## 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.
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### 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
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### 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)

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7,333 Publications have been cited 106,784 times in 36,944 Documents Cited by Year
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A finite element method for crack growth without remeshing. Zbl 0955.74066
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1999
Gmsh: a 3-D finite element mesh generator with built-in pre- and post-processing facilities. Zbl 1176.74181
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Elastic crack growth in finite elements with minimal remeshing. Zbl 0943.74061
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1999
The partition of unity method. Zbl 0949.65117
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A simple error estimator and adaptive procedure for practical engineering analysis. Zbl 0602.73063
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The method of moving asymptotes - A new method for structural optimization. Zbl 0602.73091
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The superconvergent patch recovery and $$a\;posteriori$$ error estimates. I: The recovery technique. Zbl 0769.73084
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1992
A class of mixed assumed strain methods and the method of incompatible modes. Zbl 0724.73222
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A stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1011.74081
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2001
The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169
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A-posteriori error estimates for the finite element method. Zbl 0396.65068
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Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. Zbl 1202.74014
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A method of finite element tearing and interconnecting and its parallel solution algorithm. Zbl 0758.65075
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The superconvergent patch recovery and $$a\;posteriori$$ error estimates. II: Error estimates and adaptivity. Zbl 0769.73085
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1992
Arbitrary discontinuities in finite elements. Zbl 0981.74062
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A finite point method in computational mechanics. Applications to convective transport and fluid flow. Zbl 0884.76068
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1996
A point interpolation meshless method based on radial basis functions. Zbl 1098.74741
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2002
Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078
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1995
A point interpolation method for two-dimensional solids. Zbl 1050.74057
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2001
Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. Zbl 0768.73082
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1992
Non-planar 3D crack growth by the extended finite element and level sets. I: Mechanical model. II: Level set update. Zbl 1169.74621
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2002
A self-adaptive coordinate transformation for efficient numerical evluation of general boundary element integrals. Zbl 0622.65014
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1987
Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067
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2000
Reduced integration technique in general analysis of plates and shells. Zbl 0253.73048
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1971
A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Zbl 0478.73049
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1981
A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Zbl 0551.73072
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1985
Rational approach for assumed stress finite elements. Zbl 0544.73095
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1984
Gradient enhanced damage for quasi-brittle materials. Zbl 0882.73057
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Finite-deformation irreversible cohesive elements for three-dimensional crack propagation analysis. Zbl 0932.74067
Ortiz, M.; Pandolfi, A.
1999
CutFEM: discretizing geometry and partial differential equations. Zbl 1352.65604
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2015
Generalization of selective integration procedures to anisotropic and nonlinear media. Zbl 0437.73053
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1980
A Taylor-Galerkin method for convective transport problems. Zbl 0524.65071
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1984
Subdivision surfaces: A new paradigm for thin-shell finite element analysis. Zbl 0983.74063
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2000
Analysis of functionally graded plates. Zbl 0970.74041
Reddy, J. N.
2000
Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703
Rabczuk, T.; Belytschko, T.
2004
Arbitrary branched and intersecting cracks with the extended finite element method. Zbl 0989.74066
Daux, Christophe; Moës, Nicolas; Dolbow, John; Sukumar, Natarajan; Belytschko, Ted
2000
FETI-DP: A dual-prime unified FETI method. I: A faster alternative to the two-level FETI method. Zbl 1008.74076
Farhat, Charbel; Lesoinne, Michel; LeTallec, Patrick; Pierson, Kendall; Rixen, Daniel
2001
Theoretical aspects of the smoothed finite element method (SFEM). Zbl 1194.74432
Liu, G. R.; Nguyen, T. T.; Dai, K. Y.; Lam, K. Y.
2007
A new method for modelling cohesive cracks using finite elements. Zbl 1013.74074
Wells, G. N.; Sluys, L. J.
2001
Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme. Zbl 1058.74070
Kouznetsova, V.; Geers, M. G. D.; Brekelmans, W. A. M.
2002
A non-conforming element for stress analysis. Zbl 0338.73041
Taylor, Robert L.; Beresford, Peter J.; Wilson, Edward L.
1976
The natural element method in solid mechanics. Zbl 0940.74078
Sukumar, N.; Moran, B.; Belytschko, T.
1998
The boundary node method for potential problems. Zbl 0885.65124
Mukherjee, Yu Xie; Mukherjee, Subrata
1997
The dual boundary element method: Effective implementation for crack problems. Zbl 0825.73908
Portela, A.; Aliabadi, M. H.; Rooke, D. P.
1992
Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Zbl 1079.74599
Guest, J. K.; Prst, J. H.; Belytschko, T.
2004
Conforming polygonal finite elements. Zbl 1073.65563
Sukumar, N.; Tabarraei, A.
2004
High degree efficient symmetrical Gaussian quadrature rules for the triangle. Zbl 0589.65021
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1985
Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019
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1992
Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097
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Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics. Zbl 0332.73022
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1976
Filters in topology optimization. Zbl 0971.74062
Bourdin, Blaise
2001
Achievements and some unsolved problems of the finite element method. Zbl 0962.76056
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2000
A corrected XFEM approximation without problems in blending elements. Zbl 1195.74173
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2008
A beam finite element nonlinear theory with finite rotations. Zbl 0662.73049
1988
Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. I: Fundamentals. II: Numerical simulation. Zbl 0888.73018
Oliver, J.
1996
High-order extended finite element method for cracked domains. Zbl 1181.74136
Laborde, Patrick; Pommier, Julien; Renard, Yves; Salaün, Michel
2005
Construction of curvilinear co-ordinate systems and applications to mesh generation. Zbl 0271.65062
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1973
High-order compact scheme for the steady stream-function vorticity equations. Zbl 0836.76065
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1995
Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. Zbl 1235.74351
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2011
Improved implementation and robustness study of the X-FEM for stress analysis around cracks. Zbl 1122.74499
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2005
A formulation of general shell elements - The use of mixed interpolation of tensorial components. Zbl 0585.73123
Bathe, Klaus-Jürgen; Dvorkin, Eduardo N.
1986
A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically nonlinear solid mechanics problems using 4-node tetrahedral elements. Zbl 1183.74299
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2009
A return mapping algorithm for plane stress elastoplasticity. Zbl 0585.73059
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1986
A simple and efficient finite element for plate bending. Zbl 0363.73067
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1977
Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243
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2011
Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Zbl 0463.73081
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1980
Modelling crack growth by level sets in the extended finite element method. Zbl 1022.74049
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2001
Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Zbl 0585.73057
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1985
The coupling of the finite element method and boundary solution procedures. Zbl 0347.65048
Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P.
1977
A study of three-node triangular plate bending elements. Zbl 0463.73071
Batoz, Jean-Louis; Bathe, Klaus-Jürgen; Ho, Lee-Wing
1980
Imposing Dirichlet boundary conditions with Nitsche’s method and spline-based finite elements. Zbl 1197.74178
Embar, Anand; Dolbow, John; Harari, Isaac
2010
Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions. Zbl 0957.65098
Deraemaeker, Arnaud; Babuška, Ivo; Bouillard, Philippe
1999
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662
Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup
2003
On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122
Chessa, Jack; Wang, Hongwu; Belytschko, Ted
2003
Shear deformable shell elements for large strains and rotations. Zbl 0892.73054
Bischoff, M.; Ramm, E.
1997
The vectorization of ITPACK 2C. Zbl 0714.65036
Oppe, Thomas C.
1989
A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078
Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted
2006
Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Zbl 0964.76071
Bonet, J.; Kulasegaram, S.
2000
Finite element methods for second order differential equations with significant first derivatives. Zbl 0342.65065
Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Zienkiewicz, O. C.
1976
A unified stability analysis of meshless particle methods. Zbl 0972.74078
Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping
2000
On the use of isoparametric finite elements in linear fracture mechanics. Zbl 0321.73067
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1976
An ’upwind’ finite element scheme for two-dimensional convective transport equation. Zbl 0353.65065
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1977
The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves. Zbl 1075.76576
Idelsohn, S. R.; Oñate, E.; Del Pin, F.
2004
An analysis of a new class of intergration algorithms for elastoplastic constitutive relations. Zbl 0585.73058
Ortiz, M.; Simo, J. C.
1986
Topology optimization of continuum structures with local stress constraints. Zbl 0924.73158
Duysinx, P.; Bendsøe, M. P.
1998
Two-dimensional stress intensity factor computations using the boundary element method. Zbl 0463.73082
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1981
EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements. Zbl 0772.73071
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1993
Moving-least-squares-particle hydrodynamics. I: Consistency and stability. Zbl 0951.76074
Dilts, Gary A.
1999
Local and global smoothing of discontinuous finite element functions using a least squares method. Zbl 0286.73066
Hinton, E.; Campbell, J. S.
1974
Nonlinear version of stabilized conforming nodal integration for Galerkin mesh-free methods. Zbl 1098.74732
Chen, Jiun-Shyan; Yoon, Sangpil; Wu, Cheng-Tang
2002
The generalized finite element method: An example of its implementation and illustration of its performance. Zbl 0955.65080
Strouboulis, T.; Copps, K.; Babuška, I.
2000
A numerical method for heat transfer problems using collocation and radial basis functions. Zbl 0907.65095
Zerroukat, M.; Power, H.; Chen, C. S.
1998
An alpha modification of Newmark’s method. Zbl 0441.73106
Wood, W. L.; Bossak, M.; Zienkiewicz, O. C.
1980
A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537
Rabczuk, T.; Areias, P. M. A.; Belytschko, T.
2007
An efficient finite element method for embedded interface problems. Zbl 1183.76803
Dolbow, John; Harari, Isaac
2009
A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation. Zbl 0844.76060
Thompson, Lonny L.; Pinsky, Peter M.
1995
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems. Zbl 0969.70004
Kane, C.; Marsden, J. E.; Ortiz, M.; West, M.
2000
Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept. Zbl 0808.73046
Büchter, Norbert; Ramm, Ekkehard; Roehl, Deane
1994
Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Zbl 1027.74056
Miehe, Christian
2002
Multiphase topology optimization with a single variable using the phase-field design method. Zbl 1425.74379
Seong, Hong Kyoung; Kim, Cheol Woong; Yoo, Jeonghoon; Lee, Jaewook
2019
Topology optimization of exterior acoustic-structure interaction systems using the coupled FEM-BEM method. Zbl 1425.74384
Zhao, Wenchang; Chen, Leilei; Chen, Haibo; Marburg, Steffen
2019
Critical time step for DEM simulations of dynamic systems using a Hertzian contact model. Zbl 1425.74501
Burns, Shane J.; Piiroinen, Petri T.; Hanley, Kevin J.
2019
An embedded boundary method for an inviscid compressible flow coupled to deformable thin structures: the mediating body method. Zbl 1427.65206
Jamond, O.; Beccantini, A.
2019
A simple explicit single step time integration algorithm for structural dynamics. Zbl 1425.74474
Kim, Wooram
2019
Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach. Zbl 1365.74138
Zhao, Jia; Wang, Qi; Yang, Xiaofeng
2017
FFT-based homogenization for microstructures discretized by linear hexahedral elements. Zbl 1378.74056
Schneider, Matti; Merkert, Dennis; Kabel, Matthias
2017
A high-order discontinuous Galerkin method for compressible flows with immersed boundaries. Zbl 1380.65384
Müller, B.; Krämer-Eis, S.; Kummer, F.; Oberlack, M.
2017
F-bar aided edge-based smoothed finite element method using tetrahedral elements for finite deformation analysisof nearly incompressible solids. Zbl 1380.65386
Onishi, Y.; Iida, R.; Amaya, K.
2017
Exact imposition of essential boundary condition and material interface continuity in Galerkin-based meshless methods. Zbl 1369.65152
Zheng, Hong; Li, Wei; Du, Xiuli
2017
A stochastic simplex approximate gradient (StoSAG) for optimization under uncertainty. Zbl 1365.90177
Fonseca, Rahul Rahul-Mark; Chen, Bailian; Jansen, Jan Dirk; Reynolds, Albert
2017
A local RBF collocation method for band structure computations of 2D solid/fluid and fluid/solid phononic crystals. Zbl 1378.74027
2017
Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales. Zbl 1365.80011
Paladim, D. A.; Moitinho de Almeida, J. P.; Bordas, S. P. A.; Kerfriden, Pierre
2017
Robust shape and topology optimization considering geometric uncertainties with stochastic level set perturbation. Zbl 1378.74054
Zhang, Wenbo; Kang, Zhan
2017
Coupled FE-BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain. Zbl 1365.74072
Zheng, C. J.; Zhang, C.; Bi, C. X.; Gao, H. F.; Du, L.; Chen, H. B.
2017
Nitsche’s method for Helmholtz problems with embedded interfaces. Zbl 1365.35018
Zou, Zilong; Aquino, Wilkins; Harari, Isaac
2017
Transmitting boundary conditions for 1D peridynamics. Zbl 1375.74010
Wang, Linjuan; Chen, Yongshuai; Xu, Jifeng; Wang, Jianxiang
2017
Solving large-scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh-Ritz method. Zbl 1367.65162
Xiao, Jinyou; Zhang, Chuanzeng; Huang, Tsung-Ming; Sakurai, Tetsuya
2017
Mixed Eulerian-Lagrangian description in materials processing: deformation of a metal sheet in a rolling mill. Zbl 1378.74015
Vetyukov, Yu.; Gruber, P. G.; Krommer, M.; Gerstmayr, J.; Gafur, I.; Winter, G.
2017
A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. Zbl 1365.65265
Wan, Detao; Hu, Dean; Natarajan, Sundararajan; Bordas, Stéphane P. A.; Yang, Gang
2017
The stochastic Galerkin scaled boundary finite element method on random domain. Zbl 1365.65252
Do, Duy Minh; Gao, Wei; Saputra, Albert A.; Song, Chongmin; Leong, Chi Hang
2017
Accelerating oil reservoir simulations using POD on the fly. Zbl 1378.86009
Le Clainche, Soledad; Varas, Fernando; Vega, José M.
2017
On the treatments of heterogeneities and periodic boundary conditions for isogeometric homogenization analysis. Zbl 1378.74055
Matsubara, Seishiro; Nishi, Shin-Nosuke; Terada, Kenjiro
2017
A partitioned approach for the coupling of SPH and FE methods for transient nonlinear FSI problems with incompatible time-steps. Zbl 1378.74025
Nunez-Ramirez, Jorge; Marongiu, Jean-Christophe; Brun, Michaël; Combescure, Alain
2017
A new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions. Zbl 1367.65165
Boutagouga, Djamel
2017
Variational projection methods for gradient crystal plasticity using Lie algebras. Zbl 1375.74021
Truster, Timothy J.; Nassif, Omar
2017
Enhanced goal-oriented error assessment and computational strategies in adaptive reduced basis solver for stochastic problems. Zbl 1378.74076
Serafin, Kevin; Magnain, Benoît; Florentin, Eric; Parés, Núria; Díez, Pedro
2017
Lattice spring methods for arbitrary meshes in two and three dimensions. Zbl 1375.74091
Reck, M.
2017
An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of conjugate heat transfer problems. Zbl 1375.80014
Ojeda, Steven M.; Sun, Huafei; Allmaras, Steven R.; Darmofal, David L.
2017
An efficient sparse matrix-vector multiplication on CUDA-enabled graphic processing units for finite element method simulations. Zbl 1378.65095
Altinkaynak, Atakan
2017
An automatic method for generating carbon nanostructure atomistic models using hexagonal meshes with properly distributed defects. Zbl 1378.82061
Shang, Feifei; Zeng, Zhen; Liu, Jianfei; Chen, Tingfei
2017
Mean-strain 10-node tetrahedron with energy-sampling stabilization. Zbl 1378.74009
Pakravan, Alireza; Krysl, Petr
2017
Globalization technique for projected Newton-Krylov methods. Zbl 1365.35069
Chen, Jinhai; Vuik, Cornelis
2017
Enriching the finite element method with meshfree particles in structural mechanics. Zbl 1365.74156
Zanette, A.; Ferronato, Massimiliano; Janna, C.
2017
Time integration of mechanical systems with elastohydrodynamic lubricated joints using quasi-Newton method and projection formulations. Zbl 1366.70006
Krinner, Andreas; Schindler, T.; Rixen, D. J.
2017
A Lagrangian cell-centred finite volume method for metal forming simulation. Zbl 1365.65202
Cardiff, Philip; Tuković, Ž.; De Jaeger, P.; Clancy, M.; Ivanković, A.
2017
Mesh-free models for static analysis of smart laminated composite beams. Zbl 1365.74103
Ray, M. C.
2017
Higher-order accurate integration of implicit geometries. Zbl 1352.65498
Fries, Thomas-Peter; Omerović, Samir
2016
An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics. Zbl 1352.74119
Hillman, Michael; Chen, Jiun-Shyan
2016
Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity. Zbl 1352.74467
Lian, Haojie; Kerfriden, Pierre; Bordas, Stéphane P. A.
2016
A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach. Zbl 1352.74434
Scovazzi, Guglielmo; Carnes, Brian; Zeng, Xianyi; Rossi, Simone
2016
A meshless singular boundary method for three-dimensional elasticity problems. Zbl 1352.74039
Gu, Yan; Chen, Wen; Gao, Hongwei; Zhang, Chuanzeng
2016
On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations. Zbl 1360.65250
Shivanian, Elyas
2016
The tetrahedral finite cell method: higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes. Zbl 1352.65558
Varduhn, Vasco; Hsu, Ming-Chen; Ruess, Martin; Schillinger, Dominik
2016
Efficient implementation of high-order finite elements for Helmholtz problems. Zbl 1352.76042
Bériot, Hadrien; Prinn, Albert; Gabard, Gwénaël
2016
A phase-field model for chemo-mechanical induced fracture in lithium-ion battery electrode particles. Zbl 1352.74116
Miehe, C.; Dal, H.; Schänzel, L.-M.; Raina, A.
2016
A monotone nonlinear finite volume method for approximating diffusion operators on general meshes. Zbl 1352.65428
Camier, Jean-Sylvain; Hermeline, Francois
2016
POD-based model reduction with empirical interpolation applied to nonlinear elasticity. Zbl 1352.74048
2016
Discontinuous finite volume methods for the stationary Stokes-Darcy problem. Zbl 1352.76078
Wang, Gang; He, Yinnian; Li, Rui
2016
Comparison of implicit and explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation. Zbl 1352.76058
Kronbichler, M.; Schoeder, S.; Müller, C.; Wall, W. A.
2016
A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials. Zbl 1352.74082
Liu, Yang; Sun, Waiching; Yuan, Zifeng; Fish, Jacob
2016
The finite element square reduced ($$FE^{2R}$$) method with GPU acceleration: towards three-dimensional two-scale simulations. Zbl 1352.74352
Fritzen, Felix; Hodapp, Max
2016
On the enhancement of low-order mixed finite element methods for the large deformation analysis of diffusion in solids. Zbl 1352.74384
Krischok, Andreas; Linder, Christian
2016
A distortion measure to validate and generate curved high-order meshes on CAD surfaces with independence of parameterization. Zbl 1352.65053
Gargallo-Peiró, A.; Roca, X.; Peraire, J.; Sarrate, J.
2016
Strain gradient stabilization with dual stress points for the meshfree nodal integration method in inelastic analyses. Zbl 1352.74060
Wu, Cheng-Tang; Chi, Sheng-Wei; Koishi, Masataka; Wu, Youcai
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 1352.90028
Lim, Jongmin; Lee, Byungchai; Lee, Ikjin
2016
An interface integral equation method for solving general multi-medium mechanics problems. Zbl 1352.74031
Gao, Xiao-Wei; Feng, Wei-Zhe; Zheng, Bao-Jing; Yang, Kai
2016
A 10-node composite tetrahedral finite element for solid mechanics. Zbl 1352.74421
Ostien, J. T.; Foulk, J. W.; Mota, A.; Veilleux, M. G.
2016
Topology optimization of multiscale elastoviscoplastic structures. Zbl 1352.74239
Fritzen, Felix; Xia, Liang; Leuschner, Matthias; Breitkopf, Piotr
2016
Modeling arbitrary crack propagation in coupled shell/solid structures with X-FEM. Zbl 1352.74309
Zeng, Qinglei; Liu, Zhanli; Xu, Dandan; Wang, Heng; Zhuang, Zhuo
2016
Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction. Zbl 1352.74405
May, Stefan; Vignollet, Julien; De Borst, René
2016
A fast, memory efficient and robust sparse preconditioner based on a multifrontal approach with applications to finite-element matrices. Zbl 1352.65451
Aminfar, Amirhossein; Darve, Eric
2016
The particle finite element method (PFEM) in thermo-mechanical problems. Zbl 1352.74426
Rodriguez, J. M.; Carbonell, J. M.; Cante, J. C.; Oliver, J.
2016
Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver. Zbl 1352.74237
Dunning, Peter D.; Ovtchinnikov, Evgueni; Scott, Jennifer; Kim, H. Alicia
2016
Projection-based model reduction for contact problems. Zbl 1352.74196
Balajewicz, Maciej; Amsallem, David; Farhat, Charbel
2016
A ‘nodeless’ dual superelement formulation for structural and multibody dynamics application to reduction of contact problems. Zbl 1352.65343
2016
On the adaptive finite element analysis of the Kohn-Sham equations: methods, algorithms, and implementation. Zbl 1352.65460
Davydov, Denis; Young, Toby D.; Steinmann, Paul
2016
A thermo-hydro-mechanical model for multiphase geomaterials in dynamics with application to strain localization simulation. Zbl 1352.74180
Cao, T. D.; Sanavia, L.; Schrefler, B. A.
2016
A multiscale approach to the computational characterization of magnetorheological elastomers. Zbl 1352.74088
Keip, Marc-Andre; Rambausek, Matthias
2016
Improved guaranteed computable bounds on homogenized properties of periodic media by the Fourier-Galerkin method with exact integration. Zbl 1352.74269
Vondřejc, Jaroslav
2016
Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics. Zbl 1352.74381
Kolman, Radek; Plešek, Jiří; Červ, Jan; Okrouhlík, Miloslav; Pařík, Petr
2016
Dynamic flow-based particle splitting in smoothed particle hydrodynamics. Zbl 1352.65408
Khorasanizade, Sh.; Sousa, J. M. M.
2016
Fourth-order energy-preserving locally implicit time discretization for linear wave equations. Zbl 1352.65334
Chabassier, J.; Imperiale, S.
2016
A two-level domain decomposition method with accurate interface conditions for the Helmholtz problem. Zbl 1352.74319
Astaneh, Ali Vaziri; Guddati, Murthy N.
2016
Approximate optimal projection for reduced-order models. Zbl 1360.65267
2016
Statistical reconstruction and Karhunen-Loève expansion for multiphase random media. Zbl 1358.74004
Feng, J. W.; Cen, S.; Li, C. F.; Owen, D. R. J.
2016
An incremental energy minimization state update algorithm for 3D phenomenological internal-variable SMA constitutive models based on isotropic flow potentials. Zbl 1358.74043
Artioli, E.; Bisegna, P.
2016
Nonlinear model reduction via a locally weighted POD method. Zbl 1352.65535
Peng, Liqian; Mohseni, Kamran
2016
An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions. Zbl 1352.76083
Li, Zhilin
2016
Mesh objective continuum damage models for ductile fracture. Zbl 1352.74289
2016
Error estimation for the automated multi-level substructuring method. Zbl 1352.74329
Boo, Seung-Hwan; Kim, Jin-Gyun; Lee, Phill-Seung
2016
Efficient solution of time-domain boundary integral equations arising in sound-hard scattering. Zbl 1352.76080
Veit, Alexander; Merta, Michal; Zapletal, Jan; Lukáš, Dalibor
2016
Robust compliance topology optimization based on the topological derivative concept. Zbl 1352.74250
Torii, André Jacomel; Novotny, Antonio André; Dos Santos, Renatha Batista
2016
Time-step constraints in transient coupled finite element analysis. Zbl 1352.74340
Cui, W.; Gawecka, K. A.; Taborda, D. M. G.; Potts, D. M.; Zdravković, L.
2016
Trefftz-based dual reciprocity method for hyperbolic boundary value problems. Zbl 1352.76063
2016
Assessment of explicit and semi-explicit classes of model-based algorithms for direct integration in structural dynamics. Zbl 1352.74182
Kolay, Chinmoy; Ricles, James M.
2016
A locally anisotropic fluid-structure interaction remeshing strategy for thin structures with application to a hinged rigid leaflet. Zbl 1352.76018
Auricchio, Ferdinando; Lefieux, Adrien; Reali, Alessandro; Veneziani, Alessandro
2016
Efficient implementation of an explicit partitioned shear and longitudinal wave propagation algorithm. Zbl 1352.74143
Kolman, R.; Cho, S. S.; Park, K. C.
2016
Real-time updating of structural mechanics models using Kalman filtering, modified constitutive relation error, and proper generalized decomposition. Zbl 1352.74013
Marchand, Basile; Chamoin, Ludovic; Rey, Christian
2016
Ellipsoidal load-domain shakedown analysis with von Mises yield criterion: A robust optimization approach. Zbl 1352.74233
Yamaguchi, Takashi; Kanno, Yoshihiro
2016
Implementation of a generalized exponential basis functions method for linear and non-linear problems. Zbl 1360.65289
Mossaiby, F.; Ghaderian, M.; Rossi, R.
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 1352.74046
Jabareen, M.; Mtanes, E.
2016
Sparse grids-based stochastic approximations with applications to aerodynamics sensitivity analysis. Zbl 1352.76093
Resmini, A.; Peter, J.; Lucor, D.
2016
Topology optimization of continuum structures subjected to uncertainties in material properties. Zbl 1352.74235
Da Silva, G. A.; Cardoso, E. L.
2016
An Euler-Lagrange particle approach for modeling fragments accelerated by explosive detonation. Zbl 1352.76037
Price, Matthew A.; Nguyen, Vinh-Tan; Hassan, Oubay; Morgan, Ken
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 1352.74282
Homel, Michael A.; Brannon, Rebecca M.; Guilkey, James
2016
Dual-based adaptive FEM for inelastic problems with standard FE implementations. Zbl 1352.74447
Widany, K.-U.; Mahnken, R.
2016
A simple integration algorithm for a non-associated anisotropic plasticity model for sheet metal forming. Zbl 1352.74059
Wali, M.; Autay, R.; Mars, J.; Dammak, F.
2016
Fully coupled linear modelling of incompressible free-surface flow, compressible air and flexible structures. Zbl 1352.76069
Toth, F.; Kaltenbacher, M.
2016
Substructured formulations of nonlinear structure problems – influence of the interface condition. Zbl 1352.74034
Negrello, Camille; Gosselet, Pierre; Rey, Christian; Pebrel, Julien
2016
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### 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. R. 101 Liew, Kim Meow 93 Wall, Wolfgang A. 87 Farhat, Charbel H. 85 Bordas, Stéphane Pierre Alain 83 Zhang, Chuanzeng 77 Babuška, Ivo 77 Bazilevs, Yuri 76 Tezduyar, Tayfun E. 74 Nguyen-Xuan, Hung 74 Reddy, Junuthula Narasimha 72 Miehe, Christian 71 Huerta, Antonio 70 Idelsohn, Sergio Rodolfo 69 Li, Xiaolin 69 Ortiz, Michael 69 Paulino, Glaucio H. 67 Beirão da Veiga, Lourenço 67 de Borst, René 65 Ibrahimbegović, Adnan 65 Kaveh, Ali 64 Ferri Aliabadi, Mohammad Hossien 64 Oden, John Tinsley 64 Sladek, Jan 64 Sladek, Vladimir 63 Fish, Jacob 63 Zheng, Hong 62 Sigmund, Ole 61 Codina, Ramon 60 Auricchio, Ferdinando 60 Chen, Jiun-Shyan 59 Düster, Alexander 59 Ladevèze, Pierre 59 Song, Chongmin 57 Li, Guangyao 57 Wen, Pihua 57 Wohlmuth, Barbara I. 56 Chen, Yanping 56 Rank, Ernst 55 Chen, Wen 55 Rozza, Gianluigi 54 Givoli, Dan 54 Lesnic, Daniel 54 Zhang, Jianming 52 Gao, Xiaowei 52 Harari, Isaac 52 Power, Henry 52 Quarteroni, Alfio M. 52 Sluys, Lambertus Johannes 51 Chinesta, Francisco 51 Natarajan, Sundararajan 50 Soize, Christian 50 Takizawa, Kenji 50 Zohdi, Tarek I. 49 Carey, Graham Francis 49 Chen, Jeng-Tzong 49 Soares, Delfim jun. 49 Trevelyan, Jon 48 Bui, Tinh Quoc 48 Nguyen-Thoi, Trung 48 Tamma, Kumar K. 47 Calo, Victor Manuel 47 Díez, Pedro 47 Löhner, Rainald 47 Mansur, Webe Joao 46 Gu, Yan 46 Huang, Yunqing 46 Stein, Erwin 46 Zhang, Yongjie Jessica 45 Guo, Xu 45 Hansbo, Peter 45 Hsu, Ming-Chen 45 Larson, Mats G. 45 Lewis, Roland W. 45 Mukherjee, Subrata 44 Geers, Marc G. D. 44 Sukumar, Natarajan 44 Wick, Thomas 44 Zhuang, Xiaoying 43 de Lorenzis, Laura 43 Desmet, Wim 43 Han, Xu 43 Marin, Liviu 43 Nithiarasu, Perumal 43 Owen, David Roger Jones 43 Schrefler, Bernhard A. 43 Wagner, Werner 43 Zienkiewicz, Olgierd Cecil 42 Betsch, Peter 42 Papadrakakis, Manolis 42 Qin, Qinghua 42 Reddy, B. Dayanand ...and 37,750 more Authors
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 6,789 Computer Methods in Applied Mechanics and Engineering 2,688 International Journal for Numerical Methods in Engineering 2,288 Engineering Analysis with Boundary Elements 2,124 Journal of Computational Physics 1,844 Computational Mechanics 1,016 Applied Mathematical Modelling 908 Computers & Mathematics with Applications 868 Journal of Computational and Applied Mathematics 728 Computers and Fluids 728 Applied Mathematics and Computation 715 Communications in Numerical Methods in Engineering 604 Acta Mechanica 580 European Journal of Mechanics. A. Solids 449 Applied Numerical Mathematics 440 Journal of Scientific Computing 433 International Journal of Computational Methods 388 International Journal for Numerical Methods in Fluids 382 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 262 Numerische Mathematik 201 Meccanica 196 Mathematics of Computation 194 Applied Mathematics and Mechanics. (English Edition) 191 Journal of Fluid Mechanics 188 International Journal of Computer Mathematics 185 International Journal of Engineering Science 182 Mathematics and Computers in Simulation 179 Multibody System Dynamics 178 Archive of Applied Mechanics 175 Archives of Computational Methods in Engineering 174 International Journal of Numerical Methods for Heat & Fluid Flow 170 Numerical Methods for Partial Differential Equations 168 Acta Mechanica Sinica 166 Mathematics and Mechanics of Solids 165 Computational Geosciences 149 International Journal of Fracture 140 Inverse Problems in Science and Engineering 137 International Journal for Numerical and Analytical Methods in Geomechanics 132 Advances in Computational Mathematics 130 International Journal for Numerical Methods in Biomedical Engineering 129 International Journal of Computational Fluid Dynamics 126 Wave Motion 118 SIAM Journal on Numerical Analysis 118 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 118 Numerical Algorithms 117 Nonlinear Dynamics 112 Communications in Computational Physics 110 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 109 Mathematical and Computer Modelling 93 Computer Aided Geometric Design 92 Journal of Elasticity 91 Communications in Nonlinear Science and Numerical Simulation 89 Journal of Engineering Mathematics 89 COMPEL 89 Advances in Applied Mathematics and Mechanics 87 Continuum Mechanics and Thermodynamics 86 BIT 85 Computational and Applied Mathematics 81 Computing 77 International Journal of Structural Stability and Dynamics 76 International Journal of Plasticity 74 Journal of Mathematical Analysis and Applications 74 Applied Mathematics Letters 74 International Journal for Computational Methods in Engineering Science and Mechanics 73 Journal of Computational Acoustics 72 International Journal of Heat and Mass Transfer 70 Computer Physics Communications 69 SIAM/ASA Journal on Uncertainty Quantification 67 European Journal of Mechanics. B. Fluids 67 Optimization and Engineering 61 Mathematical Methods in the Applied Sciences 61 Journal of Optimization Theory and Applications 60 Physics of Fluids 59 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 58 Mechanics Research Communications 56 Calcolo 56 Linear Algebra and its Applications 55 ZAMP. Zeitschrift für angewandte Mathematik und Physik 55 Numerical Linear Algebra with Applications 54 Journal of Vibration and Control 52 Advances in Engineering Software 52 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 51 Journal of Applied Mathematics 47 Computational Methods in Applied Mathematics 46 Engineering Optimization 42 Abstract and Applied Analysis 42 International Journal of Applied and Computational Mathematics 42 AMM. Applied Mathematics and Mechanics. (English Edition) 41 Applicable Analysis 41 Ingenieur-Archiv 39 RAIRO. Modélisation Mathématique et Analyse Numérique 39 Comptes Rendus. Mathématique. Académie des Sciences, Paris 36 European Journal of Operational Research 35 Computational Optimization and Applications 35 Multiscale Modeling & Simulation 33 Journal of the Franklin Institute ...and 583 more Journals
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### Cited in 62 Fields

 19,089 Mechanics of deformable solids (74-XX) 16,864 Numerical analysis (65-XX) 8,430 Fluid mechanics (76-XX) 5,203 Partial differential equations (35-XX) 1,327 Classical thermodynamics, heat transfer (80-XX) 1,048 Operations research, mathematical programming (90-XX) 1,007 Biology and other natural sciences (92-XX) 964 Optics, electromagnetic theory (78-XX) 907 Calculus of variations and optimal control; optimization (49-XX) 859 Mechanics of particles and systems (70-XX) 619 Geophysics (86-XX) 611 Computer science (68-XX) 581 Ordinary differential equations (34-XX) 534 Statistical mechanics, structure of matter (82-XX) 460 Approximations and expansions (41-XX) 423 Systems theory; control (93-XX) 402 Statistics (62-XX) 366 Probability theory and stochastic processes (60-XX) 317 Integral equations (45-XX) 237 Dynamical systems and ergodic theory (37-XX) 204 Linear and multilinear algebra; matrix theory (15-XX) 134 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 130 Quantum theory (81-XX) 119 Information and communication theory, circuits (94-XX) 118 Real functions (26-XX) 103 Operator theory (47-XX) 102 Potential theory (31-XX) 98 Combinatorics (05-XX) 87 Harmonic analysis on Euclidean spaces (42-XX) 73 Special functions (33-XX) 70 Integral transforms, operational calculus (44-XX) 65 Differential geometry (53-XX) 53 Functions of a complex variable (30-XX) 47 Functional analysis (46-XX) 45 Convex and discrete geometry (52-XX) 45 Global analysis, analysis on manifolds (58-XX) 39 General and overarching topics; collections (00-XX) 36 History and biography (01-XX) 27 Difference and functional equations (39-XX) 20 Geometry (51-XX) 20 Relativity and gravitational theory (83-XX) 20 Astronomy and astrophysics (85-XX) 13 Number theory (11-XX) 12 Topological groups, Lie groups (22-XX) 10 Measure and integration (28-XX) 10 Manifolds and cell complexes (57-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Mathematics education (97-XX) 7 Algebraic geometry (14-XX) 6 Mathematical logic and foundations (03-XX) 4 General algebraic systems (08-XX) 4 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Sequences, series, summability (40-XX) 3 General topology (54-XX) 2 Associative rings and algebras (16-XX) 2 Abstract harmonic analysis (43-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX)