| Year |
Citation |
Score |
| 2020 |
Chin EB, Sukumar N. An efficient method to integrate polynomials over polytopes and curved solids Computer Aided Geometric Design. 82: 101914. DOI: 10.1016/J.Cagd.2020.101914 |
0.384 |
|
| 2020 |
Bishop JE, Sukumar N. Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation Computer Aided Geometric Design. 77: 101812. DOI: 10.1016/J.Cagd.2019.101812 |
0.493 |
|
| 2020 |
Silva-Valenzuela R, Ortiz-Bernardin A, Sukumar N, Artioli E, Hitschfeld-Kahler N. A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition International Journal For Numerical Methods in Engineering. 121: 2174-2205. DOI: 10.1002/Nme.6304 |
0.465 |
|
| 2019 |
Benvenuti E, Chiozzi A, Manzini G, Sukumar N. Extended virtual element method for the Laplace problem with singularities and discontinuities Computer Methods in Applied Mechanics and Engineering. 356: 571-597. DOI: 10.1016/J.Cma.2019.07.028 |
0.554 |
|
| 2019 |
Chin EB, Sukumar N. Modeling curved interfaces without element‐partitioning in the extended finite element method International Journal For Numerical Methods in Engineering. 120: 607-649. DOI: 10.1002/Nme.6150 |
0.477 |
|
| 2019 |
Liu C, Prévost JH, Sukumar N. Modeling branched and intersecting faults in reservoir-geomechanics models with the extended finite element method International Journal For Numerical and Analytical Methods in Geomechanics. 43: 2075-2089. DOI: 10.1002/Nag.2949 |
0.383 |
|
| 2018 |
Albrecht C, Klaar C, Pask JE, Schweitzer MA, Sukumar N, Ziegenhagel A. Orbital-enriched flat-top partition of unity method for the Schrödinger eigenproblem Computer Methods in Applied Mechanics and Engineering. 342: 224-239. DOI: 10.1016/J.Cma.2018.07.042 |
0.446 |
|
| 2018 |
Chin EB, Bishop JE, Garimella RV, Sukumar N. Finite deformation cohesive polygonal finite elements for modeling pervasive fracture International Journal of Fracture. 214: 139-165. DOI: 10.1007/S10704-018-0325-4 |
0.467 |
|
| 2017 |
Pask JE, Sukumar N. Partition of unity finite element method for quantum mechanical materials calculations Extreme Mechanics Letters. 11: 8-17. DOI: 10.1016/J.Eml.2016.11.003 |
0.442 |
|
| 2017 |
Banerjee S, Sukumar N. Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem Computer Methods in Applied Mechanics and Engineering. 317: 619-648. DOI: 10.1016/J.Cma.2017.01.001 |
0.515 |
|
| 2017 |
Ortiz-Bernardin A, Russo A, Sukumar N. Consistent and stable meshfree Galerkin methods using the virtual element decomposition International Journal For Numerical Methods in Engineering. 112: 655-684. DOI: 10.1002/Nme.5519 |
0.525 |
|
| 2017 |
Chin EB, Lasserre J, Sukumar N. Modeling crack discontinuities without element-partitioning in the extended finite element method International Journal For Numerical Methods in Engineering. 110: 1021-1048. DOI: 10.1002/Nme.5436 |
0.53 |
|
| 2015 |
Ortiz-Bernardin A, Puso MA, Sukumar N. Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations Computer Methods in Applied Mechanics and Engineering. 293: 348-374. DOI: 10.1016/J.Cma.2015.05.009 |
0.446 |
|
| 2015 |
Millán D, Sukumar N, Arroyo M. Cell-based maximum-entropy approximants Computer Methods in Applied Mechanics and Engineering. 284: 712-731. DOI: 10.1016/J.Cma.2014.10.012 |
0.408 |
|
| 2015 |
Sukumar N, Dolbow JE, Moës N. Extended finite element method in computational fracture mechanics: a retrospective examination International Journal of Fracture. 196: 189-206. DOI: 10.1007/S10704-015-0064-8 |
0.453 |
|
| 2015 |
Chin EB, Lasserre JB, Sukumar N. Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra Computational Mechanics. 56: 967-981. DOI: 10.1007/S00466-015-1213-7 |
0.404 |
|
| 2015 |
Cangiani A, Manzini G, Russo A, Sukumar N. Hourglass stabilization and the virtual element method International Journal For Numerical Methods in Engineering. DOI: 10.1002/Nme.4854 |
0.344 |
|
| 2014 |
Manzini G, Russo A, Sukumar N, Brezzi F. New perspectives on polygonal and polyhedral finite element methods Mathematical Models and Methods in Applied Sciences. 24: 1665-1699. DOI: 10.1142/S0218202514400065 |
0.526 |
|
| 2014 |
Floater M, Gillette A, Sukumar N. Gradient bounds for Wachspress coordinates on polytopes Siam Journal On Numerical Analysis. 52: 515-532. DOI: 10.1137/130925712 |
0.422 |
|
| 2013 |
Cai Y, Bai Z, Pask JE, Sukumar N. Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations Journal of Computational Physics. 255: 16-30. DOI: 10.1016/J.Jcp.2013.07.020 |
0.39 |
|
| 2013 |
Sukumar N. Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons Computer Methods in Applied Mechanics and Engineering. 263: 27-41. DOI: 10.1016/J.Cma.2013.04.009 |
0.407 |
|
| 2013 |
Greco F, Sukumar N. Derivatives of maximum-entropy basis functions on the boundary: Theory and computations International Journal For Numerical Methods in Engineering. 94: 1123-1149. DOI: 10.1002/Nme.4492 |
0.377 |
|
| 2012 |
Pask JE, Sukumar N, Mousavi SE. Linear scaling solution of the all-electron Coulomb problem in solids International Journal For Multiscale Computational Engineering. 10: 83-99. DOI: 10.1615/Intjmultcompeng.2011002201 |
0.351 |
|
| 2012 |
Quaranta G, Kunnath SK, Sukumar N. Maximum-entropy meshfree method for nonlinear static analysis of planar reinforced concrete structures Engineering Structures. 42: 179-189. DOI: 10.1016/J.Engstruct.2012.04.020 |
0.398 |
|
| 2012 |
Hattori G, Rojas-Díaz R, Sáez A, Sukumar N, García-Sánchez F. New anisotropic crack-tip enrichment functions for the extended finite element method Computational Mechanics. 50: 591-601. DOI: 10.1007/S00466-012-0691-0 |
0.484 |
|
| 2012 |
Mousavi SE, Pask JE, Sukumar N. Efficient adaptive integration of functions with sharp gradients and cusps in n-dimensional parallelepipeds International Journal For Numerical Methods in Engineering. 91: 343-357. DOI: 10.1002/Nme.4267 |
0.494 |
|
| 2011 |
Ortiz A, Puso MA, Sukumar N. Maximum-entropy meshfree method for incompressible media problems Finite Elements in Analysis and Design. 47: 572-585. DOI: 10.1016/J.Finel.2010.12.009 |
0.448 |
|
| 2011 |
Mousavi SE, Sukumar N. Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons Computational Mechanics. 47: 535-554. DOI: 10.1007/S00466-010-0562-5 |
0.423 |
|
| 2011 |
Rojas-Díaz R, Sukumar N, Sáez A, García-Sánchez F. Fracture in magnetoelectroelastic materials using the extended finite element method International Journal For Numerical Methods in Engineering. 88: 1238-1259. DOI: 10.1002/Nme.3219 |
0.548 |
|
| 2011 |
Mousavi SE, Grinspun E, Sukumar N. Higher-order extended finite elements with harmonic enrichment functions for complex crack problems International Journal For Numerical Methods in Engineering. 86: 560-574. DOI: 10.1002/Nme.3098 |
0.494 |
|
| 2011 |
Mousavi SE, Grinspun E, Sukumar N. Harmonic enrichment functions: A unified treatment of multiple, intersecting and branched cracks in the extended finite element method International Journal For Numerical Methods in Engineering. 85: 1306-1322. DOI: 10.1002/Nme.3020 |
0.529 |
|
| 2010 |
Shi J, Chopp D, Lua J, Sukumar N, Belytschko T. Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions Engineering Fracture Mechanics. 77: 2840-2863. DOI: 10.1016/J.Engfracmech.2010.06.009 |
0.474 |
|
| 2010 |
Mousavi SE, Sukumar N. Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method Computer Methods in Applied Mechanics and Engineering. 199: 3237-3249. DOI: 10.1016/J.Cma.2010.06.031 |
0.559 |
|
| 2010 |
Ortiz A, Puso MA, Sukumar N. Maximum-entropy meshfree method for compressible and near-incompressible elasticity Computer Methods in Applied Mechanics and Engineering. 199: 1859-1871. DOI: 10.1016/J.Cma.2010.02.013 |
0.423 |
|
| 2010 |
Mousavi SE, Sukumar N. Generalized Duffy transformation for integrating vertex singularities Computational Mechanics. 45: 127-140. DOI: 10.1007/S00466-009-0424-1 |
0.314 |
|
| 2010 |
Mousavi SE, Xiao H, Sukumar N. Generalized Gaussian quadrature rules on arbitrary polygons International Journal For Numerical Methods in Engineering. 82: 99-113. DOI: 10.1002/Nme.2759 |
0.399 |
|
| 2009 |
Yaw LL, Kunnath SK, Sukumar N. Meshfree method for inelastic frame analysis Journal of Structural Engineering. 135: 676-684. DOI: 10.1061/(Asce)0733-9445(2009)135:6(676) |
0.505 |
|
| 2009 |
Hirschberger CB, Ricker S, Steinmann P, Sukumar N. Computational multiscale modelling of heterogeneous material layers Engineering Fracture Mechanics. 76: 793-812. DOI: 10.1016/J.Engfracmech.2008.10.018 |
0.372 |
|
| 2009 |
Giner E, Sukumar N, Tarancón JE, Fuenmayor FJ. An Abaqus implementation of the extended finite element method Engineering Fracture Mechanics. 76: 347-368. DOI: 10.1016/J.Engfracmech.2008.10.015 |
0.483 |
|
| 2009 |
Yaw LL, Sukumar N, Kunnath SK. Meshfree co-rotational formulation for two-dimensional continua International Journal For Numerical Methods in Engineering. 79: 979-1003. DOI: 10.1002/Nme.2606 |
0.413 |
|
| 2009 |
Aquino W, Brigham JC, Earls CJ, Sukumar N. Generalized finite element method using proper orthogonal decomposition International Journal For Numerical Methods in Engineering. 79: 887-906. DOI: 10.1002/Nme.2604 |
0.507 |
|
| 2009 |
Sukumar N, Pask JE. Classical and enriched finite element formulations for Bloch-periodic boundary conditions International Journal For Numerical Methods in Engineering. 77: 1121-1138. DOI: 10.1002/Nme.2457 |
0.405 |
|
| 2008 |
Hirschberger CB, Sukumar N, Steinmann P. Computational homogenization of material layers with micromorphic mesostructure Philosophical Magazine. 88: 3603-3631. DOI: 10.1080/14786430802502567 |
0.374 |
|
| 2008 |
Giner E, Sukumar N, Denia FD, Fuenmayor FJ. Extended finite element method for fretting fatigue crack propagation International Journal of Solids and Structures. 45: 5675-5687. DOI: 10.1016/J.Ijsolstr.2008.06.009 |
0.484 |
|
| 2008 |
Tabarraei A, Sukumar N. Extended finite element method on polygonal and quadtree meshes Computer Methods in Applied Mechanics and Engineering. 197: 425-438. DOI: 10.1016/J.Cma.2007.08.013 |
0.56 |
|
| 2008 |
Giner E, Sukumar N, Fuenmayor FJ, Vercher A. Singularity enrichment for complete sliding contact using the partition of unity finite element method International Journal For Numerical Methods in Engineering. 76: 1402-1418. DOI: 10.1002/Nme.2359 |
0.542 |
|
| 2008 |
Sukumar N, Chopp DL, Béchet E, Moës N. Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method International Journal For Numerical Methods in Engineering. 76: 727-748. DOI: 10.1002/nme.2344 |
0.371 |
|
| 2007 |
Tabarraei A, Sukumar N. Adaptive computations using material forces and residual-based error estimators on quadtree meshes Computer Methods in Applied Mechanics and Engineering. 196: 2657-2680. DOI: 10.1016/J.Cma.2007.01.016 |
0.393 |
|
| 2007 |
Sukumar N, Wright RW. Overview and construction of meshfree basis functions: From moving least squares to entropy approximants International Journal For Numerical Methods in Engineering. 70: 181-205. DOI: 10.1002/Nme.1885 |
0.384 |
|
| 2006 |
Tabarraei A, Sukumar N. Application of polygonal finite elements in linear elasticity International Journal of Computational Methods. 3: 503-520. DOI: 10.1142/S021987620600117X |
0.534 |
|
| 2006 |
Sukumar N, Malsch EA. Recent advances in the construction of polygonal finite element interpolants Archives of Computational Methods in Engineering. 13: 129-163. DOI: 10.1007/Bf02905933 |
0.516 |
|
| 2005 |
Sukumar N, Dolbow J, Devan A, Yvonnet J, Chinesta F, Ryckelynck D, Lorong P, Alfaro I, Martínez M, Cueto E, Doblaré M. Meshless Methods and Partition of Unity Finite Elements International Journal of Forming Processes. 8: 409-427. DOI: 10.3166/Ijfp.8.409-427 |
0.426 |
|
| 2005 |
Bolander JE, Sukumar N. Irregular lattice model for quasistatic crack propagation Physical Review B - Condensed Matter and Materials Physics. 71. DOI: 10.1103/Physrevb.71.094106 |
0.41 |
|
| 2005 |
Tabarraei A, Sukumar N. Adaptive computations on conforming quadtree meshes Finite Elements in Analysis and Design. 41: 686-702. DOI: 10.1016/J.Finel.2004.08.002 |
0.487 |
|
| 2005 |
Huang Z, Suo Z, Xu G, He J, Prévost JH, Sukumar N. Initiation and arrest of an interfacial crack in a four-point bend test Engineering Fracture Mechanics. 72: 2584-2601. DOI: 10.1016/J.Engfracmech.2005.04.002 |
0.349 |
|
| 2004 |
Sukumar N, Srolovitz DJ. Finite element-based model for crack propagation in polycrystalline materials Computational and Applied Mathematics. 23: 363-380. DOI: 10.1590/S0101-82052004000200014 |
0.514 |
|
| 2004 |
Sukumar N, Huang ZY, Prévost JH, Suo Z. Partition of unity enrichment for bimaterial interface cracks International Journal For Numerical Methods in Engineering. 59: 1075-1102. DOI: 10.1002/Nme.902 |
0.486 |
|
| 2004 |
Sukumar N. Construction of polygonal interpolants: A maximum entropy approach International Journal For Numerical Methods in Engineering. 61: 2159-2181. DOI: 10.1002/Nme.1193 |
0.351 |
|
| 2004 |
Sukumar N, Tabarraei A. Conforming polygonal finite elements International Journal For Numerical Methods in Engineering. 61: 2045-2066. DOI: 10.1002/Nme.1141 |
0.524 |
|
| 2003 |
Sukumar N, Bolander JE. Numerical computation of discrete differential operators on non-uniform grids Cmes - Computer Modeling in Engineering and Sciences. 4: 691-705. DOI: 10.3970/Cmes.2003.004.691 |
0.416 |
|
| 2003 |
Chopp DL, Sukumar N. Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method International Journal of Engineering Science. 41: 845-869. DOI: 10.1016/S0020-7225(02)00322-1 |
0.45 |
|
| 2003 |
Sukumar N, Chopp DL, Moran B. Extended finite element method and fast marching method for three-dimensional fatigue crack propagation Engineering Fracture Mechanics. 70: 29-48. DOI: 10.1016/S0013-7944(02)00032-2 |
0.486 |
|
| 2003 |
Sukumar N, Prévost JH. Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation International Journal of Solids and Structures. 40: 7513-7537. DOI: 10.1016/J.Ijsolstr.2003.08.002 |
0.545 |
|
| 2003 |
Huang R, Sukumar N, Prévost JH. Modeling quasi-static crack growth with the extended finite element method Part II: Numerical applications International Journal of Solids and Structures. 40: 7539-7552. DOI: 10.1016/J.Ijsolstr.2003.08.001 |
0.508 |
|
| 2003 |
Cueto E, Sukumar N, Calvo B, Martínez MA, Cegoñino J, Doblaré M. Overview and Recent Advances in Natural Neighbour Galerkin Methods Archives of Computational Methods in Engineering. 10. DOI: 10.1007/Bf02736253 |
0.426 |
|
| 2003 |
Belytschko T, Parimi C, Moës N, Sukumar N, Usui S. Structured extended finite element methods for solids defined by implicit surfaces International Journal For Numerical Methods in Engineering. 56: 609-635. DOI: 10.1002/Nme.686 |
0.53 |
|
| 2003 |
Sukumar N. Voronoi cell finite difference method for the diffusion operator on arbitrary unstructured grids International Journal For Numerical Methods in Engineering. 57: 1-34. DOI: 10.1002/Nme.664 |
0.451 |
|
| 2003 |
Sukumar N, Srolovitz DJ, Baker TJ, Prévost JH. Brittle fracture in polycrystalline microstructures with the extended finite element method International Journal For Numerical Methods in Engineering. 56: 2015-2037. DOI: 10.1002/Nme.653 |
0.487 |
|
| 2001 |
Sukumar N, Chopp DL, Moës N, Belytschko T. Modeling holes and inclusions by level sets in the extended finite-element method Computer Methods in Applied Mechanics and Engineering. 190: 6183-6200. DOI: 10.1016/S0045-7825(01)00215-8 |
0.505 |
|
| 2001 |
Sukumar N, Moran B, Semenov AY, Belikov VV. Natural neighbour Galerkin methods International Journal For Numerical Methods in Engineering. 50: 1-27. DOI: 10.1002/1097-0207(20010110)50:1<1::Aid-Nme14>3.0.Co;2-P |
0.475 |
|
| 2000 |
Bueche D, Sukumar N, Moran B. Dispersive properties of the natural element method Computational Mechanics. 25: 207-219. DOI: 10.1007/S004660050470 |
0.482 |
|
| 2000 |
Sukumar N, Moran B, Semenov AY, Belikov VV. Natural neighbour Galerkin methods International Journal For Numerical Methods in Engineering. 50: 1-27. DOI: 10.1002/1097-0207(20010110)50:1<1::AID-NME14>3.0.CO;2-P |
0.393 |
|
| 2000 |
Daux C, Mo�s N, Dolbow J, Sukumar N, Belytschko T. Arbitrary branched and intersecting cracks with the extended finite element method International Journal For Numerical Methods in Engineering. 48: 1741-1760. DOI: 10.1002/1097-0207(20000830)48:12<1741::Aid-Nme956>3.0.Co;2-L |
0.481 |
|
| 2000 |
Sukumar N, Mo�s N, Moran B, Belytschko T. Extended finite element method for three-dimensional crack modelling International Journal For Numerical Methods in Engineering. 48: 1549-1570. DOI: 10.1002/1097-0207(20000820)48:11<1549::Aid-Nme955>3.0.Co;2-A |
0.513 |
|
| 2000 |
Sukumar N, Moës N, Moran B, Belytschko T. Extended finite element method for three-dimensional crack modelling International Journal For Numerical Methods in Engineering. 48: 1549-1570. DOI: 10.1002/1097-0207(20000820)48:11<1549::AID-NME955>3.0.CO;2-A |
0.427 |
|
| 2000 |
Moës N, Sukumar N, Moran B, Belytschko T. An extended finite element method (X-FEM) for two- and three-dimensional crack modeling European Congress On Computational Methods in Applied Sciences and Engineering, Eccomas 2000. |
0.392 |
|
| 2000 |
Daux C, Moës N, Dolbow J, Sukumar N, Belytschko T. Arbitrary branched and intersecting cracks with the extended finite element method International Journal For Numerical Methods in Engineering. 48: 1741-1760. |
0.417 |
|
| 2000 |
Bueche D, Sukumar N, Moran B. Dispersive properties of the natural element method Computational Mechanics. 25: 207-219. |
0.386 |
|
| 1999 |
Sukumar N, Moran B. C1 natural neighbor interpolant for partial differential equations Numerical Methods For Partial Differential Equations. 15: 417-447. |
0.32 |
|
| 1998 |
Sukumar N, Moran B, Belytschko T. The natural element method in solid mechanics International Journal For Numerical Methods in Engineering. 43: 839-887. DOI: 10.1002/(Sici)1097-0207(19981115)43:5<839::Aid-Nme423>3.0.Co;2-R |
0.507 |
|
| 1998 |
Sukumar N, Moran B, Belytschko T. The natural element method in solid mechanics International Journal For Numerical Methods in Engineering. 43: 839-887. |
0.434 |
|
| 1997 |
Sukumar N, Moran B, Black T, Belytschko T. An element-free Galerkin method for three-dimensional fracture mechanics Computational Mechanics. 20: 170-175. DOI: 10.1007/S004660050235 |
0.53 |
|
| 1997 |
Sukumar N, Moran B, Black T, Belytschko T. An element-free Galerkin method for three-dimensional fracture mechanics Computational Mechanics. 20: 170-175. |
0.448 |
|
| 1993 |
Sukumar N, Kumosa M. Finite element analysis of axial splits in composite Iosipescu specimens International Journal of Fracture. 62: 55-85. DOI: 10.1007/Bf00032525 |
0.429 |
|
| 1992 |
Sukumar N, Kumosa M. Application of the Finite Element Iterative Method to cracks and sharp notches in orthotropic media International Journal of Fracture. 58: 177-192. DOI: 10.1007/Bf00019975 |
0.439 |
|
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