We develop divergence-conforming B-spline discretizations for the numerical solution of the
Darcy–Stokes–Brinkman equations. These discretizations are motivated by the recent theory …

We propose and analyse a new family of nonconforming elements for the Brinkman problem
of porous media flow. The corresponding finite element methods are robust with respect to …

The Brinkman model is a unified law governing the flow of a viscous fluid in an
inhomogeneous medium, where fractures, bubbles, or channels alternate inside a porous …

In this paper, we develop a uniform robust weak Galerkin finite element scheme for
Brinkman equations. The major idea for achieving uniform energy-error estimate is to use a …

Abstract The incompressible Navier-Stokes equations are among the most important partial
differential systems arising from classical physics. They are utilized to model a wide range of …

The H (div)-conforming approach for the Brinkman equation is studied numerically, verifying
the theoretical a priori and a posteriori analysis in Könnö and Stenberg (2010; Math Models …

This paper presents a pressure-robust enriched Galerkin (EG) method for the Brinkman
equations with minimal degrees of freedom based on EG velocity and pressure spaces. The …

The big end bearing of a connecting rod is one of the most highly loaded bearings in marine
engines. This paper presents a feasibility study and optimization of the geometrical …

We develop divergence-conforming B-spline discretizations for the numerical solution of the
Darcy-Stokes-Brinkman equations. These discretizations are motivated by the recent theory …