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, 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 9,286 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 7,315 Publications have been cited 102,249 times in 35,490 Documents Cited by ▼ Year ▼ Element-free Galerkin methods. Zbl 0796.73077Belytschko, T.; Lu, Y. Y.; Gu, L. 1,491 1994 A finite element method for crack growth without remeshing. Zbl 0955.74066Moës, Nicolas; Dolbow, John; Belytschko, Ted 1,111 1999 Elastic crack growth in finite elements with minimal remeshing. Zbl 0943.74061Belytschko, T.; Black, T. 714 1999 Gmsh: a 3-D finite element mesh generator with built-in pre- and post-processing facilities. Zbl 1176.74181Geuzaine, Christophe; Remacle, Jean-François 685 2009 The partition of unity method. Zbl 0949.65117Babuška, I.; Melenk, J. M. 683 1997 A simple error estimator and adaptive procedure for practical engineering analysis. Zbl 0602.73063Zienkiewicz, O. C.; Zhu, J. Z. 583 1987 The method of moving asymptotes - A new method for structural optimization. Zbl 0602.73091Svanberg, Krister 552 1987 The superconvergent patch recovery and \(a\;posteriori\) error estimates. I: The recovery technique. Zbl 0769.73084Zienkiewicz, O. C.; Zhu, J. Z. 542 1992 A class of mixed assumed strain methods and the method of incompatible modes. Zbl 0724.73222Simo, J. C.; Rifai, M. S. 480 1990 A stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1011.74081Chen, Jiun-Shyan; Wu, Cheng-Tang; Yoon, Sangpil; You, Yang 429 2001 A-posteriori error estimates for the finite element method. Zbl 0396.65068Babuška, Ivo; Rheinboldt, W. C. 373 1978 The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169Fries, Thomas-Peter; Belytschko, Ted 363 2010 The superconvergent patch recovery and \(a\;posteriori\) error estimates. II: Error estimates and adaptivity. Zbl 0769.73085Zienkiewicz, O. C.; Zhu, J. Z. 319 1992 A method of finite element tearing and interconnecting and its parallel solution algorithm. Zbl 0758.65075Farhat, Charbel; Roux, Francois-Xavier 318 1991 Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014Miehe, C.; Welschinger, F.; Hofacker, M. 310 2010 Arbitrary discontinuities in finite elements. Zbl 0981.74062Belytschko, T.; Moës, N.; Usui, S.; Parimi, C. 295 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. 284 1996 Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 277 1995 A point interpolation meshless method based on radial basis functions. Zbl 1098.74741Wang, J. G.; Liu, G. R. 274 2002 A point interpolation method for two-dimensional solids. Zbl 1050.74057Liu, G. R.; Gu, Y. T. 268 2001 Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. Zbl 0768.73082Simo, J. C.; Armero, F. 257 1992 A self-adaptive coordinate transformation for efficient numerical evluation of general boundary element integrals. Zbl 0622.65014Telles, J. C. F. 240 1987 Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T. 232 2000 Reduced integration technique in general analysis of plates and shells. Zbl 0253.73048Zienkiewicz, O. C.; Taylor, R. L.; Too, J. M. 231 1971 A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Zbl 0551.73072Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. 223 1985 Rational approach for assumed stress finite elements. Zbl 0544.73095Pian, T. H. H.; Sumihara, K. 222 1984 A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Zbl 0478.73049Flanagan, D. P.; Belytschko, T. 216 1981 Finite-deformation irreversible cohesive elements for three-dimensional crack propagation analysis. Zbl 0932.74067Ortiz, M.; Pandolfi, A. 213 1999 Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053Hughes, Thomas J. R. 208 1980 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. 206 1996 A Taylor-Galerkin method for convective transport problems. Zbl 0524.65071Donea, Jean 205 1984 Subdivision surfaces: A new paradigm for thin-shell finite element analysis. Zbl 0983.74063Cirak, Fehmi; Ortiz, Michael; Schröder, Peter 197 2000 Arbitrary branched and intersecting cracks with the extended finite element method. Zbl 0989.74066Daux, Christophe; Moës, Nicolas; Dolbow, John; Sukumar, Natarajan; Belytschko, Ted 195 2000 Analysis of functionally graded plates. Zbl 0970.74041Reddy, J. N. 192 2000 Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703Rabczuk, T.; Belytschko, T. 191 2004 A new method for modelling cohesive cracks using finite elements. Zbl 1013.74074Wells, G. N.; Sluys, L. J. 188 2001 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 187 2001 A non-conforming element for stress analysis. Zbl 0338.73041Taylor, Robert L.; Beresford, Peter J.; Wilson, Edward L. 183 1976 Theoretical aspects of the smoothed finite element method (SFEM). Zbl 1194.74432Liu, G. R.; Nguyen, T. T.; Dai, K. Y.; Lam, K. Y. 183 2007 The boundary node method for potential problems. Zbl 0885.65124Mukherjee, Yu Xie; Mukherjee, Subrata 180 1997 CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André 179 2015 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. 176 2002 The dual boundary element method: Effective implementation for crack problems. Zbl 0825.73908Portela, A.; Aliabadi, M. H.; Rooke, D. P. 170 1992 The natural element method in solid mechanics. Zbl 0940.74078Sukumar, N.; Moran, B.; Belytschko, T. 166 1998 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. 165 2002 Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Zbl 1079.74599Guest, J. K.; Prst, J. H.; Belytschko, T. 164 2004 Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019De Borst, René; Mühlhaus, Hans-Bernd 164 1992 Conforming polygonal finite elements. Zbl 1073.65563Sukumar, N.; Tabarraei, A. 162 2004 Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics. Zbl 0332.73022Lachat, J. C.; Watson, J. O. 162 1976 High degree efficient symmetrical Gaussian quadrature rules for the triangle. Zbl 0589.65021Dunavant, D. A. 162 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. 157 2011 Filters in topology optimization. Zbl 0971.74062Bourdin, Blaise 155 2001 Achievements and some unsolved problems of the finite element method. Zbl 0962.76056Zienkiewicz, O. C. 152 2000 A corrected XFEM approximation without problems in blending elements. Zbl 1195.74173Fries, Thomas-Peter 152 2008 A beam finite element nonlinear theory with finite rotations. Zbl 0662.73049Cardona, A.; Geradin, M. 150 1988 High-order extended finite element method for cracked domains. Zbl 1181.74136Laborde, Patrick; Pommier, Julien; Renard, Yves; Salaün, Michel 144 2005 Construction of curvilinear co-ordinate systems and applications to mesh generation. Zbl 0271.65062Gordon, William J.; Hall, Charles A. 140 1973 A formulation of general shell elements - The use of mixed interpolation of tensorial components. Zbl 0585.73123Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. 140 1986 Improved implementation and robustness study of the X-FEM for stress analysis around cracks. Zbl 1122.74499Béchet, E.; Minnebo, H.; Moës, N.; Burgardt, B. 139 2005 High-order compact scheme for the steady stream-function vorticity equations. Zbl 0836.76065Spotz, W. F.; Carey, G. F. 136 1995 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. 132 2009 A return mapping algorithm for plane stress elastoplasticity. Zbl 0585.73059Simo, J. C.; Taylor, R. L. 131 1986 A simple and efficient finite element for plate bending. Zbl 0363.73067Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak 129 1977 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 128 2011 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. 127 2011 Modelling crack growth by level sets in the extended finite element method. Zbl 1022.74049Stolarska, M.; Chopp, D. L.; Moës, N.; Belytschko, T. 127 2001 Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081Hughes, Thomas J. R.; Winget, James 127 1980 The coupling of the finite element method and boundary solution procedures. Zbl 0347.65048Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 123 1977 A study of three-node triangular plate bending elements. Zbl 0463.73071Batoz, Jean-Louis; Bathe, Klaus-Jürgen; Ho, Lee-Wing 123 1980 Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Zbl 0585.73057Ortiz, M.; Popov, E. P. 121 1985 On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122Chessa, Jack; Wang, Hongwu; Belytschko, Ted 120 2003 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 Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup 117 2003 Imposing Dirichlet boundary conditions with Nitsche’s method and spline-based finite elements. Zbl 1197.74178Embar, Anand; Dolbow, John; Harari, Isaac 117 2010 On the use of isoparametric finite elements in linear fracture mechanics. Zbl 0321.73067Barsoum, Roshdy S. 115 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. 115 1977 Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Zbl 0964.76071Bonet, J.; Kulasegaram, S. 115 2000 Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. I: Fundamentals. II: Numerical simulation. Zbl 0888.73018Oliver, J. 114 1996 An analysis of a new class of intergration algorithms for elastoplastic constitutive relations. Zbl 0585.73058Ortiz, M.; Simo, J. C. 114 1986 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 114 1999 Shear deformable shell elements for large strains and rotations. Zbl 0892.73054Bischoff, M.; Ramm, E. 113 1997 A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted 113 2006 Two-dimensional stress intensity factor computations using the boundary element method. Zbl 0463.73082Blandford, George E.; Ingraffea, Anthony R.; Liggett, James A. 111 1981 EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. Zbl 0772.73071Andelfinger, U.; Ramm, E. 110 1993 Topology optimization of continuum structures with local stress constraints. Zbl 0924.73158Duysinx, P.; Bendsøe, M. P. 109 1998 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. 109 2004 A unified stability analysis of meshless particle methods. Zbl 0972.74078Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping 109 2000 Moving-least-squares-particle hydrodynamics. I: Consistency and stability. Zbl 0951.76074Dilts, Gary A. 108 1999 Local and global smoothing of discontinuous finite element functions using a least squares method. Zbl 0286.73066Hinton, E.; Campbell, J. S. 108 1974 The generalized finite element method: An example of its implementation and illustration of its performance. Zbl 0955.65080Strouboulis, T.; Copps, K.; Babuška, I. 106 2000 Nonlinear version of stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1098.74732Chen, Jiun-Shyan; Yoon, Sangpil; Wu, Cheng-Tang 105 2002 A numerical method for heat transfer problems using collocation and radial basis functions. Zbl 0907.65095Zerroukat, M.; Power, H.; Chen, C. S. 105 1998 A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation. Zbl 0844.76060Thompson, Lonny L.; Pinsky, Peter M. 104 1995 Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept. Zbl 0808.73046Büchter, Norbert; Ramm, Ekkehard; Roehl, Deane 104 1994 An efficient finite element method for embedded interface problems. Zbl 1183.76803Dolbow, John; Harari, Isaac 104 2009 A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537Rabczuk, T.; Areias, P. M. A.; Belytschko, T. 102 2007 Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056Miehe, Christian 101 2002 An alpha modification of Newmark’s method. Zbl 0441.73106Wood, W. L.; Bossak, M.; Zienkiewicz, O. C. 101 1980 A posteriori error analysis and adaptive processes in the finite element method. I. Error analysis. Zbl 0534.65068Kelly, D. W.; de S. R. Gago, J. P.; Zienkiewicz, O. C. 101 1983 Dynamic fracture using element-free Galerkin methods. Zbl 0953.74077Belytschko, T.; Tabbara, M. 100 1996 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 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 71 2017 A high-order discontinuous Galerkin method for compressible flows with immersed boundaries. Zbl 1380.65384Müller, B.; Krämer-Eis, S.; Kummer, F.; Oberlack, M. 24 2017 FFT-based homogenization for microstructures discretized by linear hexahedral elements. Zbl 1378.74056Schneider, Matti; Merkert, Dennis; Kabel, Matthias 24 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 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. 16 2017 A stochastic simplex approximate gradient (StoSAG) for optimization under uncertainty. Zbl 1365.90177Fonseca, Rahul Rahul-Mark; Chen, Bailian; Jansen, Jan Dirk; Reynolds, Albert 15 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 11 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 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 Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation. Zbl 1378.74054Zhang, Wenbo; Kang, Zhan 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 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 Transmitting boundary conditions for 1D peridynamics. Zbl 1375.74010Wang, Linjuan; Chen, Yongshuai; Xu, Jifeng; Wang, Jianxiang 5 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 Accelerating oil reservoir simulations using POD on the fly. Zbl 1378.86009Le Clainche, Soledad; Varas, Fernando; Vega, José M. 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 A new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions. Zbl 1367.65165Boutagouga, Djamel 2 2017 Variational projection methods for gradient crystal plasticity using Lie algebras. Zbl 1375.74021Truster, Timothy J.; Nassif, Omar 2 2017 An efficient sparse matrix-vector multiplication on CUDA-enabled graphic processing units for finite element method simulations. Zbl 1378.65095Altinkaynak, Atakan 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 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 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 Higher-order accurate integration of implicit geometries. Zbl 1352.65498Fries, Thomas-Peter; Omerović, Samir 43 2016 An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics. Zbl 1352.74119Hillman, Michael; Chen, Jiun-Shyan 35 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. 31 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 28 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 Efficient implementation of high-order finite elements for Helmholtz problems. Zbl 1352.76042Bériot, Hadrien; Prinn, Albert; Gabard, Gwénaël 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 20 2016 A monotone nonlinear finite volume method for approximating diffusion operators on general meshes. Zbl 1352.65428Camier, Jean-Sylvain; Hermeline, Francois 17 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. 15 2016 Discontinuous finite volume methods for the stationary Stokes-Darcy problem. Zbl 1352.76078Wang, Gang; He, Yinnian; Li, Rui 15 2016 POD-based model reduction with empirical interpolation applied to nonlinear elasticity. Zbl 1352.74048Radermacher, Annika; Reese, Stefanie 15 2016 A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials. Zbl 1352.74082Liu, Yang; Sun, Waiching; Yuan, Zifeng; Fish, Jacob 12 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. 12 2016 The finite element square reduced (\(FE^{2R}\)) method with GPU acceleration: towards three-dimensional two-scale simulations. Zbl 1352.74352Fritzen, Felix; Hodapp, Max 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 11 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. 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 Topology optimization of multiscale elastoviscoplastic structures. Zbl 1352.74239Fritzen, Felix; Xia, Liang; Leuschner, Matthias; Breitkopf, Piotr 9 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 9 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 9 2016 A 10-node composite tetrahedral finite element for solid mechanics. Zbl 1352.74421Ostien, J. T.; Foulk, J. W.; Mota, A.; Veilleux, M. G. 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 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 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 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 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 On the adaptive finite element analysis of the Kohn-Sham equations: methods, algorithms, and implementation. Zbl 1352.65460Davydov, Denis; Young, Toby D.; Steinmann, Paul 6 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 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 Dynamic flow-based particle splitting in smoothed particle hydrodynamics. Zbl 1352.65408Khorasanizade, Sh.; Sousa, J. M. M. 5 2016 An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions. Zbl 1352.76083Li, Zhilin 5 2016 Fourth-order energy-preserving locally implicit time discretization for linear wave equations. Zbl 1352.65334Chabassier, J.; Imperiale, S. 5 2016 Error estimation for the automated multi-level substructuring method. Zbl 1352.74329Boo, Seung-Hwan; Kim, Jin-Gyun; Lee, Phill-Seung 5 2016 A multiscale approach to the computational characterization of magnetorheological elastomers. Zbl 1352.74088Keip, Marc-Andre; Rambausek, Matthias 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 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 Nonlinear model reduction via a locally weighted POD method. Zbl 1352.65535Peng, Liqian; Mohseni, Kamran 4 2016 Mesh objective continuum damage models for ductile fracture. Zbl 1352.74289Larsson, Ragnar; Razanica, Senad; Josefson, B. Lennart 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 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 A two-level domain decomposition method with accurate interface conditions for the Helmholtz problem. Zbl 1352.74319Astaneh, Ali Vaziri; Guddati, Murthy N. 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 Approximate optimal projection for reduced-order models. Zbl 1360.65267Oberai, Assad A.; Jagalur-Mohan, Jayanth 4 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. 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 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 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 Ellipsoidal load-domain shakedown analysis with von Mises yield criterion: A robust optimization approach. Zbl 1352.74233Yamaguchi, Takashi; Kanno, Yoshihiro 3 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 Numerical implementation and validation of a consistently homogenized higher order plasticity model. Zbl 1352.74267Poh, L. H.; Phan, V. T. 2 2016 An adaptive model order reduction with quasi-Newton method for nonlinear dynamical problems. Zbl 1352.65184Nigro, P. S. B.; Anndif, M.; Teixeira, Y.; Pimenta, P. M.; Wriggers, P. 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 Dual-based adaptive FEM for inelastic problems with standard FE implementations. Zbl 1352.74447Widany, K.-U.; Mahnken, R. 2 2016 A three-dimensional surface stress tensor formulation for simulation of adhesive contact in finite deformation. Zbl 1352.74201Fan, Houfu; Li, Shaofan 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 ...and 1710 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 35,952 Authors 195 Liu, Gui-Rong 154 Wriggers, Peter 144 Belytschko, Ted Bohdan 139 Dehghan Takht Fooladi, Mehdi 131 Oñate Ibáñez de Navarra, Eugenio 130 Rabczuk, Timon 126 Steinmann, Paul 124 Liu, Wing Kam 122 Hughes, Thomas J. R. 100 Liew, Kim Meow 90 Wall, Wolfgang A. 84 Farhat, Charbel H. 81 Zhang, Chuanzeng 80 Bordas, Stéphane Pierre Alain 75 Babuška, Ivo 75 Bazilevs, Yuri 74 Nguyen-Xuan, Hung 74 Reddy, Junuthula Narasimha 74 Tezduyar, Tayfun E. 72 Miehe, Christian 71 Huerta, Antonio 70 Idelsohn, Sergio Rodolfo 68 Paulino, Glaucio H. 67 Beirão da Veiga, Lourenço 67 Ortiz, Michael 66 de Borst, René 65 Li, Xiaolin 64 Ferri Aliabadi, Mohammad Hossien 64 Ibrahimbegović, Adnan 64 Kaveh, Ali 63 Oden, John Tinsley 63 Sladek, Jan 63 Sladek, Vladimir 62 Fish, Jacob 62 Zheng, Hong 60 Chen, Jiun-Shyan 60 Sigmund, Ole 59 Codina, Ramon 58 Auricchio, Ferdinando 57 Ladevèze, Pierre 56 Li, Guangyao 56 Song, Chongmin 54 Chen, Wen 54 Düster, Alexander 54 Givoli, Dan 54 Lesnic, Daniel 54 Rank, Ernst 54 Wohlmuth, Barbara I. 53 Zhang, Jianming 52 Chen, Yanping 52 Harari, Isaac 52 Power, Henry 52 Sluys, Lambertus Johannes 51 Chinesta, Francisco 51 Gao, Xiaowei 50 Quarteroni, Alfio M. 49 Carey, Graham Francis 49 Soize, Christian 48 Chen, Jeng-Tzong 48 Takizawa, Kenji 48 Tamma, Kumar K. 47 Díez, Pedro 47 Soares, Delfim jun. 47 Zohdi, Tarek I. 46 Löhner, Rainald 46 Mansur, Webe Joao 46 Nguyen-Thoi, Trung 46 Rozza, Gianluigi 46 Stein, Erwin 45 Gu, Yan 45 Lewis, Roland W. 45 Mukherjee, Subrata 44 Bui, Tinh Quoc 44 Calo, Victor Manuel 44 Geers, Marc G. D. 44 Huang, Yunqing 44 Natarajan, Sundararajan 44 Sukumar, Natarajan 44 Zhuang, Xiaoying 43 Hansbo, Peter 43 Larson, Mats G. 43 Nithiarasu, Perumal 43 Zienkiewicz, Olgierd Cecil 42 Desmet, Wim 42 Hsu, Ming-Chen 42 Marin, Liviu 42 Owen, D. Roger J. 42 Papadrakakis, Manolis 42 Qin, Qinghua 42 Taylor, Robert Leroy 41 Betsch, Peter 41 Bonet, Javier 41 Demkowicz, Leszek F. 41 Han, Xu 41 Larsson, Fredrik 41 Simos, Theodore E. 40 Areias, Pedro M. A. 40 Askes, Harm 40 Chung, Tsz Shun Eric 40 Gray, Leonard J. ...and 35,852 more Authors all top 5 Cited in 636 Journals 6,541 Computer Methods in Applied Mechanics and Engineering 2,688 International Journal for Numerical Methods in Engineering 2,238 Engineering Analysis with Boundary Elements 2,030 Journal of Computational Physics 1,788 Computational Mechanics 960 Applied Mathematical Modelling 840 Computers & Mathematics with Applications 840 Journal of Computational and Applied Mathematics 717 Applied Mathematics and Computation 715 Communications in Numerical Methods in Engineering 704 Computers and Fluids 568 Acta Mechanica 540 European Journal of Mechanics. A. Solids 435 Applied Numerical Mathematics 410 International Journal of Computational Methods 405 Journal of Scientific Computing 388 International Journal for Numerical Methods in Fluids 356 SIAM Journal on Scientific Computing 337 Engineering Computations 314 Journal of the Mechanics and Physics of Solids 291 International Journal of Solids and Structures 290 Mathematical Problems in Engineering 264 Structural and Multidisciplinary Optimization 254 Numerische Mathematik 201 Meccanica 194 Applied Mathematics and Mechanics. (English Edition) 188 Mathematics of Computation 184 International Journal of Computer Mathematics 180 Journal of Fluid Mechanics 178 Archive of Applied Mechanics 175 International Journal of Engineering Science 175 Archives of Computational Methods in Engineering 174 International Journal of Numerical Methods for Heat & Fluid Flow 173 Multibody System Dynamics 170 Numerical Methods for Partial Differential Equations 168 Acta Mechanica Sinica 162 Mathematics and Computers in Simulation 157 Computational Geosciences 149 International Journal of Fracture 140 Inverse Problems in Science and Engineering 138 Mathematics and Mechanics of Solids 137 International Journal for Numerical and Analytical Methods in Geomechanics 130 International Journal for Numerical Methods in Biomedical Engineering 125 International Journal of Computational Fluid Dynamics 124 Advances in Computational Mathematics 123 Wave Motion 117 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 117 Nonlinear Dynamics 109 SIAM Journal on Numerical Analysis 109 Mathematical and Computer Modelling 108 Numerical Algorithms 107 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 104 Communications in Computational Physics 93 Computer Aided Geometric Design 89 COMPEL 87 Journal of Engineering Mathematics 87 Continuum Mechanics and Thermodynamics 86 Journal of Elasticity 86 Advances in Applied Mathematics and Mechanics 84 BIT 81 Computing 81 Communications in Nonlinear Science and Numerical Simulation 77 International Journal of Structural Stability and Dynamics 76 International Journal of Plasticity 76 Computational and Applied Mathematics 74 International Journal for Computational Methods in Engineering Science and Mechanics 73 Journal of Mathematical Analysis and Applications 73 Journal of Computational Acoustics 72 International Journal of Heat and Mass Transfer 71 Applied Mathematics Letters 70 Computer Physics Communications 64 SIAM/ASA Journal on Uncertainty Quantification 62 Optimization and Engineering 61 Mathematical Methods in the Applied Sciences 61 Journal of Optimization Theory and Applications 60 Physics of Fluids 60 European Journal of Mechanics. B. Fluids 59 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 58 Mechanics Research Communications 55 Numerical Linear Algebra with Applications 54 Calcolo 54 Linear Algebra and its Applications 54 Journal of Vibration and Control 52 ZAMP. Zeitschrift für angewandte Mathematik und Physik 52 Advances in Engineering Software 52 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 50 Journal of Applied Mathematics 43 Computational Methods in Applied Mathematics 42 Abstract and Applied Analysis 41 Ingenieur-Archiv 39 RAIRO. Modélisation Mathématique et Analyse Numérique 39 Comptes Rendus. Mathématique. Académie des Sciences, Paris 38 Applicable Analysis 36 European Journal of Operational Research 35 Computational Optimization and Applications 33 Journal of the Franklin Institute 33 Numerical Functional Analysis and Optimization 33 Sādhanā 33 GAMM-Mitteilungen 32 International Journal of Applied and Computational Mathematics ...and 536 more Journals all top 5 Cited in 60 Fields 18,458 Mechanics of deformable solids (74-XX) 16,205 Numerical analysis (65-XX) 8,023 Fluid mechanics (76-XX) 4,931 Partial differential equations (35-XX) 1,298 Classical thermodynamics, heat transfer (80-XX) 958 Operations research, mathematical programming (90-XX) 937 Biology and other natural sciences (92-XX) 922 Optics, electromagnetic theory (78-XX) 877 Calculus of variations and optimal control; optimization (49-XX) 837 Mechanics of particles and systems (70-XX) 593 Geophysics (86-XX) 571 Ordinary differential equations (34-XX) 537 Computer science (68-XX) 495 Statistical mechanics, structure of matter (82-XX) 430 Approximations and expansions (41-XX) 395 Systems theory; control (93-XX) 361 Statistics (62-XX) 344 Probability theory and stochastic processes (60-XX) 298 Integral equations (45-XX) 225 Dynamical systems and ergodic theory (37-XX) 191 Linear and multilinear algebra; matrix theory (15-XX) 127 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 108 Information and communication theory, circuits (94-XX) 101 Real functions (26-XX) 98 Potential theory (31-XX) 97 Operator theory (47-XX) 97 Quantum theory (81-XX) 87 Combinatorics (05-XX) 81 Harmonic analysis on Euclidean spaces (42-XX) 67 Special functions (33-XX) 66 Integral transforms, operational calculus (44-XX) 62 Differential geometry (53-XX) 49 Functions of a complex variable (30-XX) 44 Convex and discrete geometry (52-XX) 43 Functional analysis (46-XX) 40 Global analysis, analysis on manifolds (58-XX) 39 General and overarching topics; collections (00-XX) 36 History and biography (01-XX) 26 Difference and functional equations (39-XX) 19 Geometry (51-XX) 19 Relativity and gravitational theory (83-XX) 18 Astronomy and astrophysics (85-XX) 11 Number theory (11-XX) 10 Topological groups, Lie groups (22-XX) 10 Manifolds and cell complexes (57-XX) 9 Measure and integration (28-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Mathematics education (97-XX) 4 Mathematical logic and foundations (03-XX) 4 General algebraic systems (08-XX) 4 Algebraic geometry (14-XX) 4 Algebraic topology (55-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 3 Abstract harmonic analysis (43-XX) 2 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 General topology (54-XX) Citations by Year