COMPUTATIONS WITH FINITE ELEMENT METHODS FOR THE BRINKMAN PROBLEM

Abstract: Various finite element families for the Brinkman flow (or Stokes-Darcy flow) are tested numerically. Particularly the effect of small permeabil-ity is studied. The tested finite elements are the MINI element, the Taylor-Hood element, and the stabilized equal order methods. The numerical tests include both a priori analysis and adaptive methods. AMS subject classifications: 65N3