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A stability analysis for finite volume schemes applied to the Maxwell system

Published online by Cambridge University Press:  15 August 2002

Sophie Depeyre
Sophie Depeyre*
Affiliation:
CERMICS-INRIA, B.P. 93, 06902 Sophia-Antipolis Cedex, France. Pôle Universitaire Léonard de Vinci, 92916 La Défense Cedex, France. [email protected].
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Abstract

We present in this paper a stability study concerning finite volume schemesapplied to the two-dimensional Maxwell system, using rectangular or triangular meshes. A stability condition is proved for thefirst-order upwind scheme on a rectangular mesh. Stability comparisonsbetween the Yee scheme and the finite volume formulation are proposed.We also compare the stability domains obtained when considering theMaxwell system and the convection equation.

Keywords

Finite volumefinite elementstabilityMaxwell systemFourier analysis.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 3 , May 1999 , pp. 443 - 458
Copyright
© EDP Sciences, SMAI, 1999

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