TY - JOUR
T1 - Numerical Solution of a Two-Dimensional Parabolic Transmission Problem
AU - Jovanovic , B. S.
AU - Volkov , L. G.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 156
EP - 172
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/714.html
KW - Transmission problem, initial-boundary value problem, disconnected domains, Sobolev spaces, finite differences, convergence rate.
AB - <p style="text-align: justify;">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.</p>