N. Sukumar

According to our database, N. Sukumar authored at least 26 papers between 2007 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

High-order finite element method for atomic structure calculations.

Ondrej Certík, John E. Pask, Isuru Fernando, Rohit Goswami, N. Sukumar, Lee A. Collins, Gianmarco Manzini, Jirí Vackár

Comput. Phys. Commun., 2024

Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants.

N. Sukumar, Amit Acharya

CoRR, 2024

Penalty-free discontinuous Galerkin method.

Jan Jaskowiec, N. Sukumar

CoRR, 2024

Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity.

Alvin Chen, Joseph E. Bishop, N. Sukumar

CoRR, 2024

2023

Stabilization-free virtual element method for plane elasticity.

Alvin Chen, N. Sukumar

Comput. Math. Appl., May, 2023

Nonnegative moment coordinates on finite element geometries.

Luca Dieci, Fabio V. Difonzo, N. Sukumar

CoRR, 2023

Stress-hybrid virtual element method on quadrilateral meshes for compressible and nearly-incompressible linear elasticity.

Alvin Chen, N. Sukumar

CoRR, 2023

Quantitative study of the stabilization parameter in the virtual element method.

Alessandro Russo, N. Sukumar

CoRR, 2023

Continuous gap contact formulation based on the screened Poisson equation.

Pedro Areias, N. Sukumar, J. Ambrósio

CoRR, 2023

2022

Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks.

Stefano Berrone, Claudio Canuto, Moreno Pintore, N. Sukumar

CoRR, 2022

Stabilization-free serendipity virtual element method for plane elasticity.

Alvin Chen, N. Sukumar

CoRR, 2022

Virtual element method for modeling the deformation of multiphase composites.

N. Sukumar, John E. Bolander

CoRR, 2022

2021

Spectral extended finite element method for band structure calculations in phononic crystals.

Eric B. Chin, Amir Ashkan Mokhtari, Ankit Srivastava, N. Sukumar

J. Comput. Phys., 2021

Extended virtual element method for two-dimensional linear elastic fracture.

Elena Benvenuti, Andrea Chiozzi, Gianmarco Manzini, N. Sukumar

CoRR, 2021

Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations.

N. Sukumar, Michael R. Tupek

CoRR, 2021

Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks.

N. Sukumar, Ankit Srivastava

CoRR, 2021

2020

Scaled boundary cubature scheme for numerical integration over polytopes and curved solids. Part I: Two-dimensional domains.

Eric B. Chin, N. Sukumar

CoRR, 2020

Special issue on "Generalized Barycentric Coordinates".

Michael S. Floater, Kai Hormann, N. Sukumar

Comput. Aided Geom. Des., 2020

An efficient method to integrate polynomials over polytopes and curved solids.

Eric B. Chin, N. Sukumar

Comput. Aided Geom. Des., 2020

Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation.

Joseph E. Bishop, N. Sukumar

Comput. Aided Geom. Des., 2020

2019

A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition.

Rodrigo Silva-Valenzuela, Alejandro Ortiz-Bernardin, N. Sukumar, Edoardo Artioli, Nancy Hitschfeld-Kahler

CoRR, 2019

2014

Gradient Bounds for Wachspress Coordinates on Polytopes.

Michael S. Floater, Andrew Gillette, N. Sukumar

SIAM J. Numer. Anal., 2014

2013

Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations.

Yunfeng Cai, Zhaojun Bai, John E. Pask, N. Sukumar

J. Comput. Phys., 2013

2008

Maximum Entropy Coordinates for Arbitrary Polytopes.

Kai Hormann, N. Sukumar

Comput. Graph. Forum, 2008

2007

Deriving the Continuity of Maximum-Entropy Basis Functions via Variational Analysis.

N. Sukumar, Roger J.-B. Wets

SIAM J. Optim., 2007

Deriving Global Material Properties of a Microscopically Heterogeneous Medium - Computational Homogenisation and Opportunities in Visualisation.

C. Britta Hirschberger, Sarah Ricker, Paul Steinmann, N. Sukumar

Proceedings of the Visualization of Large and Unstructured Data Sets: Second workshop of the DFG's International Research Training Group "Visualization of Large and Unstructured Data Sets, 2007