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A stability analysis for finite volume schemes applied to the Maxwell system. (English) Zbl 0956.78019
The author presents 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. She also compares the stability domains obtained when considering the Maxwell system and the convection equation.

MSC:
78M25 Numerical methods in optics (MSC2010)
78A25 Electromagnetic theory, general
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