International Journal for Numerical Methods in Engineering Short Title: Int. J. Numer. Methods Eng. Publisher: Wiley, Chichester ISSN: 0029-5981; 1097-0207/e Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207/issues Documents Indexed: 8,648 Publications (since 1969) References Indexed: 8,278 Publications with 214,621 References. all top 5 Latest Issues 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) 104, No. 1 (2015) 103, No. 13 (2015) 103, No. 12 (2015) 103, No. 11 (2015) 103, No. 10 (2015) 103, No. 9 (2015) 103, No. 8 (2015) 103, No. 7 (2015) 103, No. 6 (2015) 103, No. 5 (2015) 103, No. 4 (2015) 103, No. 3 (2015) 103, No. 2 (2015) 103, No. 1 (2015) 102, No. 13 (2015) 102, No. 12 (2015) 102, No. 11 (2015) 102, No. 10 (2015) 102, No. 9 (2015) 102, No. 8 (2015) 102, No. 7 (2015) 102, No. 6 (2015) 102, No. 5 (2015) 102, No. 3-4 (2015) 102, No. 2 (2015) 102, No. 1 (2015) 101, No. 13 (2015) 101, No. 12 (2015) 101, No. 11 (2015) 101, No. 10 (2015) 101, No. 9 (2015) 101, No. 8 (2015) 101, No. 7 (2015) 101, No. 6 (2015) 101, No. 5 (2015) 101, No. 4 (2015) 101, No. 3 (2015) 101, No. 2 (2015) 101, No. 1 (2015) 100, No. 13 (2014) 100, No. 12 (2014) 100, No. 11 (2014) 100, No. 10 (2014) 100, No. 9 (2014) 100, No. 8 (2014) 100, No. 7 (2014) 100, No. 6 (2014) ...and 963 more Volumes all top 5 Authors 116 Belytschko, Ted Bohdan 88 Zienkiewicz, Olgierd Cecil 63 Farhat, Charbel H. 50 Oñate Ibáñez de Navarra, Eugenio 47 Ortiz, Michael 44 Taylor, Robert Leroy 41 Liu, Wing Kam 37 Wriggers, Peter 35 de Borst, René 34 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 31 Reddy, Junuthula Narasimha 30 Liew, Kim Meow 29 Babuška, Ivo 27 Banerjee, Prasanta K. 27 Sze, Kam-Yim 25 Arora, Jasbir S. 25 Chen, Jiun-Shyan 25 Idelsohn, Sergio Rodolfo 25 Saigal, Sunil 25 Shephard, Mark S. 25 Zabaras, Nicholas J. 24 Combescure, Alain 24 Huerta, Antonio 24 Schrefler, Bernhard A. 23 Harari, Isaac 23 Kim, Yoon Young 23 Paulino, Glaucio H. 23 Sukumar, Natarajan 23 Tamma, Kumar K. 22 Moës, Nicolas 21 Krysl, Petr 21 Mukherjee, Subrata 21 Steinmann, Paul 20 Heinrich, Juan C. 20 Ibrahimbegović, Adnan 20 Leung, Andrew Yee-Tak 20 Mang, Herbert A. 20 Miehe, Christian 20 Yagawa, Genki 19 Hughes, Thomas J. R. 19 Kaveh, Ali 19 Oden, John Tinsley 19 Song, Chongmin 19 Tortorelli, Daniel A. 19 Williams, Frederic W. 18 Cook, Robert D. 18 Cueto, Elias 18 Doblaré, Manuel 18 Fung, Tsz Chai 18 Löhner, Rainald 18 Simo, Juan Carlos 18 Sladek, Jan 18 Sladek, Vladimir 18 Sloan, Scott W. 18 Spilker, Robert L. 18 Wagner, Werner 18 Wall, Wolfgang A. 17 Auricchio, Ferdinando 17 Bettess, Peter 17 Bordas, Stéphane Pierre Alain 17 Dolbow, John E. 17 Felippa, Carlos A. 17 Gray, Leonard J. 17 Lew, Adrian J. 17 Prathap, Gangan 17 Rabczuk, Timon 17 Rixen, Daniel J. 17 Tezaur, Radek 16 Areias, Pedro M. A. 16 Codina, Ramon 16 Gravouil, Anthony 16 Perić, Djordje 16 Runesson, Kenneth 16 Surana, Karan S. 15 Chen, Wanji 15 Givoli, Dan 15 Laursen, Tod A. 15 Moitinho de Almeida, José Paulo 15 Rank, Ernst 15 Tabarrok, Behrouz 15 Tesar, Alexander 14 Abel, John F. 14 Borouchaki, Houman 14 Chenot, Jean-Loup 14 Gallagher, Richard Hugo 14 Geers, Marc G. D. 14 Haftka, Raphael T. 14 Kikuchi, Noboru 14 Li, Shaofan 14 Li, Xikui 14 Nithiarasu, Perumal 14 Pian, Theodore Hsueh-huang 14 Réthoré, Julien 14 Sluys, Lambertus Johannes ...and 9,316 more Authors all top 5 Fields 5,960 Mechanics of deformable solids (74-XX) 2,934 Numerical analysis (65-XX) 1,462 Fluid mechanics (76-XX) 474 Partial differential equations (35-XX) 385 Classical thermodynamics, heat transfer (80-XX) 234 Mechanics of particles and systems (70-XX) 205 Optics, electromagnetic theory (78-XX) 165 Calculus of variations and optimal control; optimization (49-XX) 140 Operations research, mathematical programming (90-XX) 108 Geophysics (86-XX) 108 Biology and other natural sciences (92-XX) 84 Computer science (68-XX) 77 Ordinary differential equations (34-XX) 72 Approximations and expansions (41-XX) 60 Integral equations (45-XX) 59 Statistical mechanics, structure of matter (82-XX) 43 Systems theory; control (93-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 34 Statistics (62-XX) 26 Combinatorics (05-XX) 24 Potential theory (31-XX) 23 History and biography (01-XX) 21 Probability theory and stochastic processes (60-XX) 20 Integral transforms, operational calculus (44-XX) 16 Dynamical systems and ergodic theory (37-XX) 12 Information and communication theory, circuits (94-XX) 11 Differential geometry (53-XX) 10 Functions of a complex variable (30-XX) 8 General and overarching topics; collections (00-XX) 8 Difference and functional equations (39-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Special functions (33-XX) 5 Real functions (26-XX) 5 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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-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 7,333 Publications have been cited 106,784 times in 36,944 Documents Cited by ▼ Year ▼ Element-free Galerkin methods. Zbl 0796.73077Belytschko, T.; Lu, Y. Y.; Gu, L. 1,538 1994 A finite element method for crack growth without remeshing. Zbl 0955.74066Moës, Nicolas; Dolbow, John; Belytschko, Ted 1,169 1999 Gmsh: a 3-D finite element mesh generator with built-in pre- and post-processing facilities. Zbl 1176.74181Geuzaine, Christophe; Remacle, Jean-François 762 2009 Elastic crack growth in finite elements with minimal remeshing. Zbl 0943.74061Belytschko, T.; Black, T. 744 1999 The partition of unity method. Zbl 0949.65117Babuška, I.; Melenk, J. M. 707 1997 A simple error estimator and adaptive procedure for practical engineering analysis. Zbl 0602.73063Zienkiewicz, O. C.; Zhu, J. Z. 597 1987 The method of moving asymptotes - A new method for structural optimization. Zbl 0602.73091Svanberg, Krister 590 1987 The superconvergent patch recovery and \(a\;posteriori\) error estimates. I: The recovery technique. Zbl 0769.73084Zienkiewicz, O. C.; Zhu, J. Z. 561 1992 A class of mixed assumed strain methods and the method of incompatible modes. Zbl 0724.73222Simo, J. C.; Rifai, M. S. 490 1990 A stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1011.74081Chen, Jiun-Shyan; Wu, Cheng-Tang; Yoon, Sangpil; You, Yang 450 2001 The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169Fries, Thomas-Peter; Belytschko, Ted 389 2010 A-posteriori error estimates for the finite element method. Zbl 0396.65068Babuška, Ivo; Rheinboldt, W. C. 387 1978 Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014Miehe, C.; Welschinger, F.; Hofacker, M. 355 2010 A method of finite element tearing and interconnecting and its parallel solution algorithm. Zbl 0758.65075Farhat, Charbel; Roux, Francois-Xavier 332 1991 The superconvergent patch recovery and \(a\;posteriori\) error estimates. II: Error estimates and adaptivity. Zbl 0769.73085Zienkiewicz, O. C.; Zhu, J. Z. 326 1992 Arbitrary discontinuities in finite elements. Zbl 0981.74062Belytschko, T.; Moës, N.; Usui, S.; Parimi, C. 296 2001 A finite point method in computational mechanics. Applications to convective transport and fluid flow. Zbl 0884.76068Oñate, E.; Idelsohn, S.; Zienkiewicz, O. C.; Taylor, R. L. 295 1996 A point interpolation meshless method based on radial basis functions. Zbl 1098.74741Wang, J. G.; Liu, G. R. 284 2002 Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 282 1995 A point interpolation method for two-dimensional solids. Zbl 1050.74057Liu, G. R.; Gu, Y. T. 273 2001 Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. Zbl 0768.73082Simo, J. C.; Armero, F. 261 1992 Non-planar 3D crack growth by the extended finite element and level sets. I: Mechanical model. II: Level set update. Zbl 1169.74621Moës, N.; Gravouil, A.; Belytschko, T. 259 2002 A self-adaptive coordinate transformation for efficient numerical evluation of general boundary element integrals. Zbl 0622.65014Telles, J. C. F. 246 1987 Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T. 238 2000 Reduced integration technique in general analysis of plates and shells. Zbl 0253.73048Zienkiewicz, O. C.; Taylor, R. L.; Too, J. M. 237 1971 A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Zbl 0478.73049Flanagan, D. P.; Belytschko, T. 228 1981 A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Zbl 0551.73072Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. 228 1985 Rational approach for assumed stress finite elements. Zbl 0544.73095Pian, T. H. H.; Sumihara, K. 226 1984 Gradient enhanced damage for quasi-brittle materials. Zbl 0882.73057Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; de Vree, J. H. P. 219 1996 Finite-deformation irreversible cohesive elements for three-dimensional crack propagation analysis. Zbl 0932.74067Ortiz, M.; Pandolfi, A. 217 1999 CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André 215 2015 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053Hughes, Thomas J. R. 213 1980 A Taylor-Galerkin method for convective transport problems. Zbl 0524.65071Donea, Jean 213 1984 Subdivision surfaces: A new paradigm for thin-shell finite element analysis. Zbl 0983.74063Cirak, Fehmi; Ortiz, Michael; Schröder, Peter 208 2000 Analysis of functionally graded plates. Zbl 0970.74041Reddy, J. N. 206 2000 Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703Rabczuk, T.; Belytschko, T. 205 2004 Arbitrary branched and intersecting cracks with the extended finite element method. Zbl 0989.74066Daux, Christophe; Moës, Nicolas; Dolbow, John; Sukumar, Natarajan; Belytschko, Ted 201 2000 FETI-DP: A dual-prime unified FETI method. I: A faster alternative to the two-level FETI method. Zbl 1008.74076Farhat, Charbel; Lesoinne, Michel; LeTallec, Patrick; Pierson, Kendall; Rixen, Daniel 196 2001 Theoretical aspects of the smoothed finite element method (SFEM). Zbl 1194.74432Liu, G. R.; Nguyen, T. T.; Dai, K. Y.; Lam, K. Y. 191 2007 A new method for modelling cohesive cracks using finite elements. Zbl 1013.74074Wells, G. N.; Sluys, L. J. 189 2001 Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme. Zbl 1058.74070Kouznetsova, V.; Geers, M. G. D.; Brekelmans, W. A. M. 189 2002 A non-conforming element for stress analysis. Zbl 0338.73041Taylor, Robert L.; Beresford, Peter J.; Wilson, Edward L. 186 1976 The natural element method in solid mechanics. Zbl 0940.74078Sukumar, N.; Moran, B.; Belytschko, T. 184 1998 The boundary node method for potential problems. Zbl 0885.65124Mukherjee, Yu Xie; Mukherjee, Subrata 181 1997 The dual boundary element method: Effective implementation for crack problems. Zbl 0825.73908Portela, A.; Aliabadi, M. H.; Rooke, D. P. 176 1992 Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Zbl 1079.74599Guest, J. K.; Prst, J. H.; Belytschko, T. 176 2004 Conforming polygonal finite elements. Zbl 1073.65563Sukumar, N.; Tabarraei, A. 169 2004 High degree efficient symmetrical Gaussian quadrature rules for the triangle. Zbl 0589.65021Dunavant, D. A. 169 1985 Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019De Borst, René; Mühlhaus, Hans-Bernd 166 1992 Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R. 166 2011 Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics. Zbl 0332.73022Lachat, J. C.; Watson, J. O. 164 1976 Filters in topology optimization. Zbl 0971.74062Bourdin, Blaise 161 2001 Achievements and some unsolved problems of the finite element method. Zbl 0962.76056Zienkiewicz, O. C. 158 2000 A corrected XFEM approximation without problems in blending elements. Zbl 1195.74173Fries, Thomas-Peter 156 2008 A beam finite element nonlinear theory with finite rotations. Zbl 0662.73049Cardona, A.; Geradin, M. 152 1988 Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. I: Fundamentals. II: Numerical simulation. Zbl 0888.73018Oliver, J. 149 1996 High-order extended finite element method for cracked domains. Zbl 1181.74136Laborde, Patrick; Pommier, Julien; Renard, Yves; Salaün, Michel 148 2005 Construction of curvilinear co-ordinate systems and applications to mesh generation. Zbl 0271.65062Gordon, William J.; Hall, Charles A. 147 1973 High-order compact scheme for the steady stream-function vorticity equations. Zbl 0836.76065Spotz, W. F.; Carey, G. F. 144 1995 Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. Zbl 1235.74351Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel 142 2011 Improved implementation and robustness study of the X-FEM for stress analysis around cracks. Zbl 1122.74499Béchet, E.; Minnebo, H.; Moës, N.; Burgardt, B. 142 2005 A formulation of general shell elements - The use of mixed interpolation of tensorial components. Zbl 0585.73123Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. 141 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 1183.74299Nguyen-Thoi, T.; Liu, G. R.; Lam, K. Y.; Zhang, G. Y. 137 2009 A return mapping algorithm for plane stress elastoplasticity. Zbl 0585.73059Simo, J. C.; Taylor, R. L. 134 1986 A simple and efficient finite element for plate bending. Zbl 0363.73067Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak 133 1977 Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R. 131 2011 Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081Hughes, Thomas J. R.; Winget, James 130 1980 Modelling crack growth by level sets in the extended finite element method. Zbl 1022.74049Stolarska, M.; Chopp, D. L.; Moës, N.; Belytschko, T. 130 2001 Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Zbl 0585.73057Ortiz, M.; Popov, E. P. 129 1985 The coupling of the finite element method and boundary solution procedures. Zbl 0347.65048Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 128 1977 A study of three-node triangular plate bending elements. Zbl 0463.73071Batoz, Jean-Louis; Bathe, Klaus-Jürgen; Ho, Lee-Wing 126 1980 Imposing Dirichlet boundary conditions with Nitsche’s method and spline-based finite elements. Zbl 1197.74178Embar, Anand; Dolbow, John; Harari, Isaac 124 2010 Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions. Zbl 0957.65098Deraemaeker, Arnaud; Babuška, Ivo; Bouillard, Philippe 123 1999 Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup 123 2003 On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122Chessa, Jack; Wang, Hongwu; Belytschko, Ted 121 2003 Shear deformable shell elements for large strains and rotations. Zbl 0892.73054Bischoff, M.; Ramm, E. 120 1997 The vectorization of ITPACK 2C. Zbl 0714.65036Oppe, Thomas C. 119 1989 A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted 119 2006 Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Zbl 0964.76071Bonet, J.; Kulasegaram, S. 118 2000 Finite element methods for second order differential equations with significant first derivatives. Zbl 0342.65065Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Zienkiewicz, O. C. 118 1976 A unified stability analysis of meshless particle methods. Zbl 0972.74078Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping 116 2000 On the use of isoparametric finite elements in linear fracture mechanics. Zbl 0321.73067Barsoum, Roshdy S. 116 1976 An ’upwind’ finite element scheme for two-dimensional convective transport equation. Zbl 0353.65065Heinrich, J. C.; Huyakorn, P. S.; Zienkiewicz, O. C.; Mitchell, A. R. 116 1977 The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves. Zbl 1075.76576Idelsohn, S. R.; Oñate, E.; Del Pin, F. 115 2004 An analysis of a new class of intergration algorithms for elastoplastic constitutive relations. Zbl 0585.73058Ortiz, M.; Simo, J. C. 115 1986 Topology optimization of continuum structures with local stress constraints. Zbl 0924.73158Duysinx, P.; Bendsøe, M. P. 115 1998 Two-dimensional stress intensity factor computations using the boundary element method. Zbl 0463.73082Blandford, George E.; Ingraffea, Anthony R.; Liggett, James A. 114 1981 EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. Zbl 0772.73071Andelfinger, U.; Ramm, E. 114 1993 Moving-least-squares-particle hydrodynamics. I: Consistency and stability. Zbl 0951.76074Dilts, Gary A. 113 1999 Local and global smoothing of discontinuous finite element functions using a least squares method. Zbl 0286.73066Hinton, E.; Campbell, J. S. 109 1974 Nonlinear version of stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1098.74732Chen, Jiun-Shyan; Yoon, Sangpil; Wu, Cheng-Tang 109 2002 The generalized finite element method: An example of its implementation and illustration of its performance. Zbl 0955.65080Strouboulis, T.; Copps, K.; Babuška, I. 108 2000 A numerical method for heat transfer problems using collocation and radial basis functions. Zbl 0907.65095Zerroukat, M.; Power, H.; Chen, C. S. 108 1998 An alpha modification of Newmark’s method. Zbl 0441.73106Wood, W. L.; Bossak, M.; Zienkiewicz, O. C. 107 1980 A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537Rabczuk, T.; Areias, P. M. A.; Belytschko, T. 107 2007 An efficient finite element method for embedded interface problems. Zbl 1183.76803Dolbow, John; Harari, Isaac 107 2009 A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation. Zbl 0844.76060Thompson, Lonny L.; Pinsky, Peter M. 106 1995 Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems. Zbl 0969.70004Kane, C.; Marsden, J. E.; Ortiz, M.; West, M. 105 2000 Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept. Zbl 0808.73046Büchter, Norbert; Ramm, Ekkehard; Roehl, Deane 105 1994 Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056Miehe, Christian 105 2002 Multiphase topology optimization with a single variable using the phase-field design method. Zbl 1425.74379Seong, Hong Kyoung; Kim, Cheol Woong; Yoo, Jeonghoon; Lee, Jaewook 4 2019 Topology optimization of exterior acoustic-structure interaction systems using the coupled FEM-BEM method. Zbl 1425.74384Zhao, Wenchang; Chen, Leilei; Chen, Haibo; Marburg, Steffen 3 2019 Critical time step for DEM simulations of dynamic systems using a Hertzian contact model. Zbl 1425.74501Burns, Shane J.; Piiroinen, Petri T.; Hanley, Kevin J. 2 2019 An embedded boundary method for an inviscid compressible flow coupled to deformable thin structures: the mediating body method. Zbl 1427.65206Jamond, O.; Beccantini, A. 1 2019 A simple explicit single step time integration algorithm for structural dynamics. Zbl 1425.74474Kim, Wooram 1 2019 Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach. Zbl 1365.74138Zhao, Jia; Wang, Qi; Yang, Xiaofeng 85 2017 FFT-based homogenization for microstructures discretized by linear hexahedral elements. Zbl 1378.74056Schneider, Matti; Merkert, Dennis; Kabel, Matthias 27 2017 A high-order discontinuous Galerkin method for compressible flows with immersed boundaries. Zbl 1380.65384Müller, B.; Krämer-Eis, S.; Kummer, F.; Oberlack, M. 26 2017 F-bar aided edge-based smoothed finite element method using tetrahedral elements for finite deformation analysisof nearly incompressible solids. Zbl 1380.65386Onishi, Y.; Iida, R.; Amaya, K. 22 2017 Exact imposition of essential boundary condition and material interface continuity in Galerkin-based meshless methods. Zbl 1369.65152Zheng, Hong; Li, Wei; Du, Xiuli 18 2017 A stochastic simplex approximate gradient (StoSAG) for optimization under uncertainty. Zbl 1365.90177Fonseca, Rahul Rahul-Mark; Chen, Bailian; Jansen, Jan Dirk; Reynolds, Albert 18 2017 A local RBF collocation method for band structure computations of 2D solid/fluid and fluid/solid phononic crystals. Zbl 1378.74027Zheng, Hui; Zhang, Chuanzeng; Wang, Yuesheng; Chen, Wen; Sladek, Jan; Sladek, Vladimir 12 2017 Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales. Zbl 1365.80011Paladim, D. A.; Moitinho de Almeida, J. P.; Bordas, S. P. A.; Kerfriden, Pierre 9 2017 Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation. Zbl 1378.74054Zhang, Wenbo; Kang, Zhan 7 2017 Coupled FE-BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain. Zbl 1365.74072Zheng, C. J.; Zhang, C.; Bi, C. X.; Gao, H. F.; Du, L.; Chen, H. B. 7 2017 Nitsche’s method for Helmholtz problems with embedded interfaces. Zbl 1365.35018Zou, Zilong; Aquino, Wilkins; Harari, Isaac 7 2017 Transmitting boundary conditions for 1D peridynamics. Zbl 1375.74010Wang, Linjuan; Chen, Yongshuai; Xu, Jifeng; Wang, Jianxiang 6 2017 Solving large-scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh-Ritz method. Zbl 1367.65162Xiao, Jinyou; Zhang, Chuanzeng; Huang, Tsung-Ming; Sakurai, Tetsuya 6 2017 Mixed Eulerian-Lagrangian description in materials processing: deformation of a metal sheet in a rolling mill. Zbl 1378.74015Vetyukov, Yu.; Gruber, P. G.; Krommer, M.; Gerstmayr, J.; Gafur, I.; Winter, G. 5 2017 A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. Zbl 1365.65265Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Yang, Gang 5 2017 The stochastic Galerkin scaled boundary finite element method on random domain. Zbl 1365.65252Do, Duy Minh; Gao, Wei; Saputra, Albert A.; Song, Chongmin; Leong, Chi Hang 5 2017 Accelerating oil reservoir simulations using POD on the fly. Zbl 1378.86009Le Clainche, Soledad; Varas, Fernando; Vega, José M. 3 2017 On the treatments of heterogeneities and periodic boundary conditions for isogeometric homogenization analysis. Zbl 1378.74055Matsubara, Seishiro; Nishi, Shin-Nosuke; Terada, Kenjiro 3 2017 A partitioned approach for the coupling of SPH and FE methods for transient nonlinear FSI problems with incompatible time-steps. Zbl 1378.74025Nunez-Ramirez, Jorge; Marongiu, Jean-Christophe; Brun, Michaël; Combescure, Alain 3 2017 A new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions. Zbl 1367.65165Boutagouga, Djamel 3 2017 Variational projection methods for gradient crystal plasticity using Lie algebras. Zbl 1375.74021Truster, Timothy J.; Nassif, Omar 2 2017 Enhanced goal-oriented error assessment and computational strategies in adaptive reduced basis solver for stochastic problems. Zbl 1378.74076Serafin, Kevin; Magnain, Benoît; Florentin, Eric; Parés, Núria; Díez, Pedro 2 2017 Lattice spring methods for arbitrary meshes in two and three dimensions. Zbl 1375.74091Reck, M. 1 2017 An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of conjugate heat transfer problems. Zbl 1375.80014Ojeda, Steven M.; Sun, Huafei; Allmaras, Steven R.; Darmofal, David L. 1 2017 An efficient sparse matrix-vector multiplication on CUDA-enabled graphic processing units for finite element method simulations. Zbl 1378.65095Altinkaynak, Atakan 1 2017 An automatic method for generating carbon nanostructure atomistic models using hexagonal meshes with properly distributed defects. Zbl 1378.82061Shang, Feifei; Zeng, Zhen; Liu, Jianfei; Chen, Tingfei 1 2017 Mean-strain 10-node tetrahedron with energy-sampling stabilization. Zbl 1378.74009Pakravan, Alireza; Krysl, Petr 1 2017 Globalization technique for projected Newton-Krylov methods. Zbl 1365.35069Chen, Jinhai; Vuik, Cornelis 1 2017 Enriching the finite element method with meshfree particles in structural mechanics. Zbl 1365.74156Zanette, A.; Ferronato, Massimiliano; Janna, C. 1 2017 Time integration of mechanical systems with elastohydrodynamic lubricated joints using quasi-Newton method and projection formulations. Zbl 1366.70006Krinner, Andreas; Schindler, T.; Rixen, D. J. 1 2017 A Lagrangian cell-centred finite volume method for metal forming simulation. Zbl 1365.65202Cardiff, Philip; Tuković, Ž.; De Jaeger, P.; Clancy, M.; Ivanković, A. 1 2017 Mesh-free models for static analysis of smart laminated composite beams. Zbl 1365.74103Ray, M. C. 1 2017 Higher-order accurate integration of implicit geometries. Zbl 1352.65498Fries, Thomas-Peter; Omerović, Samir 46 2016 An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics. Zbl 1352.74119Hillman, Michael; Chen, Jiun-Shyan 39 2016 Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity. Zbl 1352.74467Lian, Haojie; Kerfriden, Pierre; Bordas, Stéphane P. A. 35 2016 A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach. Zbl 1352.74434Scovazzi, Guglielmo; Carnes, Brian; Zeng, Xianyi; Rossi, Simone 30 2016 A meshless singular boundary method for three-dimensional elasticity problems. Zbl 1352.74039Gu, Yan; Chen, Wen; Gao, Hongwei; Zhang, Chuanzeng 28 2016 On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations. Zbl 1360.65250Shivanian, Elyas 24 2016 The tetrahedral finite cell method: higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes. Zbl 1352.65558Varduhn, Vasco; Hsu, Ming-Chen; Ruess, Martin; Schillinger, Dominik 23 2016 Efficient implementation of high-order finite elements for Helmholtz problems. Zbl 1352.76042Bériot, Hadrien; Prinn, Albert; Gabard, Gwénaël 22 2016 A phase-field model for chemo-mechanical induced fracture in lithium-ion battery electrode particles. Zbl 1352.74116Miehe, C.; Dal, H.; Schänzel, L.-M.; Raina, A. 20 2016 A monotone nonlinear finite volume method for approximating diffusion operators on general meshes. Zbl 1352.65428Camier, Jean-Sylvain; Hermeline, Francois 19 2016 POD-based model reduction with empirical interpolation applied to nonlinear elasticity. Zbl 1352.74048Radermacher, Annika; Reese, Stefanie 17 2016 Discontinuous finite volume methods for the stationary Stokes-Darcy problem. Zbl 1352.76078Wang, Gang; He, Yinnian; Li, Rui 16 2016 Comparison of implicit and explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation. Zbl 1352.76058Kronbichler, M.; Schoeder, S.; Müller, C.; Wall, W. A. 14 2016 A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials. Zbl 1352.74082Liu, Yang; Sun, Waiching; Yuan, Zifeng; Fish, Jacob 13 2016 The finite element square reduced (\(FE^{2R}\)) method with GPU acceleration: towards three-dimensional two-scale simulations. Zbl 1352.74352Fritzen, Felix; Hodapp, Max 13 2016 On the enhancement of low-order mixed finite element methods for the large deformation analysis of diffusion in solids. Zbl 1352.74384Krischok, Andreas; Linder, Christian 12 2016 A distortion measure to validate and generate curved high-order meshes on CAD surfaces with independence of parameterization. Zbl 1352.65053Gargallo-Peiró, A.; Roca, X.; Peraire, J.; Sarrate, J. 12 2016 Strain gradient stabilization with dual stress points for the meshfree nodal integration method in inelastic analyses. Zbl 1352.74060Wu, Cheng-Tang; Chi, Sheng-Wei; Koishi, Masataka; Wu, Youcai 11 2016 Post optimization for accurate and efficient reliability-based design optimization using second-order reliability method based on importance sampling and its stochastic sensitivity analysis. Zbl 1352.90028Lim, Jongmin; Lee, Byungchai; Lee, Ikjin 11 2016 An interface integral equation method for solving general multi-medium mechanics problems. Zbl 1352.74031Gao, Xiao-Wei; Feng, Wei-Zhe; Zheng, Bao-Jing; Yang, Kai 11 2016 A 10-node composite tetrahedral finite element for solid mechanics. Zbl 1352.74421Ostien, J. T.; Foulk, J. W.; Mota, A.; Veilleux, M. G. 11 2016 Topology optimization of multiscale elastoviscoplastic structures. Zbl 1352.74239Fritzen, Felix; Xia, Liang; Leuschner, Matthias; Breitkopf, Piotr 9 2016 Modeling arbitrary crack propagation in coupled shell/solid structures with X-FEM. Zbl 1352.74309Zeng, Qinglei; Liu, Zhanli; Xu, Dandan; Wang, Heng; Zhuang, Zhuo 9 2016 Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction. Zbl 1352.74405May, Stefan; Vignollet, Julien; De Borst, René 8 2016 A fast, memory efficient and robust sparse preconditioner based on a multifrontal approach with applications to finite-element matrices. Zbl 1352.65451Aminfar, Amirhossein; Darve, Eric 8 2016 The particle finite element method (PFEM) in thermo-mechanical problems. Zbl 1352.74426Rodriguez, J. M.; Carbonell, J. M.; Cante, J. C.; Oliver, J. 8 2016 Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver. Zbl 1352.74237Dunning, Peter D.; Ovtchinnikov, Evgueni; Scott, Jennifer; Kim, H. Alicia 8 2016 Projection-based model reduction for contact problems. Zbl 1352.74196Balajewicz, Maciej; Amsallem, David; Farhat, Charbel 7 2016 A ‘nodeless’ dual superelement formulation for structural and multibody dynamics application to reduction of contact problems. Zbl 1352.65343Géradin, Michel; Rixen, Daniel J. 7 2016 On the adaptive finite element analysis of the Kohn-Sham equations: methods, algorithms, and implementation. Zbl 1352.65460Davydov, Denis; Young, Toby D.; Steinmann, Paul 7 2016 A thermo-hydro-mechanical model for multiphase geomaterials in dynamics with application to strain localization simulation. Zbl 1352.74180Cao, T. D.; Sanavia, L.; Schrefler, B. A. 7 2016 A multiscale approach to the computational characterization of magnetorheological elastomers. Zbl 1352.74088Keip, Marc-Andre; Rambausek, Matthias 7 2016 Improved guaranteed computable bounds on homogenized properties of periodic media by the Fourier-Galerkin method with exact integration. Zbl 1352.74269Vondřejc, Jaroslav 7 2016 Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics. Zbl 1352.74381Kolman, Radek; Plešek, Jiří; Červ, Jan; Okrouhlík, Miloslav; Pařík, Petr 6 2016 Dynamic flow-based particle splitting in smoothed particle hydrodynamics. Zbl 1352.65408Khorasanizade, Sh.; Sousa, J. M. M. 6 2016 Fourth-order energy-preserving locally implicit time discretization for linear wave equations. Zbl 1352.65334Chabassier, J.; Imperiale, S. 6 2016 A two-level domain decomposition method with accurate interface conditions for the Helmholtz problem. Zbl 1352.74319Astaneh, Ali Vaziri; Guddati, Murthy N. 6 2016 Approximate optimal projection for reduced-order models. Zbl 1360.65267Oberai, Assad A.; Jagalur-Mohan, Jayanth 5 2016 Statistical reconstruction and Karhunen-Loève expansion for multiphase random media. Zbl 1358.74004Feng, J. W.; Cen, S.; Li, C. F.; Owen, D. R. J. 5 2016 An incremental energy minimization state update algorithm for 3D phenomenological internal-variable SMA constitutive models based on isotropic flow potentials. Zbl 1358.74043Artioli, E.; Bisegna, P. 5 2016 Nonlinear model reduction via a locally weighted POD method. Zbl 1352.65535Peng, Liqian; Mohseni, Kamran 5 2016 An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions. Zbl 1352.76083Li, Zhilin 5 2016 Mesh objective continuum damage models for ductile fracture. Zbl 1352.74289Larsson, Ragnar; Razanica, Senad; Josefson, B. Lennart 5 2016 Error estimation for the automated multi-level substructuring method. Zbl 1352.74329Boo, Seung-Hwan; Kim, Jin-Gyun; Lee, Phill-Seung 5 2016 Efficient solution of time-domain boundary integral equations arising in sound-hard scattering. Zbl 1352.76080Veit, Alexander; Merta, Michal; Zapletal, Jan; Lukáš, Dalibor 5 2016 Robust compliance topology optimization based on the topological derivative concept. Zbl 1352.74250Torii, André Jacomel; Novotny, Antonio André; Dos Santos, Renatha Batista 4 2016 Time-step constraints in transient coupled finite element analysis. Zbl 1352.74340Cui, W.; Gawecka, K. A.; Taborda, D. M. G.; Potts, D. M.; Zdravković, L. 4 2016 Trefftz-based dual reciprocity method for hyperbolic boundary value problems. Zbl 1352.76063Moldovan, I. D.; Radu, L. 4 2016 Assessment of explicit and semi-explicit classes of model-based algorithms for direct integration in structural dynamics. Zbl 1352.74182Kolay, Chinmoy; Ricles, James M. 4 2016 A locally anisotropic fluid-structure interaction remeshing strategy for thin structures with application to a hinged rigid leaflet. Zbl 1352.76018Auricchio, Ferdinando; Lefieux, Adrien; Reali, Alessandro; Veneziani, Alessandro 4 2016 Efficient implementation of an explicit partitioned shear and longitudinal wave propagation algorithm. Zbl 1352.74143Kolman, R.; Cho, S. S.; Park, K. C. 4 2016 Real-time updating of structural mechanics models using Kalman filtering, modified constitutive relation error, and proper generalized decomposition. Zbl 1352.74013Marchand, Basile; Chamoin, Ludovic; Rey, Christian 4 2016 Ellipsoidal load-domain shakedown analysis with von Mises yield criterion: A robust optimization approach. Zbl 1352.74233Yamaguchi, Takashi; Kanno, Yoshihiro 4 2016 Implementation of a generalized exponential basis functions method for linear and non-linear problems. Zbl 1360.65289Mossaiby, F.; Ghaderian, M.; Rossi, R. 3 2016 A 3D Cosserat point element (CPE) for nonlinear orthotropic solids: generalization for an initially distorted mesh and an arbitrary orientation of material orthotropy. Zbl 1352.74046Jabareen, M.; Mtanes, E. 3 2016 Sparse grids-based stochastic approximations with applications to aerodynamics sensitivity analysis. Zbl 1352.76093Resmini, A.; Peter, J.; Lucor, D. 3 2016 Topology optimization of continuum structures subjected to uncertainties in material properties. Zbl 1352.74235Da Silva, G. A.; Cardoso, E. L. 3 2016 An Euler-Lagrange particle approach for modeling fragments accelerated by explosive detonation. Zbl 1352.76037Price, Matthew A.; Nguyen, Vinh-Tan; Hassan, Oubay; Morgan, Ken 3 2016 Controlling the onset of numerical fracture in parallelized implementations of the material point method (MPM) with convective particle domain interpolation (CPDI) domain scaling. Zbl 1352.74282Homel, Michael A.; Brannon, Rebecca M.; Guilkey, James 3 2016 Dual-based adaptive FEM for inelastic problems with standard FE implementations. Zbl 1352.74447Widany, K.-U.; Mahnken, R. 3 2016 A simple integration algorithm for a non-associated anisotropic plasticity model for sheet metal forming. Zbl 1352.74059Wali, M.; Autay, R.; Mars, J.; Dammak, F. 3 2016 Fully coupled linear modelling of incompressible free-surface flow, compressible air and flexible structures. Zbl 1352.76069Toth, F.; Kaltenbacher, M. 3 2016 Substructured formulations of nonlinear structure problems – influence of the interface condition. Zbl 1352.74034Negrello, Camille; Gosselet, Pierre; Rey, Christian; Pebrel, Julien 3 2016 ...and 1723 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 37,850 Authors 199 Liu, Gui-Rong 157 Wriggers, Peter 144 Belytschko, Ted Bohdan 144 Dehghan Takht Fooladi, Mehdi 134 Rabczuk, Timon 133 Oñate Ibáñez de Navarra, Eugenio 130 Steinmann, Paul 125 Liu, Wing Kam 122 Hughes, Thomas J. 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