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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A stability analysis for finite volume schemes applied to the Maxwell system
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We investigate sufficient and possibly necessary conditions for the stability of the upwind first order finite volume scheme for Maxwell equations, with metallic and absorbing boundary conditions. We yield a very general sufficient condition, valid for any finite volume partition in two and three space dimensions. We show this condition is necessary for a class of regular meshes in two space dimensions. However, numerical tests show it is not necessary in three space...
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