Pressure projection stabilizations for Galerkin approximations of Stokes's and Darcy's problem

Burman, Erik (2008) Pressure projection stabilizations for Galerkin approximations of Stokes's and Darcy's problem. Numerical Methods for Partial Differential Equations, 24 (1). pp. 127-143. ISSN 0749-159X

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Abstract

In this study, we consider some recent stabilization techniques for the Stokes' problem and show that they are instances of the framework proposed by Brezzi and Fortin in “A minimal stabilisation procedure for mixed finite element methods” (Numer Math 89, (2001) 457). We also propose an analysis for Taylor-Hood elements with discontinuous pressures stabilized using penalization of the interelement pressure jumps.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Erik Burman
Date Deposited: 06 Feb 2012 18:13
Last Modified: 09 Jul 2012 09:44
URI: http://sro.sussex.ac.uk/id/eprint/15307
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