 125, No. 24 (2024) 125, No. 23 (2024) 125, No. 22 (2024) 125, No. 21 (2024) 125, No. 20 (2024) 125, No. 18 (2024) 125, No. 17 (2024) 125, No. 16 (2024) 125, No. 15 (2024) 125, No. 14 (2024) 125, No. 13 (2024) 125, No. 12 (2024) 125, No. 11 (2024) 125, No. 10 (2024) 125, No. 9 (2024) 125, No. 8 (2024) 125, No. 7 (2024) 125, No. 6 (2024) 125, No. 5 (2024) 125, No. 4 (2024) 125, No. 3 (2024) 125, No. 2 (2024) 125, No. 1 (2024) 125 (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. 5 (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. 10 (2022) 123, No. 9 (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) 122, No. 24 (2021) 122, No. 23 (2021) 122, No. 22 (2021) 122, No. 21 (2021) 122, No. 20 (2021) 122, No. 19 (2021) 122, No. 18 (2021) 122, No. 17 (2021) 122, No. 16 (2021) 122, No. 15 (2021) 122, No. 14 (2021) 122, No. 13 (2021) 122, No. 12 (2021) 122, No. 11 (2021) 122, No. 10 (2021) 122, No. 9 (2021) 122, No. 8 (2021) 122, No. 7 (2021) 122, No. 6 (2021) 122, No. 5 (2021) 122, No. 4 (2021) 122, No. 3 (2021) 122, No. 2 (2021) 122, No. 1 (2021) 121, No. 24 (2020) 121, No. 23 (2020) 121, No. 22 (2020) 121, No. 21 (2020) ...and 1,248 more Volumes all top 5 Authors 117 Belytschko, Ted Bohdan 88 Zienkiewicz, Olgierd Cecil 78 Farhat, Charbel H. 56 de Borst, René 52 Oñate Ibáñez de Navarra, Eugenio 48 Fish, Jacob 48 Ortiz, Michael 44 Taylor, Robert Leroy 43 Wriggers, Peter 41 Liu, Wing Kam 38 Liu, Gui-Rong 38 Reddy, Junuthula Narasimha 36 Sukumar, Natarajan 35 Park, Kwang-Chun 34 Lewis, Roland W. 34 Owen, David Roger Jones 33 Bathe, Klaus-Jürgen 32 Ferri Aliabadi, Mohammad Hossien 32 Carey, Graham Francis 32 Steinmann, Paul 31 Sze, Kam-Yim 30 Huerta, Antonio 30 Idelsohn, Sergio Rodolfo 30 Liew, Kim Meow 30 Wall, Wolfgang A. 29 Babuška, Ivo 29 Chen, Jiun-Shyan 29 Cheung, Yau Kai 28 Krysl, Petr 27 Banerjee, Prasanta K. 27 Betsch, Peter 27 Cueto, Elias 27 Harari, Isaac 27 Paulino, Glaucio H. 27 Tortorelli, Daniel A. 26 Bordas, Stéphane Pierre Alain 26 Combescure, Alain 26 Song, Chongmin 25 Arora, Jasbir S. 25 Moitinho de Almeida, José Paulo 25 Saigal, Sunil 25 Schrefler, Bernhard A. 25 Shephard, Mark S. 25 Tamma, Kumar K. 25 Zabaras, Nicholas J. 24 Chinesta, Francisco 24 Kim, Yoon Young 24 Moës, Nicolas 24 Peraire, Jaime 23 Auricchio, Ferdinando 23 Díez, Pedro 23 Ibrahimbegović, Adnan 23 Lew, Adrian J. 23 Löhner, Rainald 23 Rabczuk, Timon 23 Terada, Kenjiro 22 Codina, Ramon 22 Crisfield, Michael A. 22 Leung, Andrew Yee-Tak 22 Mang, Herbert A. 22 Miehe, Christian 22 Morgan, Kenneth 22 Mukherjee, Subrata 22 Runesson, Kenneth 21 Hughes, Thomas J. R. 21 Sloan, Scott W. 21 Yagawa, Genki 20 Atluri, Satya N. 20 Cen, Song 20 Dolbow, John E. 20 Heinrich, Juan C. 20 Lee, Sung Won 20 Li, Chenfeng 20 Rixen, Daniel J. 20 Sigmund, Ole 20 Sluys, Lambertus Johannes 19 Felippa, Carlos A. 19 Feng, Yuntian 19 Kaveh, Ali 19 Lo, Sai-Huen 19 Oden, John Tinsley 19 Sladek, Jan 19 Sladek, Vladimir 19 Wagner, Werner 19 Williams, Frederic W. 18 Cook, Robert D. 18 Doblaré, Manuel 18 Fung, Tsz Chai 18 Geers, Marc G. D. 18 Givoli, Dan 18 Gravouil, Anthony 18 Li, Shaofan 18 Rodríguez-Ferran, Antonio 18 Simo, Juan Carlos 18 Spilker, Robert L. 18 Tezaur, Radek 18 Waisman, Haim 17 Areias, Pedro M. A. 17 Bettess, Peter 17 Chen, Wanji ...and 12,505 more Authors all top 5 Fields 7,370 Mechanics of deformable solids (74-XX) 4,073 Numerical analysis (65-XX) 1,734 Fluid mechanics (76-XX) 540 Partial differential equations (35-XX) 421 Classical thermodynamics, heat transfer (80-XX) 279 Mechanics of particles and systems (70-XX) 244 Calculus of variations and optimal control; optimization (49-XX) 231 Optics, electromagnetic theory (78-XX) 211 Operations research, mathematical programming (90-XX) 138 Computer science (68-XX) 126 Biology and other natural sciences (92-XX) 118 Geophysics (86-XX) 101 Statistics (62-XX) 86 Approximations and expansions (41-XX) 82 Ordinary differential equations (34-XX) 69 Statistical mechanics, structure of matter (82-XX) 65 Integral equations (45-XX) 60 Probability theory and stochastic processes (60-XX) 56 Systems theory; control (93-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 29 Combinatorics (05-XX) 25 Potential theory (31-XX) 24 History and biography (01-XX) 24 Dynamical systems and ergodic theory (37-XX) 20 Integral transforms, operational calculus (44-XX) 20 Information and communication theory, circuits (94-XX) 14 Differential geometry (53-XX) 12 General and overarching topics; collections (00-XX) 10 Functions of a complex variable (30-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Difference and functional equations (39-XX) 7 Real functions (26-XX) 7 Special functions (33-XX) 7 Quantum theory (81-XX) 6 Convex and discrete geometry (52-XX) 5 Measure and integration (28-XX) 5 Astronomy and astrophysics (85-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Geometry (51-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-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 General topology (54-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 8,959 Publications have been cited 139,936 times in 46,455 Documents Cited by ▼ Year ▼ Element-free Galerkin methods. Zbl 0796.73077 Belytschko, T.; Lu, Y. Y.; Gu, L. 1,805 1994 A finite element method for crack growth without remeshing. Zbl 0955.74066 Moës, Nicolas; Dolbow, John; Belytschko, Ted 1,512 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 1,140 2009 Elastic crack growth in finite elements with minimal remeshing. Zbl 0943.74061 Belytschko, T.; Black, T. 914 1999 The method of moving asymptotes - A new method for structural optimization. Zbl 0602.73091 Svanberg, Krister 883 1987 The partition of unity method. Zbl 0949.65117 Babuška, I.; Melenk, J. M. 860 1997 A simple error estimator and adaptive procedure for practical engineering analysis. Zbl 0602.73063 Zienkiewicz, O. C.; Zhu, J. Z. 672 1987 The superconvergent patch recovery and \(a\;posteriori\) error estimates. I: The recovery technique. Zbl 0769.73084 Zienkiewicz, O. C.; Zhu, J. Z. 634 1992 A class of mixed assumed strain methods and the method of incompatible modes. Zbl 0724.73222 Simo, J. C.; Rifai, M. S. 580 1990 Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014 Miehe, C.; Welschinger, F.; Hofacker, M. 577 2010 A stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1011.74081 Chen, Jiun-Shyan; Wu, Cheng-Tang; Yoon, Sangpil; You, Yang 560 2001 The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169 Fries, Thomas-Peter; Belytschko, Ted 539 2010 A-posteriori error estimates for the finite element method. Zbl 0396.65068 Babuška, Ivo; Rheinboldt, W. C. 417 1978 A method of finite element tearing and interconnecting and its parallel solution algorithm. Zbl 0758.65075 Farhat, Charbel; Roux, Francois-Xavier 415 1991 The superconvergent patch recovery and \(a\;posteriori\) error estimates. II: Error estimates and adaptivity. Zbl 0769.73085 Zienkiewicz, O. C.; Zhu, J. Z. 366 1992 CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604 Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André 361 2015 Arbitrary discontinuities in finite elements. Zbl 0981.74062 Belytschko, T.; Moës, N.; Usui, S.; Parimi, C. 344 2001 A point interpolation meshless method based on radial basis functions. Zbl 1098.74741 Wang, J. G.; Liu, G. R. 330 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. 330 1996 Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078 Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 327 1995 Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067 Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T. 309 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. 307 1996 Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. Zbl 0768.73082 Simo, J. C.; Armero, F. 307 1992 A point interpolation method for two-dimensional solids. Zbl 1050.74057 Liu, G. R.; Gu, Y. T. 306 2001 A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Zbl 0478.73049 Flanagan, D. P.; Belytschko, T. 284 1981 Rational approach for assumed stress finite elements. Zbl 0544.73095 Pian, T. H. H.; Sumihara, K. 278 1984 A self-adaptive coordinate transformation for efficient numerical evluation of general boundary element integrals. Zbl 0622.65014 Telles, J. C. F. 277 1987 Reduced integration technique in general analysis of plates and shells. Zbl 0253.73048 Zienkiewicz, O. C.; Taylor, R. L.; Too, J. M. 270 1971 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. 266 2004 Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703 Rabczuk, T.; Belytschko, T. 265 2004 Finite-deformation irreversible cohesive elements for three-dimensional crack propagation analysis. Zbl 0932.74067 Ortiz, M.; Pandolfi, A. 263 1999 Arbitrary branched and intersecting cracks with the extended finite element method. Zbl 0989.74066 Daux, Christophe; Moës, Nicolas; Dolbow, John; Sukumar, Natarajan; Belytschko, Ted 258 2000 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. 257 1985 Subdivision surfaces: A new paradigm for thin-shell finite element analysis. Zbl 0983.74063 Cirak, Fehmi; Ortiz, Michael; Schröder, Peter 256 2000 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053 Hughes, Thomas J. R. 255 1980 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 252 2001 Analysis of functionally graded plates. Zbl 0970.74041 Reddy, J. N. 251 2000 Filters in topology optimization. Zbl 0971.74062 Bourdin, Blaise 251 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. 247 2002 A Taylor-Galerkin method for convective transport problems. Zbl 0524.65071 Donea, Jean 245 1984 A new method for modelling cohesive cracks using finite elements. Zbl 1013.74074 Wells, G. N.; Sluys, L. J. 236 2001 Conforming polygonal finite elements. Zbl 1073.65563 Sukumar, N.; Tabarraei, A. 232 2004 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. 230 2011 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 225 2011 Theoretical aspects of the smoothed finite element method (SFEM). Zbl 1194.74432 Liu, G. R.; Nguyen, T. T.; Dai, K. Y.; Lam, K. Y. 220 2007 A non-conforming element for stress analysis. Zbl 0338.73041 Taylor, Robert L.; Beresford, Peter J.; Wilson, Edward L. 213 1976 High degree efficient symmetrical Gaussian quadrature rules for the triangle. Zbl 0589.65021 Dunavant, D. A. 211 1985 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. 201 2002 A corrected XFEM approximation without problems in blending elements. Zbl 1195.74173 Fries, Thomas-Peter 201 2008 Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019 De Borst, René; Mühlhaus, Hans-Bernd 196 1992 The boundary node method for potential problems. Zbl 0885.65124 Mukherjee, Yu Xie; Mukherjee, Subrata 194 1997 High-order extended finite element method for cracked domains. Zbl 1181.74136 Laborde, Patrick; Pommier, Julien; Renard, Yves; Salaün, Michel 189 2005 The natural element method in solid mechanics. Zbl 0940.74078 Sukumar, N.; Moran, B.; Belytschko, T. 188 1998 The dual boundary element method: Effective implementation for crack problems. Zbl 0825.73908 Portela, A.; Aliabadi, M. H.; Rooke, D. P. 186 1992 A beam finite element nonlinear theory with finite rotations. Zbl 0662.73049 Cardona, A.; Geradin, M. 183 1988 Construction of curvilinear co-ordinate systems and applications to mesh generation. Zbl 0271.65062 Gordon, William J.; Hall, Charles A. 182 1973 Topology optimization of continuum structures with local stress constraints. Zbl 0924.73158 Duysinx, P.; Bendsøe, M. P. 179 1998 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. 177 2005 Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics. Zbl 0332.73022 Lachat, J. C.; Watson, J. O. 174 1976 Filters in topology optimization based on Helmholtz-type differential equations. Zbl 1235.74258 Lazarov, B. S.; Sigmund, O. 170 2011 Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243 Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R. 169 2011 The coupling of the finite element method and boundary solution procedures. Zbl 0347.65048 Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 165 1977 A formulation of general shell elements - The use of mixed interpolation of tensorial components. Zbl 0585.73123 Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. 165 1986 Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662 Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup 165 2003 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. 159 2009 A unified stability analysis of meshless particle methods. Zbl 0972.74078 Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping 157 2000 Imposing Dirichlet boundary conditions with Nitsche’s method and spline-based finite elements. Zbl 1197.74178 Embar, Anand; Dolbow, John; Harari, Isaac 157 2010 Nonlinear model order reduction based on local reduced-order bases. Zbl 1352.65212 Amsallem, David; Zahr, Matthew J.; Farhat, Charbel 157 2012 Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081 Hughes, Thomas J. R.; Winget, James 156 1980 An alpha modification of Newmark’s method. Zbl 0441.73106 Wood, W. L.; Bossak, M.; Zienkiewicz, O. C. 155 1980 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 153 1999 Modelling crack growth by level sets in the extended finite element method. Zbl 1022.74049 Stolarska, M.; Chopp, D. L.; Moës, N.; Belytschko, T. 150 2001 Achievements and some unsolved problems of the finite element method. Zbl 0962.76056 Zienkiewicz, O. C. 150 2000 A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078 Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted 149 2006 A return mapping algorithm for plane stress elastoplasticity. Zbl 0585.73059 Simo, J. C.; Taylor, R. L. 148 1986 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. 146 2004 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 146 2017 High-order compact scheme for the steady stream-function vorticity equations. Zbl 0836.76065 Spotz, W. F.; Carey, G. F. 146 1995 Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056 Miehe, Christian 145 2002 A simple and efficient finite element for plate bending. Zbl 0363.73067 Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak 143 1977 Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods. Zbl 1146.74048 Arroyo, M.; Ortiz, M. 143 2006 An efficient finite element method for embedded interface problems. Zbl 1183.76803 Dolbow, John; Harari, Isaac 142 2009 A study of three-node triangular plate bending elements. Zbl 0463.73071 Batoz, Jean-Louis; Bathe, Klaus-Jürgen; Ho, Lee-Wing 142 1980 Convergence, adaptive refinement, and scaling in 1D peridynamics. Zbl 1156.74399 Bobaru, Florin; Yang, Mijia; Alves, Leonardo Frota; Silling, Stewart A.; Askari, Ebrahim; Xu, Jifeng 141 2009 Moving-least-squares-particle hydrodynamics. I: Consistency and stability. Zbl 0951.76074 Dilts, Gary A. 140 1999 Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Zbl 0585.73057 Ortiz, M.; Popov, E. P. 139 1985 On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122 Chessa, Jack; Wang, Hongwu; Belytschko, Ted 137 2003 Shear deformable shell elements for large strains and rotations. Zbl 0892.73054 Bischoff, M.; Ramm, E. 137 1997 Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Zbl 0964.76071 Bonet, J.; Kulasegaram, S. 137 2000 Nonlinear version of stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1098.74732 Chen, Jiun-Shyan; Yoon, Sangpil; Wu, Cheng-Tang 136 2002 EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. Zbl 0772.73071 Andelfinger, U.; Ramm, E. 136 1993 Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. I: Fundamentals. II: Numerical simulation. Zbl 0888.73018 Oliver, J. 134 1996 An analysis of a new class of intergration algorithms for elastoplastic constitutive relations. Zbl 0585.73058 Ortiz, M.; Simo, J. C. 134 1986 On the use of isoparametric finite elements in linear fracture mechanics. Zbl 0321.73067 Barsoum, Roshdy S. 132 1976 A phase-field model for cohesive fracture. Zbl 1352.74029 Verhoosel, Clemens V.; De Borst, René 131 2013 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. 130 1976 A large deformation frictional contact formulation using NURBS-based isogeometric analysis. Zbl 1242.74104 De Lorenzis, L.; Temizer, Ị.; Wriggers, P.; Zavarise, G. 129 2011 The generalized finite element method: An example of its implementation and illustration of its performance. Zbl 0955.65080 Strouboulis, T.; Copps, K.; Babuška, I. 128 2000 Finite element formulations for large deformation dynamic analysis. Zbl 0304.73060 Bathe, Klaus-Jürgen; Ramm, Ekkehard; Wilson, Edward L. 128 1975 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. 128 1977 Mixed formulation of physics-informed neural networks for thermo-mechanically coupled systems and heterogeneous domains. Zbl 1548.74976 Harandi, Ali; Moeineddin, Ahmad; Kaliske, Michael; Reese, Stefanie; Rezaei, Shahed 5 2024 Stress-hybrid virtual element method on quadrilateral meshes for compressible and nearly-incompressible linear elasticity. Zbl 07878896 Chen, Alvin; Sukumar, N. 4 2024 Topology optimization of stability-constrained structures with simple/multiple eigenvalues. Zbl 07878897 Zhang, Guodong; Khandelwal, Kapil; Guo, Tong 3 2024 Imposing different boundary conditions for thermal computational homogenization problems with FFT- and tensor-train-based Green’s operator methods. Zbl 1541.74094 Risthaus, Lennart; Schneider, Matti 3 2024 A fully coupled regularized mortar-type finite element approach for embedding one-dimensional fibers into three-dimensional fluid flow. Zbl 07845209 Hagmeyer, Nora; Mayr, Matthias; Popp, Alexander 3 2024 NN-mCRE: a modified constitutive relation error framework for unsupervised learning of nonlinear state laws with physics-augmented neural networks. Zbl 1548.74027 Benady, Antoine; Baranger, Emmanuel; Chamoin, Ludovic 3 2024 AI-enhanced iterative solvers for accelerating the solution of large-scale parametrized systems. Zbl 1532.65122 Nikolopoulos, Stefanos; Kalogeris, Ioannis; Stavroulakis, George; Papadopoulos, Vissarion 3 2024 MPMICE: a hybrid MPM-CFD model for simulating coupled problems in porous media. Application to earthquake-induced submarine landslides. Zbl 1548.76217 Quoc Anh Tran; Grimstad, Gustav; Ghoreishian Amiri, Seyed Ali 2 2024 A co-rotational virtual element method for 2D elasticity and plasticity. Zbl 07845178 Yaw, Louie L. 2 2024 An enriched virtual element method for 2D-3C generalized membrane shell model on surface. Zbl 1546.65121 Yang, Qian; Shen, Xiaoqin; Zhao, Jikun; Cheng, Yumin 2 2024 Design sensitivity analysis of modal frequencies of elastic structures submerged in an infinite fluid domain. Zbl 07867183 Zheng, Chang-Jun; Han, Meng-Wei; Chen, Hong-Yong; Wang, Shuai; Bi, Chuan-Xing 2 2024 A multiscale preconditioner for crack evolution in porous microstructures: accelerating phase-field methods. Zbl 07901013 Li, Kangan; Mehmani, Yashar 2 2024 Body-fitted topology optimization via integer linear programming using surface capturing techniques. Zbl 07901029 Soares da Costa Azevêdo, Anderson; Li, Hao; Ishida, Naouyuki; Siqueira, Lucas Oliveira; Cortez, Rômulo Luz; Nelli Silva, Emílio Carlos; Nishiwaki, Shinji; Picelli, Renato 2 2024 On sparse regression, \(L_p\)-regularization, and automated model discovery. Zbl 1546.74086 McCulloch, Jeremy A.; St. Pierre, Skyler R.; Linka, Kevin; Kuhl, Ellen 2 2024 Transfer learning of recurrent neural network-based plasticity models. Zbl 1534.74012 Heidenreich, Julian N.; Bonatti, Colin; Mohr, Dirk 2 2024 Crack phase-field enhanced finite cover method for dynamic fracture at finite strain. Zbl 1534.74084 Han, Jike; Hirayama, Daigo; Shintaku, Yuichi; Moriguchi, Shuji; Terada, Kenjiro 2 2024 Analysis-aware defeaturing of complex geometries with Neumann features. Zbl 07878893 Antolín, Pablo; Chanon, Ondine 1 2024 Multiscale formulation for saturated porous media preserving the representative volume element size objectivity. Zbl 1548.74185 Anonis, Reinaldo A.; Mroginski, Javier L.; Sánchez, Pablo J. 1 2024 Bound-preserving discontinuous Galerkin methods for compressible two-phase flows in porous media. Zbl 07878907 Sarraf Joshaghani, Mohammad; Riviere, Beatrice 1 2024 Neuro-PINN: a hybrid framework for efficient nonlinear projection equation solutions. Zbl 07878909 Wu, Dawen; Lisser, Abdel 1 2024 An implicit-explicit time discretization for elastic wave propagation problems in plates. Zbl 1548.74375 Methenni, Hajer; Imperiale, Alexandre; Imperiale, Sébastien 1 2024 A hybrid Lagrangian-Eulerian particle finite element method for free-surface and fluid-structure interaction problems. Zbl 1548.76057 Fu, Cheng; Cremonesi, Massimiliano; Perego, Umberto 1 2024 Contact framework for total Lagrangian smoothed particle hydrodynamics using an adaptive hybrid kernel scheme. Zbl 1549.76140 Wiragunarsa, I Made; Zuhal, Lavi Rizki; Dirgantara, Tatacipta; Putra, Ichsan Setya 1 2024 Element-free Galerkin method for a fractional-order boundary value problem. Zbl 07845205 Rajan, Akshay; Desai, Shubham; Sidhardh, Sai 1 2024 Uncertainty-oriented thermoelastic topology optimization with stress constraint. Zbl 1548.74521 Cheng, Changzheng; Yang, Bo; Wang, Xuan; Lee, Ikjin 1 2024 Assumed strain methods in micromechanics, laminate composite voxels and level sets. Zbl 07901012 Lendvai, Jonas; Schneider, Matti 1 2024 A stable formulation of correspondence-based peridynamics with a computational structure of a method using nodal integration. Zbl 07901014 Wang, Jiarui; Behzadinasab, Masoud; Li, Weican; Bazilevs, Yuri 1 2024 A nonlinear finite viscoelastic formulation relative to the viscous intermediate configuration applied to plants. Zbl 1546.74014 Platen, Jakob; Pauls, Bennett; Anantheswar, Atul; Lautenschläger, Thea; Neinhuis, Christoph; Kaliske, Michael 1 2024 A multiscale anisotropic polymer network model coupled with phase field fracture. Zbl 07901032 Arunachala, Prajwal Kammardi; Abrari Vajari, Sina; Neuner, Matthias; Sim, Jay Sejin; Zhao, Renee; Linder, Christian 1 2024 Asymptotic homogenization of phase-field fracture model: an efficient multiscale finite element framework for anisotropic fracture. Zbl 1546.74074 Ma, Pu-Song; Liu, Xing-Cheng; Luo, Xue-Ling; Li, Shaofan; Zhang, Lu-Wen 1 2024 A first-order hyperbolic arbitrary Lagrangian Eulerian conservation formulation for non-linear solid dynamics. Zbl 07898464 Di Giusto, Thomas B. J.; Lee, Chun Hean; Gil, Antonio J.; Bonet, Javier; Giacomini, Matteo 1 2024 Stabilization-free virtual element method for 2D elastoplastic problems. Zbl 07898466 Xu, Bing-Bing; Wang, Yi-Fan; Wriggers, Peter 1 2024 A FEM/DEM adaptive remeshing strategy for brittle elastic failure initiation and propagation. Zbl 07898473 Yahya, Farouk; Hubert, Cédric; Leconte, Nicolas; Dubar, Laurent 1 2024 Simultaneous analysis of continuously embedded Reissner-Mindlin shells in 3D bulk domains. Zbl 1545.65434 Kaiser, Michael Wolfgang; Fries, Thomas-Peter 1 2024 An analysis of high order FEM and IGA for explicit dynamics: mass lumping and immersed boundaries. Zbl 07898478 Radtke, Lars; Torre, Michele; Hughes, Thomas J. R.; Düster, Alexander; Sangalli, Giancarlo; Reali, Alessandro 1 2024 Hybrid equilibrium formulation with adaptive element side orientation for cohesive crack prediction. Zbl 1547.74073 Parrinello, Francesco 1 2024 An efficient solid shell material point method for large deformation of thin structures. Zbl 1534.74085 Li, Jiasheng; Ni, Ruichen; Zeng, Zhixin; Zhang, Xiong 1 2024 Single-field identification of inclusions and cavities in an elastic medium. Zbl 1532.74065 Rabinovich, Daniel; Givoli, Dan; Turkel, Eli 1 2024 ADER discontinuous Galerkin material point method. Zbl 1533.65174 Lakiss, Alaa; Heuzé, Thomas; Tannous, Mikhael; Stainier, Laurent 1 2024 Penalty hexahedral element formulation for flexoelectric solids based on consistent couple stress theory. Zbl 1537.74347 Shang, Yan; Deng, Zhuo; Cen, Song; Li, Chen-Feng 1 2024 Reduced model for fracture of geometrically exact planar beam: non-local variational formulation, ED-FEM approximation and operator split solution. Zbl 1534.74066 Ibrahimbegovic, Adnan; Mejia-Nava, Rosa-Adela; Ljukovac, Suljo 1 2024 Product decomposed multi-material isogeometric topology optimization with explicit NURBS element stiffness computation. Zbl 1534.74055 Yang, Aodi; Wang, Shuting; Luo, Nianmeng; Yuan, Xing; Xiong, Tifan; Xie, Xianda 1 2024 Structure-preserving invariant interpolation schemes for invertible second-order tensors. Zbl 07801054 Satheesh, Abhiroop; Schmidt, Christoph P.; Wall, Wolfgang A.; Meier, Christoph 1 2024 Transient computational homogenization of heterogeneous poroelastic media with local resonances. Zbl 07954073 Liupekevicius, Renan; van Dommelen, Johannes A. W.; Geers, Marc G. D.; Kouznetsova, Varvara G. 1 2024 A diffusive-discrete crack transition scheme for ductile fracture at finite strain. Zbl 07954084 Han, Jike; Shintaku, Yuichi; Moriguchi, Shuji; Terada, Kenjiro 1 2024 Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials. Zbl 07769192 Schneider, Matti; Wicht, Daniel 9 2023 Enhanced physics-informed neural networks for hyperelasticity. Zbl 1531.68071 Abueidda, Diab W.; Koric, Seid; Guleryuz, Erman; Sobh, Nahil A. 8 2023 A blended shifted-fracture/phase-field framework for sharp/diffuse crack modeling. Zbl 1534.74065 Li, Kangan; Rodríguez-Ferran, Antonio; Scovazzi, Guglielmo 7 2023 Deep learning phase-field model for brittle fractures. Zbl 1534.74061 Ghaffari Motlagh, Yousef; Jimack, Peter K.; de Borst, René 7 2023 On the effectiveness of the Moulinec-Suquet discretization for composite materials. Zbl 1531.74083 Schneider, Matti 6 2023 A total Lagrangian, objective and intrinsically locking-free Petrov-Galerkin \(\mathrm{SE}(3)\) Cosserat rod finite element formulation. Zbl 1533.74079 Harsch, Jonas; Sailer, Simon; Eugster, Simon R. 6 2023 Extending CAS elements to remove shear and membrane locking from quadratic NURBS-based discretizations of linear plane Timoshenko rods. Zbl 1542.74074 Golestanian, Mahmoud; Casquero, Hugo 6 2023 Consistent splitting schemes for incompressible viscoelastic flow problems. Zbl 1534.76058 Pacheco, Douglas R. Q.; Castillo, Ernesto 6 2023 On the use of graph neural networks and shape-function-based gradient computation in the deep energy method. Zbl 07769189 He, Junyan; Abueidda, Diab; Koric, Seid; Jasiuk, Iwona 6 2023 The simple shifted fracture method. Zbl 1533.74072 Li, Kangan; Rodríguez-Ferran, Antonio; Scovazzi, Guglielmo 5 2023 Time-domain scaled boundary perfectly matched layer for elastic wave propagation. Zbl 1542.74082 Zhang, Guoliang; Zhao, Mi; Du, Xiuli; Zhang, Junqi 5 2023 A comparative study on different neural network architectures to model inelasticity. Zbl 1537.74024 Rosenkranz, Max; Kalina, Karl A.; Brummund, Jörg; Kästner, Markus 5 2023 Automatic generation of interpretable hyperelastic material models by symbolic regression. Zbl 1532.74014 Abdusalamov, Rasul; Hillgärtner, Markus; Itskov, Mikhail 5 2023 Hourglassing- and locking-free mesh distortion insensitive Petrov-Galerkin EAS element for large deformation solid mechanics. Zbl 1532.74127 Pfefferkorn, Robin; Betsch, Peter 5 2023 A transition scheme from diffusive to discrete crack topologies at finite strain during the course of a staggered iterative procedure. Zbl 1531.74067 Han, Jike; Shintaku, Yuichi; Moriguchi, Shuji; Terada, Kenjiro 5 2023 Reduced order mathematical homogenization method for polycrystalline microstructure with microstructurally small cracks. Zbl 1530.74065 Xia, Damin; Oskay, Caglar 4 2023 Construction of generalized shape functions over arbitrary polytopes based on scaled boundary finite element method’s solution of Poisson’s equation. Zbl 1542.74070 Xiao, B.; Natarajan, S.; Birk, C.; Ooi, E. H.; Song, C.; Ooi, E. T. 4 2023 Embedded Trefftz discontinuous Galerkin methods. Zbl 07772283 Lehrenfeld, Christoph; Stocker, Paul 4 2023 Fluid flow and mass transport in fractured media with curved fractures and varying apertures: a 3D modeling approach. Zbl 1549.76213 Wang, Luyu; Yin, Zhen-Yu 4 2023 A micromechanics-based recurrent neural networks model for path-dependent cyclic deformation of short fiber composites. Zbl 1549.74482 Friemann, J.; Dashtbozorg, B.; Fagerström, M.; Mirkhalaf, S. M. 4 2023 Distance minimizing based data-driven computational method for the finite deformation of hyperelastic materials. Zbl 1531.65262 Zheng, Zhangcheng; Zhang, Zijian; Ye, Hongfei; Zhang, Hongwu; Zheng, Yonggang 4 2023 Variational schemes and mixed finite elements for large strain isotropic elasticity in principal stretches: closed-form tangent eigensystems, convexity conditions, and stabilised elasticity. Zbl 1542.74068 Poya, Roman; Ortigosa, Rogelio; Gil, Antonio J. 4 2023 A nonlocal energy-informed neural network for isotropic elastic solids with cracks under thermomechanical loads. Zbl 1539.74562 Yu, Xiang-Long; Zhou, Xiao-Ping 4 2023 Multiscale modeling of linear elastic heterogeneous structures via localized model order reduction. Zbl 1547.65189 Diercks, Philipp; Veroy, Karen; Robens-Radermacher, Annika; Unger, Jörg F. 4 2023 A simple Eulerian-Lagrangian weakly compressible smoothed particle hydrodynamics method for fluid flow and heat transfer. Zbl 1534.76062 Yoo, Hee Sang; Jo, Young Beom; Kim, Jin Woo; Kim, Eung Soo; Choi, Tae Soo 4 2023 A multifidelity approach coupling parameter space reduction and nonintrusive POD with application to structural optimization of passenger ship hulls. Zbl 1539.41005 Tezzele, Marco; Fabris, Lorenzo; Sidari, Matteo; Sicchiero, Mauro; Rozza, Gianluigi 4 2023 Time-continuous and time-discontinuous space-time finite elements for advection-diffusion problems. Zbl 1535.65209 von Danwitz, Max; Voulis, Igor; Hosters, Norbert; Behr, Marek 3 2023 Dirichlet-type absorbing boundary conditions for peridynamic scalar waves in two-dimensional viscous media. Zbl 1542.74040 Hermann, Alexander; Shojaei, Arman; Seleson, Pablo; Cyron, Christian J.; Silling, Stewart A. 3 2023 Topology optimization of thermo-elastic structures with temperature-dependent material properties under large temperature gradient. Zbl 1531.74063 Tang, Lei; Gao, Tong; Zhang, Weitao; Zeng, Jun; Zhang, Weihong 3 2023 A strategy for avoiding spurious localized buckling modes in topology optimization. Zbl 1542.74054 Ferrari, Federico; Sigmund, Ole 3 2023 Non-linear space-time elasticity. Zbl 1532.74015 Schuß, S.; Glas, S.; Hesch, C. 3 2023 A non-uniform rational B-splines enhanced finite element formulation based on the scaled boundary parameterization for the analysis of heterogeneous solids. Zbl 1532.74133 Reichel, Rainer; Klinkel, Sven 3 2023 Data-physics driven reduced order homogenization. Zbl 1535.74595 Fish, Jacob; Yu, Yang 3 2023 An efficient and physically consistent numerical method for the Maxwell-Stefan-Darcy model of two-phase flow in porous media. Zbl 07769175 Kou, Jisheng; Chen, Huangxin; Du, ShiGui; Sun, Shuyu 3 2023 Machine learning based asymptotic homogenization and localization: predictions of key local behaviors of multiscale configurations bearing microstructural varieties. Zbl 1534.74058 Zhou, Zhengcheng; Zhu, Yichao; Guo, Xu 3 2023 An asynchronous variational integrator for the phase field approach to dynamic fracture. Zbl 1537.74345 Niu, Zongwu; Ziaei-Rad, Vahid; Wu, Zongyuan; Shen, Yongxing 3 2023 Analysis and mitigation of spatial integration errors for the material point method. Zbl 1530.74078 Baumgarten, Aaron S.; Kamrin, Ken 3 2023 An energy stable, conservative and bounds-preserving numerical method for thermodynamically consistent modeling of incompressible two-phase flow in porous media with rock compressibility. Zbl 1532.65053 Kou, Jisheng; Wang, Xiuhua; Chen, Huangxin; Sun, Shuyu 3 2023 Computation of eigenvalues of a real, symmetric \(3 \times 3\) matrix with particular reference to the pernicious case of two nearly equal eigenvalues. Zbl 1536.65039 Harari, Isaac; Albocher, Uri 3 2023 An explicit phase field material point method for modeling dynamic fracture problems. Zbl 1530.74071 Zeng, Zhixin; Ni, Ruichen; Zhang, Xiong; Liu, Yan 2 2023 A novel univariate dimension-reduction based interval finite element method for static response prediction of uncertain structures. Zbl 07772228 Zhao, Heng; Li, Feng; Xu, Qianhui; Pei, Chunyan 2 2023 Spatial and temporal constraints of the cohesive modeling: a unified criterion for fluid-driven fracture. Zbl 1533.74074 Wang, Quan; Yu, Hao; Xu, Wenlong; Lyu, ChengSi; Zhang, Jianing; Micheal, Marembo; Wu, HengAn 2 2023 Stress-constrained topology optimization of structures subjected to nonproportional loading. Zbl 1532.74105 Granlund, Gunnar; Wallin, Mathias; Tortorelli, Daniel; Watts, Seth 2 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 2 2023 Accelerated offline setup of homogenized microscopic model for multi-scale analyses using neural network with knowledge transfer. Zbl 1546.74080 Yuan, Zhongbo; Biswas, Raja; Poh, Leong Hien 2 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. 2 2023 A face-centred finite volume method for high-contrast Stokes interface problems. Zbl 07772286 Sevilla, Ruben; Duretz, Thibault 2 2023 Three optimal families of three-sub-step dissipative implicit integration algorithms with either second, third, or fourth-order accuracy for second-order nonlinear dynamics. Zbl 07772287 Li, Jinze; Yu, Kaiping; Zhao, Rui; Fang, Yong 2 2023 A Robin-Neumann scheme with quasi-Newton acceleration for partitioned fluid-structure interaction. Zbl 1547.74076 Spenke, Thomas; Make, Michel; Hosters, Norbert 2 2023 Generalized-\(\alpha\) scheme in the PFEM for velocity-pressure and displacement-pressure formulations of the incompressible Navier-Stokes equations. Zbl 1534.76049 Fernández, Eduardo; Février, Simon; Lacroix, Martin; Boman, Romain; Ponthot, Jean-Philippe 2 2023 Computational coupled large-deformation periporomechanics for dynamic failure and fracturing in variably saturated porous media. Zbl 1549.74211 Menon, Shashank; Song, Xiaoyu 2 2023 On the limitations of low-rank approximations in contact mechanics problems. Zbl 1534.74045 Kollepara, Kiran Sagar; Navarro-Jiménez, José M.; Le Guennec, Yves; Silva, Luisa; Aguado, José V. 2 2023 Curing spurious magneto-mechanical coupling in soft non-magnetic materials. Zbl 1534.74022 Rambausek, Matthias; Schöberl, Joachim 2 2023 A stabilized mixed three-field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics. Zbl 1528.74100 Castañar, Inocencio; Codina, Ramon; Baiges, Joan 2 2023 Extended B-spline-based implicit material point method enhanced by F-bar projection method to suppress pressure oscillation. Zbl 1530.74080 Sugai, Riichi; Han, Jike; Yamaguchi, Yuya; Moriguchi, Shuji; Terada, Kenjiro 2 2023 ...and 1418 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 47,361 Authors 222 Liu, Gui-Rong 181 Wriggers, Peter 171 Dehghan Takht Fooladi, Mehdi 171 Rabczuk, Timon 161 Steinmann, Paul 148 Oñate Ibáñez de Navarra, Eugenio 147 Belytschko, Ted Bohdan 137 Liu, Wing Kam 135 Hughes, Thomas J. 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D. 55 Löhner, Rainald 55 Schillinger, Dominik 55 Soares, Delfim jun. 55 Trevelyan, Jon 54 Hansbo, Peter 54 Nguyen-Thoi, Trung 53 Bonet, Javier 53 Burman, Erik 53 Power, Henry ...and 47,261 more Authors all top 5 Cited in 763 Journals 8,354 Computer Methods in Applied Mechanics and Engineering 4,519 International Journal for Numerical Methods in Engineering 2,769 Journal of Computational Physics 2,688 Engineering Analysis with Boundary Elements 2,080 Computational Mechanics 1,227 Applied Mathematical Modelling 1,185 Computers & Mathematics with Applications 1,030 Journal of Computational and Applied Mathematics 806 Computers and Fluids 787 Applied Mathematics and Computation 717 European Journal of Mechanics. A. 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