A stability analysis for finite volume schemes applied to the Maxwell system
Sophie Depeyre (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Displaying similar documents to “Plane wave stability of some conservative schemes for the cubic Schrödinger equation”
A stability analysis for finite volume schemes applied to the Maxwell system
A stability analysis for finite volume schemes applied to the Maxwell system
Sophie Depeyre (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present in this paper a stability study concerning finite volume schemes applied to the two-dimensional Maxwell system, using rectangular or triangular meshes. A stability condition is proved for the first-order upwind scheme on a rectangular mesh. Stability comparisons between the Yee scheme and the finite volume formulation are proposed. We also compare the stability domains obtained when considering the Maxwell system and the convection equation.
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T. Lewiński (1984)
Applicationes Mathematicae
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Mathematical Problems in Engineering
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Halim, A. A., Kshevetskii, S. P., Leble, S. B. (2003)
International Journal of Mathematics and Mathematical Sciences
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-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes
Serge Piperno (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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