The focus of this paper is on develo** a virtual element method (VEM) for Darcy and
Brinkman equations. In [L. Beirão da Veiga, C. Lovadina and G. Vacca, ESAIM Math. Model …

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 …

In this work, we develop and analyse a novel Hybrid High-Order discretisation of the
Brinkman problem. The method hinges on hybrid discrete velocity unknowns at faces and …

A new mixed variational formulation for the Navier--Stokes equations with constant density
and variable viscosity depending nonlinearly on the gradient of velocity, is proposed and …

In this paper, we propose and analyze a-virtual element method of high order to solve the
Brinkman problem formulated in terms of the stream function. The velocity is obtained as a …

In this paper we propose a novel staggered discontinuous Galerkin method for the Brinkman
problem on general polygonal meshes. The proposed method is robust in the Stokes and …

In this paper, we extend the utilization of pseudostress-based formulation, recently
employed for solving diverse linear and nonlinear problems in continuum mechanics via …

This article deals with the error analysis of a Galerkin‐mixed finite element methods for the
advection–reaction–diffusion Brinkman flow in porous media. Numerical methods for …

We introduce a family of mixed methods and discontinuous Galerkin discretisations
designed to numerically solve the Oseen equations written in terms of velocity, vorticity, and …

We propose and analyze a fully-mixed finite element method to numerically approximate the
flow patterns of a viscous fluid within a highly permeable medium (an array of low …