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

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摘要

We present in this paper the Dirichlet to Neumann operator for the wave equation on a straight wedge in R2, using Fourier integral operators. As a consequence, we recover the classical approximate boundary conditions of orders 1 and 2.

论文关键词：35A22,35L20,Absorbing boundary,Wave equation,Wedge

论文评审过程：Received 14 October 2005, Revised 25 January 2006, Available online 9 August 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.03.031