Year: 2010
Author: B. S. Jovanovic, L. G. Volkov
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 1 : pp. 156–172
Abstract
An initial boundary value problem for a two-dimensional parabolic equation in two disconnected rectangles is investigated. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate, compatible with the smoothness of the input data (up to a logarithmic factor of the mesh-size), is obtained.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-714
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 1 : pp. 156–172
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Transmission problem initial-boundary value problem disconnected domains Sobolev spaces finite differences convergence rate.