Numerical solution of a two-dimensional hyperbolic transmission problem
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摘要
An initial boundary value problem for a two-dimensional hyperbolic equation in two disjoint rectangles is investigated. The existence and uniqueness and a priori estimates for weak solutions in appropriate Sobolev-like spaces are proved. Few finite difference schemes approximating this problem are proposed and analyzed.
论文关键词：65M15,Transmission problem,Initial-boundary value problem,Disjoint domains,Sobolev spaces,Finite differences,Convergence rate
论文评审过程：Received 30 October 2009, Revised 9 April 2010, Available online 4 June 2010.
论文官网地址：https://doi.org/10.1016/j.cam.2010.05.045
