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2020 – today
- 2024
[j10]Ondrej Certík, John E. Pask, Isuru Fernando, Rohit Goswami
, N. Sukumar, Lee A. Collins, Gianmarco Manzini, Jirí Vackár:
High-order finite element method for atomic structure calculations. Comput. Phys. Commun. 297: 109051 (2024)- [i16]Alvin Chen, Joseph E. Bishop, N. Sukumar:
Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity. CoRR abs/2401.06280 (2024) - [i15]Jan Jaskowiec, N. Sukumar:
Penalty-free discontinuous Galerkin method. CoRR abs/2403.00125 (2024) - [i14]N. Sukumar, Amit Acharya:
Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants. CoRR abs/2412.01232 (2024) - 2023
- [j9]Alvin Chen, N. Sukumar:
Stabilization-free virtual element method for plane elasticity. Comput. Math. Appl. 138: 88-105 (2023) - [i13]Pedro Areias, N. Sukumar, J. Ambrósio:
Continuous gap contact formulation based on the screened Poisson equation. CoRR abs/2302.13158 (2023) - [i12]Alessandro Russo, N. Sukumar:
Quantitative study of the stabilization parameter in the virtual element method. CoRR abs/2304.00063 (2023) - [i11]Alvin Chen, N. Sukumar:
Stress-hybrid virtual element method on quadrilateral meshes for compressible and nearly-incompressible linear elasticity. CoRR abs/2304.04941 (2023) - [i10]Luca Dieci, Fabio V. Difonzo, N. Sukumar:
Nonnegative moment coordinates on finite element geometries. CoRR abs/2309.02441 (2023) - 2022
- [i9]Alvin Chen, N. Sukumar:
Stabilization-free virtual element method for plane elasticity. CoRR abs/2202.10037 (2022) - [i8]N. Sukumar, John E. Bolander:
Virtual element method for modeling the deformation of multiphase composites. CoRR abs/2204.13191 (2022) - [i7]Alvin Chen, N. Sukumar:
Stabilization-free serendipity virtual element method for plane elasticity. CoRR abs/2210.02653 (2022) - [i6]Stefano Berrone, Claudio Canuto, Moreno Pintore, N. Sukumar:
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. CoRR abs/2210.14795 (2022) - 2021
- [j8]Eric B. Chin, Amir Ashkan Mokhtari, Ankit Srivastava, N. Sukumar:
Spectral extended finite element method for band structure calculations in phononic crystals. J. Comput. Phys. 427: 110066 (2021) - [i5]N. Sukumar, Ankit Srivastava:
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks. CoRR abs/2104.08426 (2021) - [i4]N. Sukumar, Michael R. Tupek:
Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations. CoRR abs/2110.00514 (2021) - [i3]Elena Benvenuti, Andrea Chiozzi, Gianmarco Manzini, N. Sukumar:
Extended virtual element method for two-dimensional linear elastic fracture. CoRR abs/2111.04150 (2021) - 2020
- [j7]Joseph E. Bishop, N. Sukumar:
Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation. Comput. Aided Geom. Des. 77: 101812 (2020) - [j6]Michael S. Floater, Kai Hormann, N. Sukumar:
Special issue on "Generalized Barycentric Coordinates". Comput. Aided Geom. Des. 77: 101818 (2020) - [j5]Eric B. Chin, N. Sukumar:
An efficient method to integrate polynomials over polytopes and curved solids. Comput. Aided Geom. Des. 82: 101914 (2020) - [i2]Eric B. Chin, N. Sukumar:
Scaled boundary cubature scheme for numerical integration over polytopes and curved solids. Part I: Two-dimensional domains. CoRR abs/2011.00645 (2020)
2010 – 2019
- 2019
- [i1]Rodrigo Silva-Valenzuela, Alejandro Ortiz-Bernardin, N. Sukumar, Edoardo Artioli, Nancy Hitschfeld-Kahler:
A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition. CoRR abs/1907.00303 (2019) - 2014
- [j4]Michael S. Floater, Andrew Gillette, N. Sukumar:
Gradient Bounds for Wachspress Coordinates on Polytopes. SIAM J. Numer. Anal. 52(1): 515-532 (2014) - 2013
- [j3]Yunfeng Cai, Zhaojun Bai, John E. Pask, N. Sukumar:
Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations. J. Comput. Phys. 255: 16-30 (2013)
2000 – 2009
- 2008
- [j2]Kai Hormann, N. Sukumar:
Maximum Entropy Coordinates for Arbitrary Polytopes. Comput. Graph. Forum 27(5): 1513-1520 (2008) - 2007
- [j1]N. Sukumar, Roger J.-B. Wets:
Deriving the Continuity of Maximum-Entropy Basis Functions via Variational Analysis. SIAM J. Optim. 18(3): 914-925 (2007) - [c1]C. Britta Hirschberger, Sarah Ricker, Paul Steinmann, N. Sukumar:
Deriving Global Material Properties of a Microscopically Heterogeneous Medium - Computational Homogenisation and Opportunities in Visualisation. Visualization of Large and Unstructured Data Sets 2007: 76-87
Coauthor Index
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