@Article{IJNAM-3-2,
author = {Igor, Boglaev},
title = {A Block Monotone Domain Decomposition Algorithm for a Nonlinear Singularly Perturbed Parabolic Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2006},
volume = {3},
number = {2},
pages = {211--231},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2617-8710},
doi = {https://doi.org/2006-IJNAM-897},
url = {https://global-sci.com/article/83822/a-block-monotone-domain-decomposition-algorithm-for-a-nonlinear-singularly-perturbed-parabolic-problem}
}