TY - JOUR
T1 - A Block Monotone Domain Decomposition Algorithm for a Nonlinear Singularly Perturbed Parabolic Problem
AU - Boglaev , Igor
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 211
EP - 231
PY - 2006
DA - 2006/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/897.html
KW - singularly perturbed parabolic problem, block monotone method, nonoverlapping domain decomposition, monotone Schwarz alternating algorithm.
AB - <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>