Dirichlet to Neumann map for domains with corners and approximate boundary conditions

Authors:
Laurence Halpern;Olivier Lafitte
Affiliations:
LAGA, Institut Galilée, Université Paris XIII, 93430 Villetaneuse, France;LAGA, Institut Galilée, Université Paris XIII, 93430 Villetaneuse, France and EADS-CCR 92152 Suresnes Cedex, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

We present in this paper the Dirichlet to Neumann operator for the wave equation on a straight wedge in R^2, using Fourier integral operators. As a consequence, we recover the classical approximate boundary conditions of orders 1 and 2.