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 87 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, D. Roger J. 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 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 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. 16 Wagner, Werner 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 14 Szabó, Barna Aladar ...and 9,301 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 7,285 Publications have been cited 96,940 times in 33,366 Documents Cited by ▼ Year ▼ Element-free Galerkin methods. Zbl 0796.73077Belytschko, T.; Lu, Y. Y.; Gu, L. 1,414 1994 A finite element method for crack growth without remeshing. Zbl 0955.74066Moës, Nicolas; Dolbow, John; Belytschko, Ted 1,029 1999 Elastic crack growth in finite elements with minimal remeshing. Zbl 0943.74061Belytschko, T.; Black, T. 660 1999 The partition of unity method. Zbl 0949.65117Babuška, I.; Melenk, J. M. 637 1997 Gmsh: a 3-D finite element mesh generator with built-in pre- and post-processing facilities. Zbl 1176.74181Geuzaine, Christophe; Remacle, Jean-François 580 2009 A simple error estimator and adaptive procedure for practical engineering analysis. Zbl 0602.73063Zienkiewicz, O. C.; Zhu, J. Z. 565 1987 The superconvergent patch recovery and \(a\;posteriori\) error estimates. I: The recovery technique. Zbl 0769.73084Zienkiewicz, O. C.; Zhu, J. Z. 516 1992 The method of moving asymptotes - A new method for structural optimization. Zbl 0602.73091Svanberg, Krister 514 1987 A class of mixed assumed strain methods and the method of incompatible modes. Zbl 0724.73222Simo, J. C.; Rifai, M. S. 466 1990 A stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1011.74081Chen, Jiun-Shyan; Wu, Cheng-Tang; Yoon, Sangpil; You, Yang 399 2001 A-posteriori error estimates for the finite element method. Zbl 0396.65068Babuška, Ivo; Rheinboldt, W. C. 356 1978 The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169Fries, Thomas-Peter; Belytschko, Ted 318 2010 A method of finite element tearing and interconnecting and its parallel solution algorithm. Zbl 0758.65075Farhat, Charbel; Roux, Francois-Xavier 303 1991 The superconvergent patch recovery and \(a\;posteriori\) error estimates. II: Error estimates and adaptivity. Zbl 0769.73085Zienkiewicz, O. C.; Zhu, J. Z. 303 1992 Arbitrary discontinuities in finite elements. Zbl 0981.74062Belytschko, T.; Moës, N.; Usui, S.; Parimi, C. 280 2001 Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 266 1995 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. 265 1996 A point interpolation meshless method based on radial basis functions. Zbl 1098.74741Wang, J. G.; Liu, G. R. 255 2002 A point interpolation method for two-dimensional solids. Zbl 1050.74057Liu, G. R.; Gu, Y. T. 251 2001 Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. Zbl 0768.73082Simo, J. C.; Armero, F. 245 1992 Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014Miehe, C.; Welschinger, F.; Hofacker, M. 243 2010 A self-adaptive coordinate transformation for efficient numerical evluation of general boundary element integrals. Zbl 0622.65014Telles, J. C. F. 232 1987 Reduced integration technique in general analysis of plates and shells. Zbl 0253.73048Zienkiewicz, O. C.; Taylor, R. L.; Too, J. M. 221 1971 Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T. 216 2000 Rational approach for assumed stress finite elements. Zbl 0544.73095Pian, T. H. H.; Sumihara, K. 214 1984 A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Zbl 0551.73072Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. 214 1985 A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Zbl 0478.73049Flanagan, D. P.; Belytschko, T. 209 1981 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053Hughes, Thomas J. R. 202 1980 Finite-deformation irreversible cohesive elements for three-dimensional crack propagation analysis. Zbl 0932.74067Ortiz, M.; Pandolfi, A. 201 1999 A Taylor-Galerkin method for convective transport problems. Zbl 0524.65071Donea, Jean 197 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. 190 1996 Arbitrary branched and intersecting cracks with the extended finite element method. Zbl 0989.74066Daux, Christophe; Moës, Nicolas; Dolbow, John; Sukumar, Natarajan; Belytschko, Ted 187 2000 Analysis of functionally graded plates. Zbl 0970.74041Reddy, J. N. 183 2000 Subdivision surfaces: A new paradigm for thin-shell finite element analysis. Zbl 0983.74063Cirak, Fehmi; Ortiz, Michael; Schröder, Peter 181 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 180 2001 A non-conforming element for stress analysis. Zbl 0338.73041Taylor, Robert L.; Beresford, Peter J.; Wilson, Edward L. 179 1976 Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703Rabczuk, T.; Belytschko, T. 178 2004 A new method for modelling cohesive cracks using finite elements. Zbl 1013.74074Wells, G. N.; Sluys, L. J. 176 2001 The boundary node method for potential problems. Zbl 0885.65124Mukherjee, Yu Xie; Mukherjee, Subrata 174 1997 Theoretical aspects of the smoothed finite element method (SFEM). Zbl 1194.74432Liu, G. R.; Nguyen, T. T.; Dai, K. Y.; Lam, K. Y. 174 2007 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. 164 2002 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. 163 2002 The natural element method in solid mechanics. Zbl 0940.74078Sukumar, N.; Moran, B.; Belytschko, T. 162 1998 The dual boundary element method: Effective implementation for crack problems. Zbl 0825.73908Portela, A.; Aliabadi, M. H.; Rooke, D. P. 161 1992 Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019De Borst, René; Mühlhaus, Hans-Bernd 160 1992 Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics. Zbl 0332.73022Lachat, J. C.; Watson, J. O. 159 1976 Achievements and some unsolved problems of the finite element method. Zbl 0962.76056Zienkiewicz, O. C. 150 2000 Conforming polygonal finite elements. Zbl 1073.65563Sukumar, N.; Tabarraei, A. 148 2004 High degree efficient symmetrical Gaussian quadrature rules for the triangle. Zbl 0589.65021Dunavant, D. A. 148 1985 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. 147 2011 Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Zbl 1079.74599Guest, J. K.; Prst, J. H.; Belytschko, T. 145 2004 Filters in topology optimization. Zbl 0971.74062Bourdin, Blaise 143 2001 A beam finite element nonlinear theory with finite rotations. Zbl 0662.73049Cardona, A.; Geradin, M. 143 1988 A corrected XFEM approximation without problems in blending elements. Zbl 1195.74173Fries, Thomas-Peter 142 2008 CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André 138 2015 High-order extended finite element method for cracked domains. Zbl 1181.74136Laborde, Patrick; Pommier, Julien; Renard, Yves; Salaün, Michel 137 2005 High-order compact scheme for the steady stream-function vorticity equations. Zbl 0836.76065Spotz, W. F.; Carey, G. F. 134 1995 A formulation of general shell elements - The use of mixed interpolation of tensorial components. Zbl 0585.73123Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. 134 1986 Construction of curvilinear co-ordinate systems and applications to mesh generation. Zbl 0271.65062Gordon, William J.; Hall, Charles A. 134 1973 Improved implementation and robustness study of the X-FEM for stress analysis around cracks. Zbl 1122.74499Béchet, E.; Minnebo, H.; Moës, N.; Burgardt, B. 131 2005 A return mapping algorithm for plane stress elastoplasticity. Zbl 0585.73059Simo, J. C.; Taylor, R. L. 129 1986 A simple and efficient finite element for plate bending. Zbl 0363.73067Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak 124 1977 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. 124 2009 Modelling crack growth by level sets in the extended finite element method. Zbl 1022.74049Stolarska, M.; Chopp, D. L.; Moës, N.; Belytschko, T. 123 2001 The coupling of the finite element method and boundary solution procedures. Zbl 0347.65048Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 122 1977 Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Zbl 0585.73057Ortiz, M.; Popov, E. P. 121 1985 A study of three-node triangular plate bending elements. Zbl 0463.73071Batoz, Jean-Louis; Bathe, Klaus-Jürgen; Ho, Lee-Wing 120 1980 Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081Hughes, Thomas J. R.; Winget, James 120 1980 On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122Chessa, Jack; Wang, Hongwu; Belytschko, Ted 118 2003 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. 118 2011 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. 117 1976 On the use of isoparametric finite elements in linear fracture mechanics. Zbl 0321.73067Barsoum, Roshdy S. 113 1976 An analysis of a new class of intergration algorithms for elastoplastic constitutive relations. Zbl 0585.73058Ortiz, M.; Simo, J. C. 112 1986 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. 112 1977 Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup 111 2003 Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. I: Fundamentals. II: Numerical simulation. Zbl 0888.73018Oliver, J. 109 1996 Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Zbl 0964.76071Bonet, J.; Kulasegaram, S. 109 2000 Two-dimensional stress intensity factor computations using the boundary element method. Zbl 0463.73082Blandford, George E.; Ingraffea, Anthony R.; Liggett, James A. 109 1981 Shear deformable shell elements for large strains and rotations. Zbl 0892.73054Bischoff, M.; Ramm, E. 108 1997 Imposing Dirichlet boundary conditions with Nitsche’s method and spline-based finite elements. Zbl 1197.74178Embar, Anand; Dolbow, John; Harari, Isaac 107 2010 A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted 107 2006 EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. Zbl 0772.73071Andelfinger, U.; Ramm, E. 106 1993 Local and global smoothing of discontinuous finite element functions using a least squares method. Zbl 0286.73066Hinton, E.; Campbell, J. S. 105 1974 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. 104 2004 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 104 2011 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 102 1999 A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation. Zbl 0844.76060Thompson, Lonny L.; Pinsky, Peter M. 101 1995 Topology optimization of continuum structures with local stress constraints. Zbl 0924.73158Duysinx, P.; Bendsøe, M. P. 101 1998 The generalized finite element method: An example of its implementation and illustration of its performance. Zbl 0955.65080Strouboulis, T.; Copps, K.; Babuška, I. 100 2000 Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept. Zbl 0808.73046Büchter, Norbert; Ramm, Ekkehard; Roehl, Deane 99 1994 A frontal solution program for finite element analysis. Zbl 0252.73050Irons, Bruce M. 99 1970 A numerical method for heat transfer problems using collocation and radial basis functions. Zbl 0907.65095Zerroukat, M.; Power, H.; Chen, C. S. 99 1998 Dynamic fracture using element-free Galerkin methods. Zbl 0953.74077Belytschko, T.; Tabbara, M. 98 1996 A unified stability analysis of meshless particle methods. Zbl 0972.74078Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping 98 2000 A one-step method for direct integration of structural dynamic equations. Zbl 0426.65034Brusa, L.; Nigro, L. 98 1980 A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537Rabczuk, T.; Areias, P. M. A.; Belytschko, T. 98 2007 Crack tip finite elements are unnecessary. Zbl 0306.73064Henshell, R. D.; Shaw, K. G. 97 1975 A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures. Zbl 0714.73035Eterovic, Adrian Luis; Bathe, Klaus-Jürgen 97 1990 Infinite elements. Zbl 0362.65093Bettess, Peter 96 1977 An efficient finite element method for embedded interface problems. Zbl 1183.76803Dolbow, John; Harari, Isaac 96 2009 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 2 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 2 2019 A simple explicit single step time integration algorithm for structural dynamics. Zbl 1425.74474Kim, Wooram 1 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. 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 50 2017 Exact imposition of essential boundary condition and material interface continuity in Galerkin-based meshless methods. Zbl 1369.65152Zheng, Hong; Li, Wei; Du, Xiuli 16 2017 FFT-based homogenization for microstructures discretized by linear hexahedral elements. Zbl 1378.74056Schneider, Matti; Merkert, Dennis; Kabel, Matthias 16 2017 A high-order discontinuous Galerkin method for compressible flows with immersed boundaries. Zbl 1380.65384Müller, B.; Krämer-Eis, S.; Kummer, F.; Oberlack, M. 15 2017 A stochastic simplex approximate gradient (StoSAG) for optimization under uncertainty. Zbl 1365.90177Fonseca, Rahul Rahul-Mark; Chen, Bailian; Jansen, Jan Dirk; Reynolds, Albert 14 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. 14 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 9 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 6 2017 Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation. Zbl 1378.74054Zhang, Wenbo; Kang, Zhan 6 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 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 5 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. 4 2017 Nitsche’s method for Helmholtz problems with embedded interfaces. Zbl 1365.35018Zou, Zilong; Aquino, Wilkins; Harari, Isaac 4 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 4 2017 Transmitting boundary conditions for 1D peridynamics. Zbl 1375.74010Wang, Linjuan; Chen, Yongshuai; Xu, Jifeng; Wang, Jianxiang 4 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. 4 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 Variational projection methods for gradient crystal plasticity using Lie algebras. Zbl 1375.74021Truster, Timothy J.; Nassif, Omar 2 2017 On the treatments of heterogeneities and periodic boundary conditions for isogeometric homogenization analysis. Zbl 1378.74055Matsubara, Seishiro; Nishi, Shin-Nosuke; Terada, Kenjiro 2 2017 Mesh-free models for static analysis of smart laminated composite beams. Zbl 1365.74103Ray, M. C. 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 new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions. Zbl 1367.65165Boutagouga, Djamel 1 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 Accelerating oil reservoir simulations using POD on the fly. Zbl 1378.86009Le Clainche, Soledad; Varas, Fernando; Vega, José M. 1 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 1 2017 Higher-order accurate integration of implicit geometries. Zbl 1352.65498Fries, Thomas-Peter; Omerović, Samir 38 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. 26 2016 A meshless singular boundary method for three-dimensional elasticity problems. Zbl 1352.74039Gu, Yan; Chen, Wen; Gao, Hongwei; Zhang, Chuanzeng 21 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 20 2016 An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics. Zbl 1352.74119Hillman, Michael; Chen, Jiun-Shyan 20 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 20 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 19 2016 Efficient implementation of high-order finite elements for Helmholtz problems. Zbl 1352.76042Bériot, Hadrien; Prinn, Albert; Gabard, Gwénaël 15 2016 Discontinuous finite volume methods for the stationary Stokes-Darcy problem. Zbl 1352.76078Wang, Gang; He, Yinnian; Li, Rui 14 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. 12 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 10 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. 10 2016 POD-based model reduction with empirical interpolation applied to nonlinear elasticity. Zbl 1352.74048Radermacher, Annika; Reese, Stefanie 10 2016 A monotone nonlinear finite volume method for approximating diffusion operators on general meshes. Zbl 1352.65428Camier, Jean-Sylvain; Hermeline, Francois 10 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 10 2016 A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials. Zbl 1352.74082Liu, Yang; Sun, Waiching; Yuan, Zifeng; Fish, Jacob 9 2016 The finite element square reduced (\(FE^{2R}\)) method with GPU acceleration: towards three-dimensional two-scale simulations. Zbl 1352.74352Fritzen, Felix; Hodapp, Max 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 8 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 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 A 10-node composite tetrahedral finite element for solid mechanics. Zbl 1352.74421Ostien, J. T.; Foulk, J. W.; Mota, A.; Veilleux, M. G. 8 2016 Topology optimization of multiscale elastoviscoplastic structures. Zbl 1352.74239Fritzen, Felix; Xia, Liang; Leuschner, Matthias; Breitkopf, Piotr 7 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. 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. 6 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. 6 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 6 2016 Improved guaranteed computable bounds on homogenized properties of periodic media by the Fourier-Galerkin method with exact integration. Zbl 1352.74269Vondřejc, Jaroslav 6 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 5 2016 Error estimation for the automated multi-level substructuring method. Zbl 1352.74329Boo, Seung-Hwan; Kim, Jin-Gyun; Lee, Phill-Seung 5 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 5 2016 The particle finite element method (PFEM) in thermo-mechanical problems. Zbl 1352.74426Rodriguez, J. M.; Carbonell, J. M.; Cante, J. C.; Oliver, J. 5 2016 Nonlinear model reduction via a locally weighted POD method. Zbl 1352.65535Peng, Liqian; Mohseni, Kamran 4 2016 Dynamic flow-based particle splitting in smoothed particle hydrodynamics. Zbl 1352.65408Khorasanizade, Sh.; Sousa, J. M. M. 4 2016 An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions. Zbl 1352.76083Li, Zhilin 4 2016 Fourth-order energy-preserving locally implicit time discretization for linear wave equations. Zbl 1352.65334Chabassier, J.; Imperiale, S. 4 2016 Projection-based model reduction for contact problems. Zbl 1352.74196Balajewicz, Maciej; Amsallem, David; Farhat, Charbel 4 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 Trefftz-based dual reciprocity method for hyperbolic boundary value problems. Zbl 1352.76063Moldovan, I. D.; Radu, L. 4 2016 A multiscale approach to the computational characterization of magnetorheological elastomers. Zbl 1352.74088Keip, Marc-Andre; Rambausek, Matthias 4 2016 Efficient solution of time-domain boundary integral equations arising in sound-hard scattering. Zbl 1352.76080Veit, Alexander; Merta, Michal; Zapletal, Jan; Lukáš, Dalibor 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 Approximate optimal projection for reduced-order models. Zbl 1360.65267Oberai, Assad A.; Jagalur-Mohan, Jayanth 4 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 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 3 2016 Topology optimization of continuum structures subjected to uncertainties in material properties. Zbl 1352.74235Da Silva, G. A.; Cardoso, E. L. 3 2016 Mesh objective continuum damage models for ductile fracture. Zbl 1352.74289Larsson, Ragnar; Razanica, Senad; Josefson, B. Lennart 3 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 3 2016 A two-level domain decomposition method with accurate interface conditions for the Helmholtz problem. Zbl 1352.74319Astaneh, Ali Vaziri; Guddati, Murthy N. 3 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 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 Efficient implementation of an explicit partitioned shear and longitudinal wave propagation algorithm. Zbl 1352.74143Kolman, R.; Cho, S. S.; Park, K. C. 3 2016 Fully coupled linear modelling of incompressible free-surface flow, compressible air and flexible structures. Zbl 1352.76069Toth, F.; Kaltenbacher, M. 3 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. 3 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. 3 2016 Sparse grids-based stochastic approximations with applications to aerodynamics sensitivity analysis. Zbl 1352.76093Resmini, A.; Peter, J.; Lucor, D. 2 2016 A simulation method for high-cycle fatigue-driven delamination using a cohesive zone model. Zbl 1352.74277Bak, Brian L. V.; Turon, Albert; Lindgaard, Esben; Lund, Erik 2 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 2 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 2 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. 2 2016 Wave finite element-based superelements for forced response analysis of coupled systems via dynamic substructuring. Zbl 1352.74137Silva, Priscilla Brandão; Mencik, Jean-Mathieu; Arruda, José Roberto De Franca 2 2016 A new technique for numerical simulation of dendritic solidification using a meshfree interface finite element method. Zbl 1352.80007Ghoneim, Adam 2 2016 A study of the influence of REV variability in double-scale FEM \(\times\)DEM analysis. Zbl 1352.74435Shahin, Ghassan; Desrues, Jacques; Dal Pont, Stefano; Combe, Gaël; Argilaga, Albert 2 2016 A particle-based moving interface method (PMIM) for modeling the large deformation of boundaries in soft matter systems. Zbl 1352.76051Foucard, Louis; Vernerey, Franck J. 2 2016 Ellipsoidal load-domain shakedown analysis with von Mises yield criterion: A robust optimization approach. Zbl 1352.74233Yamaguchi, Takashi; Kanno, Yoshihiro 2 2016 An efficient binning scheme with application to statistical crack mechanics. Zbl 1358.74051Huq, F.; Brannon, R.; Graham-Brady, L. 2 2016 Numerical plate testing for linear two-scale analyses of composite plates with in-plane periodicity. Zbl 1358.74029Terada, Kenjiro; Hirayama, Norio; Yamamoto, Koji; Muramatsu, Mayu; Matsubara, Seishiro; Nishi, Shin-Nosuke 2 2016 Parallel implementation of spectral element method for Lamb wave propagation modeling. Zbl 1352.65567Kudela, Pawel 1 2016 Numerical implementation and validation of a consistently homogenized higher order plasticity model. Zbl 1352.74267Poh, L. H.; Phan, V. T. 1 2016 ...and 1694 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 33,812 Authors 192 Liu, Gui-Rong 144 Belytschko, Ted Bohdan 141 Wriggers, Peter 134 Dehghan Takht Fooladi, Mehdi 128 Oñate Ibáñez de Navarra, Eugenio 123 Liu, Wing Kam 120 Steinmann, Paul 117 Rabczuk, Timon 116 Hughes, Thomas J. 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