N. Sukumar

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All published works

Action	Title	Year	Authors
+ PDF Chat	Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity	2024	Alvin Chen Joseph E. Bishop N. Sukumar
+ PDF Chat	Penalty‐free discontinuous Galerkin method	2024	Jan Jaśkowiec N. Sukumar
+ PDF Chat	Penalty-free discontinuous Galerkin method	2024	Jan Jaśkowiec N. Sukumar
+	Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity	2024	Alvin Chen Joseph E. Bishop N. Sukumar
+	Nonnegative moment coordinates on finite element geometries	2024	Luca Dieci Fabio V. Difonzo N. Sukumar
+ PDF Chat	Quantitative Study of the Stabilization Parameter in the Virtual Element Method	2024	Alessandro Russo N. Sukumar
+	High-order finite element method for atomic structure calculations	2023	Ondřej Čertı́k John E. Pask Isuru Fernando Rohit Goswami N. Sukumar L. A. Collins Gianmarco Manzini Jiří Vackář
+ PDF Chat	Stress‐hybrid virtual element method on quadrilateral meshes for compressible and nearly‐incompressible linear elasticity	2023	Alvin Chen N. Sukumar
+ PDF Chat	Stabilization-free virtual element method for plane elasticity	2023	Alvin Chen N. Sukumar
+	High-order finite element method for atomic structure calculations	2023	Ondřej Čertı́k John E. Pask Isuru Fernando Rohit Goswami N. Sukumar L. A. Collins Gianmarco Manzini Jiří Vackář
+	Nonnegative moment coordinates on finite element geometries	2023	Luca Dieci Fabio V. Difonzo N. Sukumar
+ PDF Chat	Stabilization-free serendipity virtual element method for plane elasticity	2022	Alvin Chen N. Sukumar
+ PDF Chat	Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations	2022	N. Sukumar Michael Tupek
+ PDF Chat	Virtual element method for modeling the deformation of multiphase composites	2022	N. Sukumar John E. Bolander
+	Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks	2021	N. Sukumar Ankit Srivastava
+ PDF Chat	Extended virtual element method for two-dimensional linear elastic fracture	2021	Elena Benvenuti Andrea Chiozzi Gianmarco Manzini N. Sukumar
+	Extended virtual element method for two-dimensional linear elastic fracture	2021	Elena Benvenuti Andrea Chiozzi Gianmarco Manzini N. Sukumar
+	Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks.	2021	N. Sukumar Ankit Srivastava
+ PDF Chat	Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries	2021	Eric Chin N. Sukumar
+ PDF Chat	Spectral extended finite element method for band structure calculations in phononic crystals	2021	Eric Chin Amir Ashkan Mokhtari Ankit Srivastava N. Sukumar
+ PDF Chat	Spectral extended finite element method for band structure calculations in phononic crystals	2020	Eric Chin Amir Ashkan Mokhtari Ankit Srivastava N. Sukumar
+	Addendum to the paper “High‐order symmetric cubature rules for tetrahedra and pyramids”	2020	Jan Jaśkowiec N. Sukumar
+	Scaled boundary cubature scheme for numerical integration over polytopes and curved solids. Part I: Two-dimensional domains.	2020	Eric Chin N. Sukumar
+	High‐order symmetric cubature rules for tetrahedra and pyramids	2020	Jan Jaśkowiec N. Sukumar
+ PDF Chat	An efficient method to integrate polynomials over polytopes and curved solids	2020	Eric Chin N. Sukumar
+	Special issue on “Generalized Barycentric Coordinates”	2020	Michael S. Floater Kai Hormann N. Sukumar
+	High‐order cubature rules for tetrahedra	2020	Jan Jaśkowiec N. Sukumar
+ PDF Chat	A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition	2019	Rodrigo Silva-Valenzuela Alejandro Ortiz‐Bernardin N. Sukumar E. Artioli Nancy Hitschfeld
+	The gradient discretization framework for virtual element and partition of unity methods for the Schrodinger equation	2018	Gianmarco Manzini Ondřej Čertı́k Jérôme Droniou N. Sukumar
+ PDF Chat	Orbital-enriched flat-top partition of unity method for the Schrödinger eigenproblem	2018	Clelia Albrecht Constanze Klaar John E. Pask Marc Alexander Schweitzer N. Sukumar Albert Ziegenhagel
+	Convergence Analysis of a Locally Accelerated Preconditioned Steepest Descent Method for Hermitian-Definite Generalized Eigenvalue Problems	2018	Yunfeng Cai Zhaojun Bai John E. Pask N. Sukumar
+	An eXtended Virtual Element Method for the Laplace problem withstrong discontinuities and vertex singularities	2018	Elena Benvenuti Andrea Chiozzi Manzini Gianmarco N. Sukumar
+ PDF Chat	Partition of unity finite element method for quantum mechanical materials calculations	2016	John E. Pask N. Sukumar
+	Convergence analysis of a locally accelerated preconditioned steepest descent method for Hermitian-definite generalized eigenvalue problems	2016	Yunfeng Cai Zhaojun Bai John E. Pask N. Sukumar
+	Partition of unity finite element method for quantum mechanical materials calculations	2016	John E. Pask N. Sukumar
+ PDF Chat	Gradient Bounds for Wachspress Coordinates on Polytopes	2014	Michael S. Floater Andrew Gillette N. Sukumar
+ PDF Chat	Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations	2013	Yunfeng Cai Zhaojun Bai John E. Pask N. Sukumar
+ PDF Chat	Efficient adaptive integration of functions with sharp gradients and cusps in <i>n</i>‐dimensional parallelepipeds	2012	Mohammad Mousavi John E. Pask N. Sukumar
+	Efficient adaptive integration of functions with sharp gradients and cusps in n-dimensional parallelepipeds	2012	Mohammad Mousavi John E. Pask N. Sukumar
+ PDF Chat	Linear scaling solution of the all-electron Coulomb problem in solids	2011	N. Sukumar
+ PDF Chat	Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons	2010	Seyyed Ebrahim Mousavi N. Sukumar
+	Linear scaling solution of the all-electron Coulomb problem in solids	2010	John E. Pask N. Sukumar Seyyed Ebrahim Mousavi
+ PDF Chat	Generalized Duffy transformation for integrating vertex singularities	2009	Mohammad Mousavi N. Sukumar
+ PDF Chat	Generalized Gaussian quadrature rules on arbitrary polygons	2009	Mohammad Mousavi Hanguang Xiao N. Sukumar
+ PDF Chat	Deriving the Continuity of Maximum-Entropy Basis Functions via Variational Analysis	2007	N. Sukumar Roger J.‐B. Wets
+	C1natural neighbor interpolant for partial differential equations	1999	N. Sukumar Brian J. Moran
+	Effect of Boundary Conditions on Cellular Automata that Classify Density	1998	N. Sukumar
+	Cellular automata in computational quantum chemistry	1995	N. Sukumar

Common Coauthors

Coauthor	Papers Together
John E. Pask	11
Gianmarco Manzini	5
Alvin Chen	5
Eric Chin	5
Jan Jaśkowiec	5
Mohammad Mousavi	4
Ankit Srivastava	4
Zhaojun Bai	3
Yunfeng Cai	3
Elena Benvenuti	3
Ondřej Čertı́k	3
Jiří Vackář	2
Joseph E. Bishop	2
Rohit Goswami	2
Isuru Fernando	2
Fabio V. Difonzo	2
L. A. Collins	2
Amir Ashkan Mokhtari	2
Andrea Chiozzi	2
Luca Dieci	2
Seyyed Ebrahim Mousavi	2
Michael S. Floater	2
Kai Hormann	1
Albert Ziegenhagel	1
John E. Bolander	1
Rodrigo Silva-Valenzuela	1
Andrew Gillette	1
Michael Tupek	1
Constanze Klaar	1
Clelia Albrecht	1
Nancy Hitschfeld	1
Jérôme Droniou	1
Alejandro Ortiz‐Bernardin	1
Alessandro Russo	1
Hanguang Xiao	1
Roger J.‐B. Wets	1
Andrea Chiozzi	1
Marc Alexander Schweitzer	1
Brian J. Moran	1
E. Artioli	1
Manzini Gianmarco	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the Virtual Element Method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes	2014	Arun L. Gain Cameron Talischi Gláucio H. Paulino	7
+ PDF Chat	Linear scaling solution of the all-electron Coulomb problem in solids	2011	N. Sukumar	7
+ PDF Chat	Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries	2021	Eric Chin N. Sukumar	7
+ PDF Chat	Generalized Duffy transformation for integrating vertex singularities	2009	Mohammad Mousavi N. Sukumar	6
+ PDF Chat	Three real‐space discretization techniques in electronic structure calculations	2006	T. Torsti Timo Eirola Jussi Enkovaara Tero Hakala P. Havu Ville Havu Tommi Höynälänmaa Janne Ignatius Mikko Lyly Ilja Makkonen	5
+	A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions	2009	Hong Xiao Zydrunas Gimbutas	5
+ PDF Chat	Arbitrary order 2D virtual elements for polygonal meshes: part I, elastic problem	2017	E. Artioli L. Beirão da Veiga Carlo Lovadina Elio Sacco	5
+	High-order Virtual Element Method on polyhedral meshes	2017	L. Beirão da Veiga Franco Dassi A. Russo	5
+ PDF Chat	Real-space local polynomial basis for solid-state electronic-structure calculations: A finite-element approach	1999	John E. Pask Bern Klein C. Y. Fong P. A. Sterne	5
+ PDF Chat	Real-space mesh techniques in density-functional theory	2000	Thomas L. Beck	5
+ PDF Chat	Generalized Gaussian quadrature rules on arbitrary polygons	2009	Mohammad Mousavi Hanguang Xiao N. Sukumar	5
+ PDF Chat	Multiresolution analysis of electronic structure: semicardinal and wavelet bases	1999	T. A. Arias	5
+	Curvilinear Virtual Elements for 2D solid mechanics applications	2019	E. Artioli L. Beirão da Veiga Franco Dassi	5
+	Efficient virtual element formulations for compressible and incompressible finite deformations	2017	Peter Wriggers B.D. Reddy Wilhelm Rust Blaž Hudobivnik	5
+ PDF Chat	An enhanced VEM formulation for plane elasticity	2021	Antonio Maria D’Altri Stefano de Miranda Luca Patruno Elio Sacco	4
+ PDF Chat	Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation	2011	Lin Lin Jianfeng Lu Lexing Ying E Weinan	4
+	On the identification of symmetric quadrature rules for finite element methods	2015	Freddie Witherden Peter Vincent	4
+	Exploring high-order three dimensional virtual elements: Bases and stabilizations	2018	Franco Dassi Lorenzo Mascotto	4
+ PDF Chat	Symmetric quadrature formulae for simplexes	1970	P. Silvester	4
+ PDF Chat	A two-dimensional interpolation function for irregularly-spaced data	1968	Donald S. Shepard	4
+ PDF Chat	All-electron density functional theory and time-dependent density functional theory with high-order finite elements	2009	Lauri Lehtovaara Ville Havu M. J. Puska	4
+	An adaptive numerical cubature algorithm for simplices	2003	Alan Genz Ronald Cools	3
+ PDF Chat	Daubechies wavelets as a basis set for density functional pseudopotential calculations	2008	Luigi Genovese Alexey Neelov Stefan Goedecker Thierry Deutsch S. Alireza Ghasemi Alexander Willand Damien Caliste Oded Zilberberg M. J. Rayson Anders Bergman	3
+	Symmetric quadrature rules on a triangle	2003	S. Wandzurat Hanshen Xiao	3
+	Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement	2012	Lee Shunn Frank Ham	3
+ PDF Chat	Stabilization-free virtual element method for plane elasticity	2023	Alvin Chen N. Sukumar	3
+	A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations	2003	Marc Alexander Schweitzer	3
+	Approximate Calculation of Multiple Integrals	1973	W. G. A. H. Stroud	3
+ PDF Chat	Nonequilibrium electron transport in two-dimensional nanostructures modeled using Green’s functions and the finite-element method	2004	P. Havu Ville Havu M. J. Puska R. M. Nieminen	3
+	Signed -distance fields	2012	Alexander Belyaev Pierre‐Alain Fayolle Alexander Pasko	3
+	Barycentric Coordinates and Their Properties	2017	Dmitry Anisimov	3
+ PDF Chat	Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations	2013	Yunfeng Cai Zhaojun Bai John E. Pask N. Sukumar	3
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	3
+ PDF Chat	Relativistic separable dual-space Gaussian pseudopotentials from H to Rn	1998	C. Hartwigsen Stefan Goedecker Jürg Hutter	3
+ PDF Chat	Transfinite mean value interpolation	2008	Christopher Dyken Michael S. Floater	3
+ PDF Chat	Real-space adaptive-coordinate electronic-structure calculations	1995	François Gygi Giulia Galli	2
+ PDF Chat	Linear scaling solution of the Coulomb problem using wavelets	1998	Stefan Goedecker O. V. Ivanov	2
+ PDF Chat	New fully symmetric and rotationally symmetric cubature rules on the triangle using minimal orthonormal bases	2015	Stefanos‐Aldo Papanicolopulos	2
+ PDF Chat	Stabilized finite element method for the radial Dirac equation	2012	Hasan Almanasreh Sten Salomonson Nils Svanstedt	2
+ PDF Chat	Application of the dual-kinetic-balance sets in the relativistic many-body problem of atomic structure	2008	K. Beloy Andrei Derevianko	2
+	The Mimetic Finite Difference Method for Elliptic Problems	2014	L. Beirão da Veiga Konstantin Lipnikov Gianmarco Manzini	2
+ PDF Chat	Libxc: A library of exchange and correlation functionals for density functional theory	2012	Miguel A. L. Marques Micael J. T. Oliveira T. Burnus	2
+	On the evaluation of overlap integrals with exponential‐type basis functions	1992	Herbert H. H. Homeier E. Otto Steinborn	2
+	Transfinite Barycentric Coordinates	2017	Alexander Belyaev Alla Sheffer Konrad Polthier	2
+	Barycentric coordinates for convex polytopes	1996	Joe Warren	2
+ PDF Chat	Timesaving Double-Grid Method for Real-Space Electronic-Structure Calculations	1999	Tomoya Ono Kikuji Hirose	2
+ PDF Chat	Efficient solution of Poisson’s equation with free boundary conditions	2006	Luigi Genovese Thierry Deutsch Alexey Neelov Stefan Goedecker Gregory Beylkin	2
+	An adaptive algorithm for numerical integration over an n-dimensional cube	1976	Paul Van Dooren Luc de Ridder	2
+ PDF Chat	Projector augmented-wave method	1994	Peter E. Blöchl	2
+ PDF Chat	Product Gauss cubature over polygons based on Green’s integration formula	2007	Alvise Sommariva Michelangelo Vianello	2