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Sukumar, Natarajan

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Author ID: sukumar.natarajan Recent zbMATH articles by "Sukumar, Natarajan"
Published as: Sukumar, N.; Sukumar, Natarajan
External Links: MGP
Documents Indexed: 59 Publications since 1997, including 1 Book

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 2,263 times in 1,246 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.
263
2001
Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067
Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T.
217
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
187
2000
The natural element method in solid mechanics. Zbl 0940.74078
Sukumar, N.; Moran, B.; Belytschko, T.
162
1998
Conforming polygonal finite elements. Zbl 1073.65563
Sukumar, N.; Tabarraei, A.
149
2004
Recent advances in the construction of polygonal finite element interpolants. Zbl 1101.65108
Sukumar, N.; Malsch, E. A.
93
2006
Construction of polygonal interpolants: a maximum entropy approach. Zbl 1073.65505
Sukumar, N.
92
2004
Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons. Zbl 1221.65078
Mousavi, S. E.; Sukumar, N.
76
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
75
2003
Natural neighbor Galerkin methods. Zbl 1082.74554
Sukumar, N.; Moran, B.; Semenov, A. Yu.; Belikov, V. V.
64
2001
Modeling quasi-static crack growth with the extended finite element method. I: Computer implementation. Zbl 1063.74102
Sukumar, N.; Prévost, J.-H.
60
2003
Generalized Gaussian quadrature rules on arbitrary polygons. Zbl 1183.65026
Mousavi, S. E.; Xiao, H.; Sukumar, N.
59
2010
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
56
2014
Partition of unity enrichment for bimaterial interface cracks. Zbl 1041.74548
Sukumar, N.; Huang, Z. Y.; Prévost, J.-H.; Suo, Z.
55
2004
Extended finite element method on polygonal and quadtree meshes. Zbl 1169.74634
Tabarraei, A.; Sukumar, N.
48
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.
44
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.
43
2003
Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method. Zbl 1225.74099
Mousavi, S. E.; Sukumar, N.
38
2010
Overview and construction of meshfree basis functions: from moving least squares to entropy approximants. Zbl 1194.65149
Sukumar, N.; Wright, R. W.
36
2007
Gradient bounds for Wachspress coordinates on polytopes. Zbl 1292.65006
Floater, Michael; Gillette, Andrew; Sukumar, N.
33
2014
Hourglass stabilization and the virtual element method. Zbl 1352.65475
Cangiani, A.; Manzini, G.; Russo, A.; Sukumar, N.
31
2015
Application of polygonal finite elements in linear elasticity. Zbl 1198.74104
Tabarraei, A.; Sukumar, N.
30
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.
27
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.
25
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.
25
2008
Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons. Zbl 1286.65168
Sukumar, N.
24
2013
Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra. Zbl 1336.65020
Chin, Eric B.; Lasserre, Jean B.; Sukumar, N.
23
2015
Maximum-entropy meshfree method for compressible and near-incompressible elasticity. Zbl 1231.74491
Ortiz, A.; Puso, M. A.; Sukumar, N.
22
2010
Classical and enriched finite element formulations for Bloch-periodic boundary conditions. Zbl 1156.81313
Sukumar, N.; Pask, J. E.
22
2009
An element-free Galerkin method for three-dimensional fracture mechanics. Zbl 0888.73066
Sukumar, N.; Moran, B.; Black, T.; Belytschko, T.
20
1997
\(C^1\) natural neighbor interpolant for partial differential equations. Zbl 0943.74080
Sukumar, N.; Moran, B.
17
1999
Voronoi cell finite difference method for the diffusion operator on arbitrary unstructured grids. Zbl 1042.65079
Sukumar, N.
12
2003
Deriving the continuity of maximum-entropy basis functions via variational analysis. Zbl 1157.65042
Sukumar, N.; Wets, R. J.-B.
12
2007
Dispersive properties of the natural element method. Zbl 0969.74075
Bueche, D.; Sukumar, N.; Moran, B.
11
2000
Generalized finite element method using proper orthogonal decomposition. Zbl 1171.76416
Aquino, W.; Brigham, J. C.; Earls, C. J.; Sukumar, N.
11
2009
Derivatives of maximum-entropy basis functions on the boundary: theory and computations. Zbl 1352.65207
Greco, F.; Sukumar, N.
10
2013
Higher-order extended finite elements with harmonic enrichment functions for complex crack problems. Zbl 1216.74027
Mousavi, S. E.; Grinspun, E.; Sukumar, N.
9
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.
9
2011
Adaptive computations using material forces and residual-based error estimators on quadtree meshes. Zbl 1173.74444
Tabarraei, A.; Sukumar, N.
9
2007
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.
9
2012
Meshfree co-rotational formulation for two-dimensional continua. Zbl 1171.74469
Yaw, L. L.; Sukumar, N.; Kunnath, S. K.
8
2009
Generalized barycentric coordinates in computer graphics and computational mechanics. Zbl 1377.68003
Hormann, Kai (ed.); Sukumar, N. (ed.)
7
2018
Fracture in magnetoelectroelastic materials using the extended finite element method. Zbl 1242.74157
Rojas-Díaz, R.; Sukumar, N.; Sáez, A.; García-Sánchez, F.
7
2011
Extended finite element method for fretting fatigue crack propagation. Zbl 1177.74364
Giner, E.; Sukumar, N.; Denia, F. D.; Fuenmayor, F. J.
5
2008
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.
4
2013
Cell-based maximum-entropy approximants. Zbl 1425.65172
Millán, Daniel; Sukumar, N.; Arroyo, Marino
4
2015
Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations. Zbl 1423.74962
Ortiz-Bernardin, A.; Puso, M. A.; Sukumar, N.
4
2015
Extended virtual element method for the Laplace problem with singularities and discontinuities. Zbl 1441.74230
Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N.
4
2019
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.
4
2012
Numerical computation of discrete differential operators on non-uniform grids. Zbl 1062.65112
Sukumar, N.; Bolander, J. E.
3
2003
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.
2
2008
Finite element-based model for crack propagation in polycrystalline materials. Zbl 1213.74269
Sukumar, N.; Srolovitz, D. J.
2
2004
Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem. Zbl 1439.78016
Banerjee, Subhajit; Sukumar, N.
1
2017
Extended virtual element method for the Laplace problem with singularities and discontinuities. Zbl 1441.74230
Benvenuti, E.; Chiozzi, A.; Manzini, G.; Sukumar, N.
4
2019
Generalized barycentric coordinates in computer graphics and computational mechanics. Zbl 1377.68003
Hormann, Kai; Sukumar, N.
7
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.
1
2017
Hourglass stabilization and the virtual element method. Zbl 1352.65475
Cangiani, A.; Manzini, G.; Russo, A.; Sukumar, N.
31
2015
Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra. Zbl 1336.65020
Chin, Eric B.; Lasserre, Jean B.; Sukumar, N.
23
2015
Cell-based maximum-entropy approximants. Zbl 1425.65172
Millán, Daniel; Sukumar, N.; Arroyo, Marino
4
2015
Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations. Zbl 1423.74962
Ortiz-Bernardin, A.; Puso, M. A.; Sukumar, N.
4
2015
New perspectives on polygonal and polyhedral finite element methods. Zbl 1291.65322
Manzini, Gianmarco; Russo, Alessandro; Sukumar, N.
56
2014
Gradient bounds for Wachspress coordinates on polytopes. Zbl 1292.65006
Floater, Michael; Gillette, Andrew; Sukumar, N.
33
2014
Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons. Zbl 1286.65168
Sukumar, N.
24
2013
Derivatives of maximum-entropy basis functions on the boundary: theory and computations. Zbl 1352.65207
Greco, F.; Sukumar, N.
10
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.
4
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.
9
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.
4
2012
Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons. Zbl 1221.65078
Mousavi, S. E.; Sukumar, N.
76
2011
Higher-order extended finite elements with harmonic enrichment functions for complex crack problems. Zbl 1216.74027
Mousavi, S. E.; Grinspun, E.; Sukumar, N.
9
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.
9
2011
Fracture in magnetoelectroelastic materials using the extended finite element method. Zbl 1242.74157
Rojas-Díaz, R.; Sukumar, N.; Sáez, A.; García-Sánchez, F.
7
2011
Generalized Gaussian quadrature rules on arbitrary polygons. Zbl 1183.65026
Mousavi, S. E.; Xiao, H.; Sukumar, N.
59
2010
Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method. Zbl 1225.74099
Mousavi, S. E.; Sukumar, N.
38
2010
Maximum-entropy meshfree method for compressible and near-incompressible elasticity. Zbl 1231.74491
Ortiz, A.; Puso, M. A.; Sukumar, N.
22
2010
Classical and enriched finite element formulations for Bloch-periodic boundary conditions. Zbl 1156.81313
Sukumar, N.; Pask, J. E.
22
2009
Generalized finite element method using proper orthogonal decomposition. Zbl 1171.76416
Aquino, W.; Brigham, J. C.; Earls, C. J.; Sukumar, N.
11
2009
Meshfree co-rotational formulation for two-dimensional continua. Zbl 1171.74469
Yaw, L. L.; Sukumar, N.; Kunnath, S. K.
8
2009
Extended finite element method on polygonal and quadtree meshes. Zbl 1169.74634
Tabarraei, A.; Sukumar, N.
48
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.
25
2008
Extended finite element method for fretting fatigue crack propagation. Zbl 1177.74364
Giner, E.; Sukumar, N.; Denia, F. D.; Fuenmayor, F. J.
5
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.
2
2008
Overview and construction of meshfree basis functions: from moving least squares to entropy approximants. Zbl 1194.65149
Sukumar, N.; Wright, R. W.
36
2007
Deriving the continuity of maximum-entropy basis functions via variational analysis. Zbl 1157.65042
Sukumar, N.; Wets, R. J.-B.
12
2007
Adaptive computations using material forces and residual-based error estimators on quadtree meshes. Zbl 1173.74444
Tabarraei, A.; Sukumar, N.
9
2007
Recent advances in the construction of polygonal finite element interpolants. Zbl 1101.65108
Sukumar, N.; Malsch, E. A.
93
2006
Application of polygonal finite elements in linear elasticity. Zbl 1198.74104
Tabarraei, A.; Sukumar, N.
30
2006
Conforming polygonal finite elements. Zbl 1073.65563
Sukumar, N.; Tabarraei, A.
149
2004
Construction of polygonal interpolants: a maximum entropy approach. Zbl 1073.65505
Sukumar, N.
92
2004
Partition of unity enrichment for bimaterial interface cracks. Zbl 1041.74548
Sukumar, N.; Huang, Z. Y.; Prévost, J.-H.; Suo, Z.
55
2004
Finite element-based model for crack propagation in polycrystalline materials. Zbl 1213.74269
Sukumar, N.; Srolovitz, D. J.
2
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
75
2003
Modeling quasi-static crack growth with the extended finite element method. I: Computer implementation. Zbl 1063.74102
Sukumar, N.; Prévost, J.-H.
60
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.
44
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.
43
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.
27
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.
25
2003
Voronoi cell finite difference method for the diffusion operator on arbitrary unstructured grids. Zbl 1042.65079
Sukumar, N.
12
2003
Numerical computation of discrete differential operators on non-uniform grids. Zbl 1062.65112
Sukumar, N.; Bolander, J. E.
3
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.
263
2001
Natural neighbor Galerkin methods. Zbl 1082.74554
Sukumar, N.; Moran, B.; Semenov, A. Yu.; Belikov, V. V.
64
2001
Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067
Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T.
217
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
187
2000
Dispersive properties of the natural element method. Zbl 0969.74075
Bueche, D.; Sukumar, N.; Moran, B.
11
2000
\(C^1\) natural neighbor interpolant for partial differential equations. Zbl 0943.74080
Sukumar, N.; Moran, B.
17
1999
The natural element method in solid mechanics. Zbl 0940.74078
Sukumar, N.; Moran, B.; Belytschko, T.
162
1998
An element-free Galerkin method for three-dimensional fracture mechanics. Zbl 0888.73066
Sukumar, N.; Moran, B.; Black, T.; Belytschko, T.
20
1997
all top 5

Cited by 1,878 Authors

39 Sukumar, Natarajan
30 Beirão da Veiga, Lourenço
30 Bordas, Stéphane Pierre Alain
26 Natarajan, Sundararajan
23 Moës, Nicolas
20 Paulino, Glaucio H.
19 Belytschko, Ted Bohdan
19 Cueto, Elias
18 Manzini, Gianmarco
17 Rabczuk, Timon
16 Doblaré, Manuel
16 Russo, Alessandro
15 Ooi, Ean Tat
15 Song, Chongmin
14 Steinmann, Paul
13 Babuška, Ivo
13 Brezzi, Franco
13 Chinesta, Francisco
13 Liu, Gui-Rong
12 Dolbow, John E.
12 Gravouil, Anthony
12 Wriggers, Peter
11 Belinha, Jorge
11 Marini, Luisa Donatella
11 Nguyen-Xuan, Hung
11 Talischi, Cameron
10 Antonietti, Paola Francesca
10 Düster, Alexander
10 Fries, Thomas-Peter
10 Geubelle, Philippe H.
10 Lipnikov, Konstantin N.
10 Waisman, Haim
10 Wall, Wolfgang A.
9 Fuenmayor, Francisco Javier
9 Natal Jorge, Renato Manuel
8 Dinis, Lúcia M. J. S.
8 Khoei, Amir R.
8 Schillinger, Dominik
8 Singh, Indra Vir
8 Vacca, Giuseppe
8 Vernerey, Franck J.
8 Wang, Dongdong
8 Zheng, Hong
7 Alfaro, Iciar
7 Arroyo, Marino
7 Artioli, Edoardo
7 Baietto, Marie-Christine
7 Banerjee, Uday
7 Calvo, Begoña
7 Chopp, David L.
7 Houston, Paul
7 Legrain, Gregory
7 Mora, David
7 Rank, Ernst
7 Sohn, Dongwoo
7 Weißer, Steffen
7 Wu, Cheng-Tang
7 Yvonnet, Julien
6 Augarde, Charles Edward
6 Benvenuti, Elena
6 Cangiani, Andrea
6 Cervera, Miguel
6 Chen, Lei
6 Chen, Shenshen
6 Georgoulis, Emmanuil H.
6 Harari, Isaac
6 Im, Seyoung
6 Liu, Wing Kam
6 Liu, Yinghua
6 Lovadina, Carlo
6 Mousavi, S. E.
6 Ródenas, Juan José
6 Sluys, Lambertus Johannes
6 Tang, Xuhai
6 Teran, Joseph M.
6 Tian, Rong
6 Ventura, Giulio
6 Wang, Bingbing
6 Wang, Yanqiu
6 Zhuang, Xiaoying
5 Bajaj, Chandrajit L.
5 Bui, Tinh Quoc
5 Cai, Yongchang
5 Chen, Jiun-Shyan
5 Chevaugeon, Nicolas
5 Chi, Heng
5 Dehghan Takht Fooladi, Mehdi
5 Duan, Qinglin
5 Gerstenberger, Axel
5 Gillette, Andrew
5 Giner, Eugenio
5 Gyrya, Vitaliy T.
5 Kästner, Markus
5 Kerfriden, Pierre
5 Kuhl, Ellen
5 Kwak, Do Young
5 Lee, Chi King
5 Lew, Adrian J.
5 Menezes, Ivan F. M.
5 Mergheim, Julia
...and 1,778 more Authors
all top 5

Cited in 99 Serials

288 Computer Methods in Applied Mechanics and Engineering
232 International Journal for Numerical Methods in Engineering
133 Computational Mechanics
80 Engineering Analysis with Boundary Elements
60 Journal of Computational Physics
27 Computers & Mathematics with Applications
21 Journal of Computational and Applied Mathematics
17 Mathematical Problems in Engineering
17 International Journal of Computational Methods
16 Applied Mathematics and Computation
16 Applied Mathematical Modelling
15 Archives of Computational Methods in Engineering
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 SIAM Journal on Scientific Computing
12 European Journal of Mechanics. A. Solids
11 Computer Aided Geometric Design
10 International Journal for Numerical Methods in Fluids
10 International Journal of Solids and Structures
10 SIAM Journal on Numerical Analysis
10 International Journal of Fracture
10 Acta Mechanica Sinica
9 Numerische Mathematik
9 Applied Numerical Mathematics
9 Communications in Numerical Methods in Engineering
8 Numerical Methods for Partial Differential Equations
8 Advances in Computational Mathematics
7 Mathematics of Computation
7 Journal of Scientific Computing
6 Engineering Computations
6 Structural and Multidisciplinary Optimization
5 Acta Mechanica
5 Computers and Fluids
4 International Journal of Engineering Science
4 Journal of the Mechanics and Physics of Solids
4 Calcolo
4 Mathematics and Computers in Simulation
4 Numerical Algorithms
4 Archive of Applied Mechanics
4 Computational Methods in Applied Mathematics
4 Advances in Applied Mathematics and Mechanics
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 Engineering Mathematics
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 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 ACM Transactions on Graphics
1 Journal of Complexity
1 SIAM Journal on Matrix Analysis and Applications
1 International Journal of Computational Geometry & Applications
1 Applications of Mathematics
1 European Journal of Operational Research
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 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 Science in China. Series F
1 Communications in Applied Mathematics and Computational Science
1 Optimization Letters
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
1 Afrika Matematika
1 ISRN Applied Mathematics
1 Communications in Mathematics and Statistics
1 SIAM Journal on Applied Algebra and Geometry
1 SMAI Journal of Computational Mathematics
all top 5

Cited in 39 Fields

835 Mechanics of deformable solids (74-XX)
683 Numerical analysis (65-XX)
159 Fluid mechanics (76-XX)
130 Partial differential equations (35-XX)
21 Optics, electromagnetic theory (78-XX)
21 Biology and other natural sciences (92-XX)
18 Approximations and expansions (41-XX)
17 Classical thermodynamics, heat transfer (80-XX)
14 Statistical mechanics, structure of matter (82-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 Mechanics of particles and systems (70-XX)
10 Operations research, mathematical programming (90-XX)
8 Computer science (68-XX)
7 Quantum theory (81-XX)
7 Geophysics (86-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Combinatorics (05-XX)
3 Potential theory (31-XX)
3 Statistics (62-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 Linear and multilinear algebra; matrix theory (15-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)
1 Mathematics education (97-XX)

Citations by Year