Numerical solution of a two-dimensional hyperbolic transmission problem

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Jovanovic, Bosko S.²  Vulkov, Lubin G.¹ 

[1] Univ Rousse, Dept Appl Math & Informat, Rousse 7017, Bulgaria

[2] Univ Belgrade, Fac Math, Belgrade 11000, Serbia

关键词: Transmission problem;    Initial-boundary value problem;    Disjoint domains;    Sobolev spaces;    Finite differences;    Convergence rate;   

DOI  :  10.1016/j.cam.2010.05.045

来源: Elsevier

【 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. (C) 2010 Published by Elsevier B.V.

【 授权许可】

Free