Bérenger/Maxwell with Discontinous Absorptions : Existence, Perfection, and No Loss
Laurence Halpern1; Jeffrey Rauch2
1 LAGA, UMR 7539 CNRS Université Paris 13 93430 Villetaneuse France
2 Department of Mathematics University of Michigan Ann Arbor 48109 MI USA
Séminaire Laurent Schwartz — EDP et applications (2012-2013), Talk no. 10, 20 p.

We analyse Bérenger’s split algorithm applied to the system version of the two dimensional wave equation with absorptions equal to Heaviside functions of x j , j=1,2. The methods form the core of the analysis [11] for three dimensional Maxwell equations with absorptions not necessarily piecewise constant. The split problem is well posed, has no loss of derivatives (for divergence free data in the case of Maxwell), and is perfectly matched.

DOI: 10.5802/slsedp.38
Laurence Halpern 1; Jeffrey Rauch 2

1 LAGA, UMR 7539 CNRS Université Paris 13 93430 Villetaneuse France
2 Department of Mathematics University of Michigan Ann Arbor 48109 MI USA 
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Laurence Halpern; Jeffrey Rauch. Bérenger/Maxwell with Discontinous Absorptions : Existence, Perfection, and No Loss. Séminaire Laurent Schwartz — EDP et applications (2012-2013), Talk no. 10, 20 p. doi : 10.5802/slsedp.38. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.38/

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