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pro vyhledávání: '"Sukumar, N"'
Autor:
Sukumar, N., Acharya, Amit
Many partial differential equations (PDEs) such as Navier--Stokes equations in fluid mechanics, inelastic deformation in solids, and transient parabolic and hyperbolic equations do not have an exact, primal variational structure. Recently, a variatio
Externí odkaz:
http://arxiv.org/abs/2412.01232
Autor:
Jaśkowiec, Jan, Sukumar, N.
In this paper, we present a new high-order discontinuous Galerkin (DG) method, in which neither a penalty parameter nor a stabilization parameter is needed. We refer to this method as penalty-free DG (\PFDG). In this method, the trial and test functi
Externí odkaz:
http://arxiv.org/abs/2403.00125
In this paper, we present a first-order Stress-Hybrid Virtual Element Method (SH-VEM) on six-noded triangular meshes for linear plane elasticity. We adopt the Hellinger--Reissner variational principle to construct a weak equilibrium condition and a s
Externí odkaz:
http://arxiv.org/abs/2401.06280
In this paper, we introduce new generalized barycentric coordinates (coined as {\em moment coordinates}) on nonconvex quadrilaterals and convex hexahedra with planar faces. This work draws on recent advances in constructing interpolants to describe t
Externí odkaz:
http://arxiv.org/abs/2309.02441
Autor:
Čertík, Ondřej, Pask, John E., Fernando, Isuru, Goswami, Rohit, Sukumar, N., Collins, Lee A., Manzini, Gianmarco, Vackář, Jiří
We introduce \texttt{featom}, an open source code that implements a high-order finite element solver for the radial Schr\"odinger, Dirac, and Kohn-Sham equations. The formulation accommodates various mesh types, such as uniform or exponential, and th
Externí odkaz:
http://arxiv.org/abs/2307.05856
Autor:
Chen, Alvin, Sukumar, N.
In this paper, we propose a robust low-order stabilization-free virtual element method on quadrilateral meshes for linear elasticity that is based on the stress-hybrid principle. We refer to this approach as the Stress-Hybrid Virtual Element Method (
Externí odkaz:
http://arxiv.org/abs/2304.04941
Autor:
Russo, Alessandro, Sukumar, N.
The choice of stabilization term is a critical component of the virtual element method (VEM). However, the theory of VEM provides only asymptotic guidance for selecting the stabilization term, which ensures convergence as the mesh size approaches zer
Externí odkaz:
http://arxiv.org/abs/2304.00063
We introduce a PDE-based node-to-element contact formulation as an alternative to classical, purely geometrical formulations. It is challenging to devise solutions to nonsmooth contact problem with continuous gap using finite element discretizations.
Externí odkaz:
http://arxiv.org/abs/2302.13158
Autor:
Sukumar, N.
Publikováno v:
CASTE: A Global Journal on Social Exclusion, 2023 Oct 01. 4(2), 306-318.
Externí odkaz:
https://www.jstor.org/stable/48749131
