Additive Schwarz algorithms for parabolic convection-diffusion equations (1991)
| Venue: | Numer. Math |
| Citations: | 36 - 4 self |
BibTeX
@ARTICLE{Cai91additiveschwarz,
author = {Xiao-chuan Cai},
title = {Additive Schwarz algorithms for parabolic convection-diffusion equations},
journal = {Numer. Math},
year = {1991},
volume = {60},
pages = {41--61}
}
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Abstract
In this paper, we consider the solution of linear systems of algebraic equations that arise from parabolic finite element problems. We introduce three additive Schwarz type domain decomposition methods for general, not necessarily selfadjoint, linear, second order, parabolic partial differential equations and also study the convergence rates of these algorithms. The resulting preconditioned linear system of equations is solved by the generalized minimal residual method. Numerical results are also reported. Key words Schwarz’s alternating method, domain decomposition, parabolic convection-diffusion equation, finite elements. AMS(MOS) subject classifications. 65N30, 65F10 1
