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A mixed virtual element method for the Brinkman problem
(Mathematical Models and Methods in Applied Sciences vol.27 no.4 707-743 2017, 2017)
In this paper, we introduce and analyze a mixed virtual element method (mixed-VEM) for the two-dimensional Brinkman model of porous media flow with non-homogeneous Dirichlet boundary conditions. More precisely, we employ ...
Analysis of the HDG method for the stokes–darcy coupling
(Numerical Methods for Partial Differential Equations, 2017-02-03)
In this article, we introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for numerically solving the coupling of fluid flow with porous media flow. Flows are governed by the Stokes and Darcy equations, ...
Description and implementation of an algebraic multigrid preconditioner for H1-conforming finite element schemes
(Universidad Nacional, Costa Rica, 2020-07-31)
This paper presents detailed aspects regarding the implementation of the Finite Element Method (FEM) to solve a Poisson’s equation with homogeneous boundary conditions. The aim of this paper is ...
A posteriori error analysis of a mixed virtual element method for a nonlinear Brinkman model of porous media flow
(Elsevier Ltd, 2020-06-25)
In this paper we present an a posteriori error analysis of a mixed-VEM discretization
for a nonlinear Brinkman model of porous media flow, which has been proposed
by the authors in a previous work. Therein, the system ...
Una implementación computacional del método Vem Mixto para el problema de Brinkman en 2D
(Universidad de Costa Rica, 2019)
En este artículo se describen algunos aspectos específicos sobre una implementación computacional para la formulación mixta de elementos virtuales (mixed-VEM, por sus siglas en inglés) del problema lineal de Brinkman en ...
A mixed virtual element method for the boussinesq problem on polygonal meshes
(Global Science Press, 2021)
In this work we introduce and analyze a mixed virtual element method (mixed-VEM) for the two-dimensional stationary Boussinesq problem. The continuous formulation is based on the introduction of a pseudostress tensor ...
A mixed virtual element method for a pseudostress-based formulation of linear elasticity
(Elsevier B.V., 2019)
In this paper we introduce and analyze a mixed virtual element method (mixed-VEM)
for a pseudostress-displacement formulation of the linear elasticity problem with non homogeneous Dirichlet boundary conditions. We follow ...
A mixed virtual element method for quasi-Newtonian stokes flows
(SIAM, 2018)
In this paper we introduce and analyze a virtual element method (VEM) for an augmented mixed variational formulation of a class of nonlinear Stokes models arising in quasi-Newtonian fluids. While the original unknowns are ...
A RTk - P-k approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress
(Universidad Nacional, Costa Rica, 2015)
We present a non-standard mixed finite element method for the linear elasticity problem in R-n with non-homogeneous Dirichlet boundary conditions. More precisely, our approach is based on a simplified interpretation of the ...
A Priori and a Posteriori Error Analyses of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows
(Springer, 2016-12)
In a recent work we developed a new hybridizable discontinuous Galerkin (HDG) method for a class of nonlinear Stokes models arising in quasi-Newtonian fluids. The approach there uses the incompressibility condition to ...