N. Sukumar

30 papers Journal 29Unranked 1
YearRankTypeTitle / Venue / Authors
2026 J jnl
A Wachspress-based transfinite formulation for exactly enforcing Dirichlet boundary conditions on convex polygonal domains in physics-informed neural networks.
CoRR
N. Sukumar, Ritwick Roy
2026 J jnl
Molecular Representations for AI in Chemistry and Materials Science: An NLP Perspective.
CoRR
Sanjanasri J. P., Pratiti Bhadra, N. Sukumar, Soman K. P.
2025 J jnl
CutVEM: Conforming virtual element method on embedded domains with shape-agnostic element agglomeration.
CoRR
Ramsharan Rangarajan, N. Sukumar
2024 J jnl
High-order finite element method for atomic structure calculations.
Comput. Phys. Commun.
Ondrej Certík, John E. Pask, Isuru Fernando, Rohit Goswami, N. Sukumar, Lee A. Collins, Gianmarco Manzini, Jirí Vackár
2024 J jnl
Penalty-free discontinuous Galerkin method.
CoRR
Jan Jaskowiec, N. Sukumar
2024 J jnl
Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity.
CoRR
Alvin Chen, Joseph E. Bishop, N. Sukumar
2024 J jnl
Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants.
CoRR
N. Sukumar, Amit Acharya
2023 J jnl
Continuous gap contact formulation based on the screened Poisson equation.
CoRR
Pedro Areias, N. Sukumar, J. Ambrósio
2023 J jnl
Nonnegative moment coordinates on finite element geometries.
CoRR
Luca Dieci, Fabio V. Difonzo, N. Sukumar
2023 J jnl
Quantitative study of the stabilization parameter in the virtual element method.
CoRR
Alessandro Russo, N. Sukumar
2023 J jnl
Stabilization-free virtual element method for plane elasticity.
Comput. Math. Appl.
Alvin Chen, N. Sukumar
2023 J jnl
Stress-hybrid virtual element method on quadrilateral meshes for compressible and nearly-incompressible linear elasticity.
CoRR
Alvin Chen, N. Sukumar
2022 J jnl
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks.
CoRR
Stefano Berrone, Claudio Canuto, Moreno Pintore, N. Sukumar
2022 J jnl
Stabilization-free serendipity virtual element method for plane elasticity.
CoRR
Alvin Chen, N. Sukumar
2022 J jnl
Stabilization-free virtual element method for plane elasticity.
CoRR
Alvin Chen, N. Sukumar
2022 J jnl
Virtual element method for modeling the deformation of multiphase composites.
CoRR
N. Sukumar, John E. Bolander
2021 J jnl
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks.
CoRR
N. Sukumar, Ankit Srivastava
2021 J jnl
Extended virtual element method for two-dimensional linear elastic fracture.
CoRR
Elena Benvenuti, Andrea Chiozzi, Gianmarco Manzini, N. Sukumar
2021 J jnl
Spectral extended finite element method for band structure calculations in phononic crystals.
J. Comput. Phys.
Eric B. Chin, Amir Ashkan Mokhtari, Ankit Srivastava, N. Sukumar
2021 J jnl
Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations.
CoRR
N. Sukumar, Michael R. Tupek
2020 J jnl
An efficient method to integrate polynomials over polytopes and curved solids.
Comput. Aided Geom. Des.
Eric B. Chin, N. Sukumar
2020 J jnl
Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation.
Comput. Aided Geom. Des.
Joseph E. Bishop, N. Sukumar
2020 J jnl
Scaled boundary cubature scheme for numerical integration over polytopes and curved solids. Part I: Two-dimensional domains.
CoRR
Eric B. Chin, N. Sukumar
2020 J jnl
Special issue on "Generalized Barycentric Coordinates".
Comput. Aided Geom. Des.
Michael S. Floater, Kai Hormann, N. Sukumar
2019 J jnl
A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition.
CoRR
Rodrigo Silva-Valenzuela, Alejandro Ortiz-Bernardin, N. Sukumar, Edoardo Artioli, Nancy Hitschfeld-Kahler
2014 J jnl
Gradient Bounds for Wachspress Coordinates on Polytopes.
SIAM J. Numer. Anal.
Michael S. Floater, Andrew Gillette, N. Sukumar
2013 J jnl
Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations.
J. Comput. Phys.
Yunfeng Cai, Zhaojun Bai, John E. Pask, N. Sukumar
2008 J jnl
Maximum Entropy Coordinates for Arbitrary Polytopes.
Comput. Graph. Forum
Kai Hormann, N. Sukumar
2007 — conf
Deriving Global Material Properties of a Microscopically Heterogeneous Medium - Computational Homogenisation and Opportunities in Visualisation.
Visualization of Large and Unstructured Data Sets
C. Britta Hirschberger, Sarah Ricker, Paul Steinmann, N. Sukumar
2007 J jnl
Deriving the Continuity of Maximum-Entropy Basis Functions via Variational Analysis.
SIAM J. Optim.
N. Sukumar, Roger J.-B. Wets