TY - JOUR
T1 - Convergence Rate of a Generalized Additive Schwarz Algorithm
JO - Journal of Computational Mathematics
VL - 5
SP - 635
EP - 646
PY - 2006
DA - 2006/10
SN - 24
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8779.html
KW - Schwarz additive algorithm, Convergence rate, Dirichlet problem.
AB - <p style="text-align: justify;">The convergence rate of a generalized additive Schwarz algorithm for solving boundary value problems of elliptic partial differential equations is studied. A quantitative analysis of the convergence rate is given for the model Dirichlet problem. It will be shown that a greater acceleration of the algorithm can be obtained by choosing the parameter suitably. Some numerical tests are also presented in this paper.</p>