We analyse Bérenger’s split algorithm applied to the system version of the two dimensional wave equation with absorptions equal to Heaviside functions of , . 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.
@article{SLSEDP_2012-2013____A10_0,
author = {Laurence Halpern and Jeffrey Rauch},
title = {B\'erenger/Maxwell with {Discontinous} {Absorptions~:} {Existence,} {Perfection,} and {No} {Loss}},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:10},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2012-2013},
doi = {10.5802/slsedp.38},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.38/}
}
TY - JOUR AU - Laurence Halpern AU - Jeffrey Rauch TI - Bérenger/Maxwell with Discontinous Absorptions : Existence, Perfection, and No Loss JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:10 PY - 2012-2013 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.38/ DO - 10.5802/slsedp.38 LA - en ID - SLSEDP_2012-2013____A10_0 ER -
%0 Journal Article %A Laurence Halpern %A Jeffrey Rauch %T Bérenger/Maxwell with Discontinous Absorptions : Existence, Perfection, and No Loss %J Séminaire Laurent Schwartz — EDP et applications %Z talk:10 %D 2012-2013 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.38/ %R 10.5802/slsedp.38 %G en %F SLSEDP_2012-2013____A10_0
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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