Deriving Global Material Properties of a Microscopically Heterogeneous Medium - Computational Homogenisation and Opportunities in Visualisation. - C. Britta Hirschberger; Sarah Ricker; Paul Steinmann; N. Sukumar (Visualization of Large and Unstructured Data Sets, 2007)

Deriving the Continuity of Maximum-Entropy Basis Functions via Variational Analysis. - N. Sukumar; Roger J.-B. Wets (SIAM J. Optim., 2007)

Maximum Entropy Coordinates for Arbitrary Polytopes. - Kai Hormann; N. Sukumar (Comput. Graph. Forum, 2008)

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)

Gradient Bounds for Wachspress Coordinates on Polytopes. - Michael S. Floater; Andrew Gillette; N. Sukumar (SIAM J. Numer. Anal., 2014)

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)

Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation. - Joseph E. Bishop; 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)

Special issue on "Generalized Barycentric Coordinates". - Michael S. Floater; Kai Hormann; N. Sukumar (Comput. Aided Geom. Des., 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)

Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks. - N. Sukumar; Ankit Srivastava (CoRR, 2021)

Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations. - N. Sukumar; Michael R. Tupek (CoRR, 2021)

Extended virtual element method for two-dimensional linear elastic fracture. - Elena Benvenuti; Andrea Chiozzi; Gianmarco Manzini; N. Sukumar (CoRR, 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)

Virtual element method for modeling the deformation of multiphase composites. - N. Sukumar; John E. Bolander (CoRR, 2022)

Stabilization-free serendipity virtual element method for plane elasticity. - Alvin Chen; N. Sukumar (CoRR, 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)

Continuous gap contact formulation based on the screened Poisson equation. - Pedro Areias; N. Sukumar; J. Ambrósio (CoRR, 2023)

Quantitative study of the stabilization parameter in the virtual element method. - Alessandro Russo 002; 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)

Nonnegative moment coordinates on finite element geometries. - Luca Dieci; Fabio V. Difonzo; N. Sukumar (CoRR, 2023)

Stabilization-free virtual element method for plane elasticity. - Alvin Chen; N. Sukumar (Comput. Math. Appl., 2023)

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)

Penalty-free discontinuous Galerkin method. - Jan Jaskowiec; N. Sukumar (CoRR, 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)

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)