A Block Monotone Domain Decomposition Algorithm for a Nonlinear Singularly Perturbed Parabolic Problem
Year: 2006
Author: Igor Boglaev
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 2 : pp. 211–231
Abstract
This paper deals with discrete monotone iterative algorithms for solving a nonlinear singularly perturbed parabolic problem. A block monotone domain decomposition algorithm based on a Schwarz alternating method and on a block iterative scheme is constructed. This monotone algorithm solves only linear discrete systems at each time level and converges monotonically to the exact solution of the nonlinear problem. The rate of convergence of the block monotone domain decomposition algorithm is estimated. Numerical experiments are presented.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-IJNAM-897
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 2 : pp. 211–231
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: singularly perturbed parabolic problem block monotone method nonoverlapping domain decomposition monotone Schwarz alternating algorithm.