Numerical solution of a two-dimensional hyperbolic transmission problem

Authors:
Boško S. Jovanović;Lubin G. Vulkov
Affiliations:
University of Belgrade, Faculty of Mathematics, 11000 Belgrade, Serbia;University of Rousse, Department of Applied Mathematics and Informatics, Rousse 7017, Bulgaria
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

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.