A continuous finite element method with face penalty to approximate Friedrichs' systems.

Burman, Erik and Ern, Alexandre (2007) A continuous finite element method with face penalty to approximate Friedrichs' systems. Modélisation mathématique et analyse numérique, 41 (1). pp. 55-76. ISSN 0764-583X

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Abstract

A continuous finite element method to approximate Friedrichs' systems is proposed and analyzed. Stability is achieved by penalizing the jumps across mesh interfaces of the normal derivative of some components of the discrete solution. The convergence analysis leads to optimal convergence rates in the graph norm and suboptimal of order convergence rates in the L2-norm. A variant of the method specialized to Friedrichs' systems associated with elliptic PDE's in mixed form and reducing the number of nonzero entries in the stiffness matrix is also proposed and analyzed. Finally, numerical results are presented to illustrate the theoretical analysis.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Erik Burman
Date Deposited: 06 Feb 2012 21:01
Last Modified: 11 Apr 2012 08:45
URI: http://sro.sussex.ac.uk/id/eprint/29160
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