Semi-group stability of finite difference schemes in corner domainsReport as inadecuate

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1 ULB - Département de Mathématique Bruxelles 2 MEPHYSTO - Quantitative methods for stochastic models in physics LPP - Laboratoire Paul Painlevé, ULB - Université Libre de Bruxelles Bruxelles, Inria Lille - Nord Europe

Abstract : In this article we are interested in the semi-group stability for finite difference discretizations of hyperbolic systems of equations in corner domains. We give generalizations of the results of CG11 and Cou15 from the half space geometry to the quarter space geometry. The most interesting fact is that the proofs of CG11 and Cou15 can be adaptated with minor changes to apply in the quarter space geometry. This is due to the fact that both methods in CG11 and Cou15 are based on energy methods and the construction of auxiliary problems with strictly dissipative boundary conditions which are known to be suitable for the strong well-posed for initial boundary value problems in the quarter space.

Author: Antoine Benoit -



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