## Sukumar, Natarajan

Compute Distance To:
 Author ID: sukumar.natarajan Published as: Sukumar, N.; Sukumar, Natarajan External Links: MGP
 Documents Indexed: 62 Publications since 1997 2 Contributions as Editor Co-Authors: 65 Co-Authors with 58 Joint Publications 1,223 Co-Co-Authors
all top 5

### Co-Authors

 4 single-authored 6 Belytschko, Ted Bohdan 6 Moran, Brian 6 Mousavi, S. E. 5 Moës, Nicolas 5 Pask, John Ernest 4 Chin, Eric B. 4 Manzini, Gianmarco 4 Prevost, Jean-Herve 4 Tabarraei, Alireza 3 Chopp, David L. 2 Bai, Zhaojun 2 Benvenuti, Elena 2 Cai, Yunfeng 2 Chiozzi, A. 2 Floater, Michael S. 2 Fuenmayor, Francisco Javier 2 García-Sánchez, Felipe 2 Giner, Eugenio 2 Grinspun, Eitan 2 Hormann, Kai 2 Puso, Michael Anthony 2 Rojas-Díaz, R. 2 Russo, Alessandro 2 Saez, Andres 2 Srivastava, Ankit 2 Srolovitz, David J. 1 Albrecht, Clelia 1 Aquino, Wilkins 1 Arroyo, Marino 1 Baker, Timothy J. 1 Banerjee, Subhajit 1 Béchet, Eric 1 Belikov, Vitali V. 1 Bishop, Joseph E. 1 Brigham, John C. 1 Büche, Dirk 1 Calvo, Begoña 1 Cangiani, Andrea 1 Cegoñino, J. 1 Cueto, Elias 1 Daux, Christophe 1 Denia, Francisco D. 1 Doblaré, Manuel 1 Dolbow, John E. 1 Earls, Christopher J. 1 Gillette, Andrew 1 Hattori, Gabriel 1 Klaar, Constanze 1 Kothiyal, Manuja 1 Kunnath, S. K. 1 Lasserre, Jean-Bernard 1 Malsch, Elisabeth Anna 1 Martínez, Miguel Ángel 1 Millán, Daniel 1 Mokhtari, Amir Ashkan 1 Ortiz-Bernardin, A. 1 Parimi, Chandu 1 Schweitzer, Marc Alexander 1 Semënov, Andreĭ Yur’evich 1 Usui, Shuji 1 Vercher, A. 1 Wets, Roger Jean-Baptiste 1 Wright, R. W. 1 Yaw, L. L. 1 Ziegenhagel, Albert
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### Serials

 23 International Journal for Numerical Methods in Engineering 14 Computer Methods in Applied Mechanics and Engineering 5 Computational Mechanics 3 International Journal of Solids and Structures 3 Computer Aided Geometric Design 2 Journal of Computational Physics 2 Archives of Computational Methods in Engineering 1 International Journal of Engineering Science 1 SIAM Journal on Numerical Analysis 1 Journal of Computational Mathematics 1 Numerical Methods for Partial Differential Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Optimization 1 Computational and Applied Mathematics 1 Journal of Mathematical Chemistry 1 CMES. Computer Modeling in Engineering & Sciences 1 International Journal of Computational Methods
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### Fields

 37 Mechanics of deformable solids (74-XX) 33 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 3 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

57 Publications have been cited 2,447 times in 1,367 Documents Cited by Year
Modeling holes and inclusions by level sets in the extended finite element method. Zbl 1029.74049
Sukumar, N.; Chopp, D. L.; Moës, N.; Belytschko, T.
2001
Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067
Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T.
2000
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
The natural element method in solid mechanics. Zbl 0940.74078
Sukumar, N.; Moran, B.; Belytschko, T.
1998
Conforming polygonal finite elements. Zbl 1073.65563
Sukumar, N.; Tabarraei, A.
2004
Recent advances in the construction of polygonal finite element interpolants. Zbl 1101.65108
Sukumar, N.; Malsch, E. A.
2006
Construction of polygonal interpolants: a maximum entropy approach. Zbl 1073.65505
Sukumar, N.
2004
Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons. Zbl 1221.65078
Mousavi, S. E.; Sukumar, N.
2011
Structured extended finite element methods for solids defined by implicit surfaces. Zbl 1038.74041
Belytschko, Ted; Parimi, Chandu; Moës, Nicolas; Sukumar, N.; Usui, Shuji
2003
Natural neighbor Galerkin methods. Zbl 1082.74554
Sukumar, N.; Moran, B.; Semenov, A. Yu.; Belikov, V. V.
2001
Modeling quasi-static crack growth with the extended finite element method. I: Computer implementation. Zbl 1063.74102
Sukumar, N.; Prévost, J.-H.
2003
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
2014
Generalized Gaussian quadrature rules on arbitrary polygons. Zbl 1183.65026
Mousavi, S. E.; Xiao, H.; Sukumar, N.
2010
Partition of unity enrichment for bimaterial interface cracks. Zbl 1041.74548
Sukumar, N.; Huang, Z. Y.; Prévost, J.-H.; Suo, Z.
2004
Extended finite element method on polygonal and quadtree meshes. Zbl 1169.74634
Tabarraei, A.; Sukumar, N.
2008
Overview and recent advances in natural neighbour Galerkin methods. Zbl 1050.74001
Cueto, E.; Sukumar, N.; Calvo, B.; Martínez, M. A.; Cegoñino, J.; Doblaré, M.
2003
Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method. Zbl 1225.74099
Mousavi, S. E.; Sukumar, N.
2010
Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method. Zbl 1211.74199
Chopp, D. L.; Sukumar, N.
2003
Gradient bounds for Wachspress coordinates on polytopes. Zbl 1292.65006
Floater, Michael; Gillette, Andrew; Sukumar, N.
2014
Overview and construction of meshfree basis functions: from moving least squares to entropy approximants. Zbl 1194.65149
Sukumar, N.; Wright, R. W.
2007
Hourglass stabilization and the virtual element method. Zbl 1352.65475
Cangiani, A.; Manzini, G.; Russo, A.; Sukumar, N.
2015
Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra. Zbl 1336.65020
Chin, Eric B.; Lasserre, Jean B.; Sukumar, N.
2015
Application of polygonal finite elements in linear elasticity. Zbl 1198.74104
Tabarraei, A.; Sukumar, N.
2006
Brittle fracture in polycrystalline microstructures with the extended finite element method. Zbl 1038.74652
Sukumar, N.; Srolovitz, D. J.; Baker, T. J.; Prévost, J.-H.
2003
Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method. Zbl 1195.76390
Sukumar, N.; Chopp, D. L.; Béchet, E.; Moës, N.
2008
Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons. Zbl 1286.65168
Sukumar, N.
2013
Modeling quasi-static crack growth with the extended finite element method. II: Numerical applications. Zbl 1064.74163
Huang, R.; Sukumar, N.; Prévost, J.-H.
2003
Classical and enriched finite element formulations for Bloch-periodic boundary conditions. Zbl 1156.81313
Sukumar, N.; Pask, J. E.
2009
Maximum-entropy meshfree method for compressible and near-incompressible elasticity. Zbl 1231.74491
Ortiz, A.; Puso, M. A.; Sukumar, N.
2010
An element-free Galerkin method for three-dimensional fracture mechanics. Zbl 0888.73066
Sukumar, N.; Moran, B.; Black, T.; Belytschko, T.
1997
$$C^1$$ natural neighbor interpolant for partial differential equations. Zbl 0943.74080
Sukumar, N.; Moran, B.
1999
Extended virtual element method for the Laplace problem with singularities and discontinuities. Zbl 1441.74230
Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N.
2019
Deriving the continuity of maximum-entropy basis functions via variational analysis. Zbl 1157.65042
Sukumar, N.; Wets, R. J.-B.
2007
Dispersive properties of the natural element method. Zbl 0969.74075
Bueche, D.; Sukumar, N.; Moran, B.
2000
Generalized finite element method using proper orthogonal decomposition. Zbl 1171.76416
Aquino, W.; Brigham, J. C.; Earls, C. J.; Sukumar, N.
2009
Voronoi cell finite difference method for the diffusion operator on arbitrary unstructured grids. Zbl 1042.65079
Sukumar, N.
2003
Generalized barycentric coordinates in computer graphics and computational mechanics. Zbl 1377.68003
2018
Derivatives of maximum-entropy basis functions on the boundary: theory and computations. Zbl 1352.65207
Greco, F.; Sukumar, N.
2013
New anisotropic crack-tip enrichment functions for the extended finite element method. Zbl 1312.74029
Hattori, G.; Rojas-Díaz, R.; Sáez, A.; Sukumar, N.; García-Sánchez, F.
2012
Higher-order extended finite elements with harmonic enrichment functions for complex crack problems. Zbl 1216.74027
Mousavi, S. E.; Grinspun, E.; Sukumar, N.
2011
Harmonic enrichment functions: a unified treatment of multiple, intersecting and branched cracks in the extended finite element method. Zbl 1217.74130
Mousavi, S. E.; Grinspun, E.; Sukumar, N.
2011
Adaptive computations using material forces and residual-based error estimators on quadtree meshes. Zbl 1173.74444
Tabarraei, A.; Sukumar, N.
2007
Meshfree co-rotational formulation for two-dimensional continua. Zbl 1171.74469
Yaw, L. L.; Sukumar, N.; Kunnath, S. K.
2009
Cell-based maximum-entropy approximants. Zbl 1425.65172
Millán, Daniel; Sukumar, N.; Arroyo, Marino
2015
Fracture in magnetoelectroelastic materials using the extended finite element method. Zbl 1242.74157
Rojas-Díaz, R.; Sukumar, N.; Sáez, A.; García-Sánchez, F.
2011
Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations. Zbl 1349.81204
Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N.
2013
Extended finite element method for fretting fatigue crack propagation. Zbl 1177.74364
Giner, E.; Sukumar, N.; Denia, F. D.; Fuenmayor, F. J.
2008
Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations. Zbl 1423.74962
Ortiz-Bernardin, A.; Puso, M. A.; Sukumar, N.
2015
Efficient adaptive integration of functions with sharp gradients and cusps in $$n$$-dimensional parallelepipeds. Zbl 1253.65034
Mousavi, S. E.; Pask, J. E.; Sukumar, N.
2012
Numerical computation of discrete differential operators on non-uniform grids. Zbl 1062.65112
Sukumar, N.; Bolander, J. E.
2003
Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries. Zbl 07414318
Chin, Eric B.; Sukumar, N.
2021
Finite element-based model for crack propagation in polycrystalline materials. Zbl 1213.74269
Sukumar, N.; Srolovitz, D. J.
2004
Singularity enrichment for complete sliding contact using the partition of unity finite element method. Zbl 1195.74174
Giner, E.; Sukumar, N.; Fuenmayor, F. J.; Vercher, A.
2008
An efficient method to integrate polynomials over polytopes and curved solids. Zbl 1450.65027
Chin, Eric B.; Sukumar, N.
2020
Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem. Zbl 1439.78016
Banerjee, Subhajit; Sukumar, N.
2017
Orbital-enriched flat-top partition of unity method for the Schrödinger eigenproblem. Zbl 1440.65163
Albrecht, Clelia; Klaar, Constanze; Pask, John Ernest; Schweitzer, Marc Alexander; Sukumar, N.; Ziegenhagel, Albert
2018
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks. Zbl 07464493
Sukumar, N.; Srivastava, Ankit
2022
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks. Zbl 07464493
Sukumar, N.; Srivastava, Ankit
2022
Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries. Zbl 07414318
Chin, Eric B.; Sukumar, N.
2021
An efficient method to integrate polynomials over polytopes and curved solids. Zbl 1450.65027
Chin, Eric B.; Sukumar, N.
2020
Extended virtual element method for the Laplace problem with singularities and discontinuities. Zbl 1441.74230
Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N.
2019
Generalized barycentric coordinates in computer graphics and computational mechanics. Zbl 1377.68003
2018
Orbital-enriched flat-top partition of unity method for the Schrödinger eigenproblem. Zbl 1440.65163
Albrecht, Clelia; Klaar, Constanze; Pask, John Ernest; Schweitzer, Marc Alexander; Sukumar, N.; Ziegenhagel, Albert
2018
Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem. Zbl 1439.78016
Banerjee, Subhajit; Sukumar, N.
2017
Hourglass stabilization and the virtual element method. Zbl 1352.65475
Cangiani, A.; Manzini, G.; Russo, A.; Sukumar, N.
2015
Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra. Zbl 1336.65020
Chin, Eric B.; Lasserre, Jean B.; Sukumar, N.
2015
Cell-based maximum-entropy approximants. Zbl 1425.65172
Millán, Daniel; Sukumar, N.; Arroyo, Marino
2015
Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations. Zbl 1423.74962
Ortiz-Bernardin, A.; Puso, M. A.; Sukumar, N.
2015
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
2014
Gradient bounds for Wachspress coordinates on polytopes. Zbl 1292.65006
Floater, Michael; Gillette, Andrew; Sukumar, N.
2014
Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons. Zbl 1286.65168
Sukumar, N.
2013
Derivatives of maximum-entropy basis functions on the boundary: theory and computations. Zbl 1352.65207
Greco, F.; Sukumar, N.
2013
Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations. Zbl 1349.81204
Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N.
2013
New anisotropic crack-tip enrichment functions for the extended finite element method. Zbl 1312.74029
Hattori, G.; Rojas-Díaz, R.; Sáez, A.; Sukumar, N.; García-Sánchez, F.
2012
Efficient adaptive integration of functions with sharp gradients and cusps in $$n$$-dimensional parallelepipeds. Zbl 1253.65034
Mousavi, S. E.; Pask, J. E.; Sukumar, N.
2012
Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons. Zbl 1221.65078
Mousavi, S. E.; Sukumar, N.
2011
Higher-order extended finite elements with harmonic enrichment functions for complex crack problems. Zbl 1216.74027
Mousavi, S. E.; Grinspun, E.; Sukumar, N.
2011
Harmonic enrichment functions: a unified treatment of multiple, intersecting and branched cracks in the extended finite element method. Zbl 1217.74130
Mousavi, S. E.; Grinspun, E.; Sukumar, N.
2011
Fracture in magnetoelectroelastic materials using the extended finite element method. Zbl 1242.74157
Rojas-Díaz, R.; Sukumar, N.; Sáez, A.; García-Sánchez, F.
2011
Generalized Gaussian quadrature rules on arbitrary polygons. Zbl 1183.65026
Mousavi, S. E.; Xiao, H.; Sukumar, N.
2010
Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method. Zbl 1225.74099
Mousavi, S. E.; Sukumar, N.
2010
Maximum-entropy meshfree method for compressible and near-incompressible elasticity. Zbl 1231.74491
Ortiz, A.; Puso, M. A.; Sukumar, N.
2010
Classical and enriched finite element formulations for Bloch-periodic boundary conditions. Zbl 1156.81313
Sukumar, N.; Pask, J. E.
2009
Generalized finite element method using proper orthogonal decomposition. Zbl 1171.76416
Aquino, W.; Brigham, J. C.; Earls, C. J.; Sukumar, N.
2009
Meshfree co-rotational formulation for two-dimensional continua. Zbl 1171.74469
Yaw, L. L.; Sukumar, N.; Kunnath, S. K.
2009
Extended finite element method on polygonal and quadtree meshes. Zbl 1169.74634
Tabarraei, A.; Sukumar, N.
2008
Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method. Zbl 1195.76390
Sukumar, N.; Chopp, D. L.; Béchet, E.; Moës, N.
2008
Extended finite element method for fretting fatigue crack propagation. Zbl 1177.74364
Giner, E.; Sukumar, N.; Denia, F. D.; Fuenmayor, F. J.
2008
Singularity enrichment for complete sliding contact using the partition of unity finite element method. Zbl 1195.74174
Giner, E.; Sukumar, N.; Fuenmayor, F. J.; Vercher, A.
2008
Overview and construction of meshfree basis functions: from moving least squares to entropy approximants. Zbl 1194.65149
Sukumar, N.; Wright, R. W.
2007
Deriving the continuity of maximum-entropy basis functions via variational analysis. Zbl 1157.65042
Sukumar, N.; Wets, R. J.-B.
2007
Adaptive computations using material forces and residual-based error estimators on quadtree meshes. Zbl 1173.74444
Tabarraei, A.; Sukumar, N.
2007
Recent advances in the construction of polygonal finite element interpolants. Zbl 1101.65108
Sukumar, N.; Malsch, E. A.
2006
Application of polygonal finite elements in linear elasticity. Zbl 1198.74104
Tabarraei, A.; Sukumar, N.
2006
Conforming polygonal finite elements. Zbl 1073.65563
Sukumar, N.; Tabarraei, A.
2004
Construction of polygonal interpolants: a maximum entropy approach. Zbl 1073.65505
Sukumar, N.
2004
Partition of unity enrichment for bimaterial interface cracks. Zbl 1041.74548
Sukumar, N.; Huang, Z. Y.; Prévost, J.-H.; Suo, Z.
2004
Finite element-based model for crack propagation in polycrystalline materials. Zbl 1213.74269
Sukumar, N.; Srolovitz, D. J.
2004
Structured extended finite element methods for solids defined by implicit surfaces. Zbl 1038.74041
Belytschko, Ted; Parimi, Chandu; Moës, Nicolas; Sukumar, N.; Usui, Shuji
2003
Modeling quasi-static crack growth with the extended finite element method. I: Computer implementation. Zbl 1063.74102
Sukumar, N.; Prévost, J.-H.
2003
Overview and recent advances in natural neighbour Galerkin methods. Zbl 1050.74001
Cueto, E.; Sukumar, N.; Calvo, B.; Martínez, M. A.; Cegoñino, J.; Doblaré, M.
2003
Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method. Zbl 1211.74199
Chopp, D. L.; Sukumar, N.
2003
Brittle fracture in polycrystalline microstructures with the extended finite element method. Zbl 1038.74652
Sukumar, N.; Srolovitz, D. J.; Baker, T. J.; Prévost, J.-H.
2003
Modeling quasi-static crack growth with the extended finite element method. II: Numerical applications. Zbl 1064.74163
Huang, R.; Sukumar, N.; Prévost, J.-H.
2003
Voronoi cell finite difference method for the diffusion operator on arbitrary unstructured grids. Zbl 1042.65079
Sukumar, N.
2003
Numerical computation of discrete differential operators on non-uniform grids. Zbl 1062.65112
Sukumar, N.; Bolander, J. E.
2003
Modeling holes and inclusions by level sets in the extended finite element method. Zbl 1029.74049
Sukumar, N.; Chopp, D. L.; Moës, N.; Belytschko, T.
2001
Natural neighbor Galerkin methods. Zbl 1082.74554
Sukumar, N.; Moran, B.; Semenov, A. Yu.; Belikov, V. V.
2001
Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067
Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T.
2000
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
Dispersive properties of the natural element method. Zbl 0969.74075
Bueche, D.; Sukumar, N.; Moran, B.
2000
$$C^1$$ natural neighbor interpolant for partial differential equations. Zbl 0943.74080
Sukumar, N.; Moran, B.
1999
The natural element method in solid mechanics. Zbl 0940.74078
Sukumar, N.; Moran, B.; Belytschko, T.
1998
An element-free Galerkin method for three-dimensional fracture mechanics. Zbl 0888.73066
Sukumar, N.; Moran, B.; Black, T.; Belytschko, T.
1997
all top 5

### Cited by 2,064 Authors

 42 Sukumar, Natarajan 32 Beirão da Veiga, Lourenço 30 Bordas, Stéphane Pierre Alain 29 Natarajan, Sundararajan 28 Manzini, Gianmarco 24 Moës, Nicolas 20 Paulino, Glaucio H. 19 Belytschko, Ted Bohdan 19 Cueto, Elias 17 Rabczuk, Timon 16 Doblaré, Manuel 16 Ooi, Ean Tat 16 Russo, Alessandro 15 Song, Chongmin 14 Liu, Gui-Rong 14 Steinmann, Paul 13 Babuška, Ivo 13 Belinha, Jorge 13 Brezzi, Franco 13 Chinesta, Francisco 12 Antonietti, Paola Francesca 12 Dolbow, John E. 12 Düster, Alexander 12 Gravouil, Anthony 12 Nguyen-Xuan, Hung 12 Wriggers, Peter 11 Lipnikov, Konstantin N. 11 Marini, Luisa Donatella 11 Talischi, Cameron 11 Waisman, Haim 10 Fries, Thomas-Peter 10 Geubelle, Philippe H. 10 Vacca, Giuseppe 10 Wall, Wolfgang A. 9 Fuenmayor, Francisco Javier 9 Natal Jorge, Renato Manuel 9 Wang, Dongdong 8 Artioli, Edoardo 8 Benvenuti, Elena 8 Bui, Tinh Quoc 8 Dinis, Lúcia M. J. S. 8 Khoei, Amir R. 8 Legrain, Gregory 8 Schillinger, Dominik 8 Singh, Indra Vir 8 Vernerey, Franck J. 8 Yvonnet, Julien 8 Zheng, Hong 7 Alfaro, Iciar 7 Arroyo, Marino 7 Baietto, Marie-Christine 7 Banerjee, Uday 7 Calvo, Begoña 7 Cangiani, Andrea 7 Chopp, David L. 7 Georgoulis, Emmanuil H. 7 Houston, Paul 7 Mora, David 7 Rank, Ernst 7 Sohn, Dongwoo 7 Verani, Marco 7 Wang, Yanqiu 7 Weißer, Steffen 7 Wu, Cheng-Tang 6 Adak, Dibyendu 6 Augarde, Charles Edward 6 Cervera, Miguel 6 Chen, Lei 6 Chen, Shenshen 6 Dehghan Takht Fooladi, Mehdi 6 Harari, Isaac 6 Im, Seyoung 6 Liu, Wing Kam 6 Liu, Yinghua 6 Löhnert, Stefan 6 Lovadina, Carlo 6 Mousavi, S. E. 6 Ródenas, Juan José 6 Sluys, Lambertus Johannes 6 Soghrati, Soheil 6 Tang, Xuhai 6 Teran, Joseph M. 6 Tian, Rong 6 Wang, Bingbing 6 Zhuang, Xiaoying 5 Aragón, Alejandro M. 5 Badia, Santiago 5 Bajaj, Chandrajit L. 5 Cai, Yongchang 5 Chatzi, Eleni 5 Chen, Jiun-Shyan 5 Chevaugeon, Nicolas 5 Chi, Heng 5 Dassi, Franco 5 Dong, Zhaonan 5 Duan, Qinglin 5 Gerstenberger, Axel 5 Gillette, Andrew 5 Giner, Eugenio 5 Gyrya, Vitaliy T. ...and 1,964 more Authors
all top 5

### Cited in 108 Serials

 330 Computer Methods in Applied Mechanics and Engineering 232 International Journal for Numerical Methods in Engineering 142 Computational Mechanics 90 Engineering Analysis with Boundary Elements 64 Journal of Computational Physics 35 Computers & Mathematics with Applications 22 Journal of Computational and Applied Mathematics 22 International Journal of Computational Methods 17 Applied Mathematics and Computation 17 Applied Mathematical Modelling 17 Mathematical Problems in Engineering 15 Archives of Computational Methods in Engineering 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 European Journal of Mechanics. A. Solids 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Computer Aided Geometric Design 13 SIAM Journal on Scientific Computing 12 SIAM Journal on Numerical Analysis 11 Applied Numerical Mathematics 11 Acta Mechanica Sinica 10 International Journal for Numerical Methods in Fluids 10 International Journal of Solids and Structures 10 Advances in Computational Mathematics 10 International Journal of Fracture 9 Numerische Mathematik 9 Communications in Numerical Methods in Engineering 8 Acta Mechanica 8 Mathematics of Computation 8 Numerical Methods for Partial Differential Equations 8 Journal of Scientific Computing 6 Computers and Fluids 6 Mathematics and Computers in Simulation 6 Engineering Computations 6 Structural and Multidisciplinary Optimization 5 Journal of the Mechanics and Physics of Solids 5 Calcolo 5 Numerical Algorithms 5 Computational Methods in Applied Mathematics 4 International Journal of Engineering Science 4 Archive of Applied Mechanics 4 Advances in Applied Mathematics and Mechanics 3 Journal of Engineering Mathematics 3 BIT 3 Meccanica 3 Computational Geosciences 3 International Journal for Numerical Methods in Biomedical Engineering 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 Wave Motion 2 Applied Mathematics and Mechanics. (English Edition) 2 COMPEL 2 SIAM Journal on Matrix Analysis and Applications 2 International Journal of Computational Geometry & Applications 2 Mathematics and Mechanics of Solids 2 Journal of Computational Acoustics 2 Inverse Problems in Science and Engineering 2 Algorithms 2 Science China. Technological Sciences 2 Journal of the Korean Society for Industrial and Applied Mathematics 1 Computer Physics Communications 1 Journal of Mathematical Biology 1 Physica A 1 Bulletin of Mathematical Biology 1 Journal of Computational Mathematics 1 ACM Transactions on Graphics 1 Journal of Complexity 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Journal of Non-Newtonian Fluid Mechanics 1 Linear Algebra and its Applications 1 Continuum Mechanics and Thermodynamics 1 Statistical Papers 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Discrete and Continuous Dynamical Systems 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Abstract and Applied Analysis 1 European Journal of Mechanics. B. Fluids 1 Journal of Applied Mathematics 1 Sādhanā 1 Central European Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Science in China. Series F 1 Communications in Applied Mathematics and Computational Science 1 Optimization Letters 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Advances in Mathematical Physics 1 Advances in Pure and Applied Mathematics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics ...and 8 more Serials
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### Cited in 38 Fields

 906 Mechanics of deformable solids (74-XX) 755 Numerical analysis (65-XX) 196 Fluid mechanics (76-XX) 146 Partial differential equations (35-XX) 27 Biology and other natural sciences (92-XX) 21 Optics, electromagnetic theory (78-XX) 21 Statistical mechanics, structure of matter (82-XX) 18 Classical thermodynamics, heat transfer (80-XX) 16 Approximations and expansions (41-XX) 15 Computer science (68-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Operations research, mathematical programming (90-XX) 10 Mechanics of particles and systems (70-XX) 9 Quantum theory (81-XX) 7 Geophysics (86-XX) 4 Combinatorics (05-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Potential theory (31-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)