Zobrazeno 1 - 10
of 71
pro vyhledávání: '"da Veiga, Lourenço Beirão"'
We carry out a stability and convergence analysis for the fully discrete scheme obtained by combining a finite or virtual element spatial discretization with the upwind-discontinuous Galerkin time-stepping applied to the time-dependent advection-diff
Externí odkaz:
http://arxiv.org/abs/2410.13635
We analyze a Discontinuous Galerkin method for a problem with linear advection-reaction and $p$-type diffusion, with Sobolev indices $p\in (1, \infty)$. The discretization of the diffusion term is based on the full gradient including jump liftings an
Externí odkaz:
http://arxiv.org/abs/2402.09814
We introduce a nonconforming virtual element method for the Poisson equation on domains with curved boundary and internal interfaces. We prove arbitrary order optimal convergence in the energy and $L^2$ norms, and validate the theoretical results wit
Externí odkaz:
http://arxiv.org/abs/2303.15204
We develop interpolation error estimates for general order standard and serendipity edge and face virtual elements in two and three dimensions. Contextually, we investigate the stability properties of the associated L2 discrete bilinear forms. These
Externí odkaz:
http://arxiv.org/abs/2203.00303
We present a four-field Virtual Element discretization for the time-dependent resistive Magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete formulation. The proposed method employs general polyhedral meshes and gua
Externí odkaz:
http://arxiv.org/abs/2201.04417
Publikováno v:
Comput. Methods Appl. Mech. Engrg. 397, Paper No. 115061, 2022
This paper contains two major contributions. First we derive, following the discrete de Rham (DDR) and Virtual Element (VEM) paradigms, pressure-robust methods for the Stokes equations that support arbitrary orders and polyhedral meshes. Unlike other
Externí odkaz:
http://arxiv.org/abs/2112.09750
We analyse the interpolation properties of 2D and 3D low order virtual element face and edge spaces, which generalize N\'ed\'elec and Raviart-Thomas polynomials to polygonal-polyhedral meshes. Moreover, we investigate the stability properties of the
Externí odkaz:
http://arxiv.org/abs/2011.12834
Akademický článek
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In the present contribution, we construct a virtual element (VE) discretization for the problem of miscible displacement of one incompressible fluid by another, described by a time-dependent coupled system of nonlinear partial differential equations.
Externí odkaz:
http://arxiv.org/abs/1907.13080
Akademický článek
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