Citation
My. Kim et al., Mixed finite element domain decomposition for nonlinear parabolic problems, COMPUT MATH, 40(8-9), 2000, pp. 1061-1070
Citations number
21
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221
→ ACNP
Volume
40
Issue
8-9
Year of publication
2000
Pages
1061 - 1070
Database
ISI
SICI code
0898-1221(200010/11)40:8-9<1061:MFEDDF>2.0.ZU;2-U
Abstract
Fully discrete mixed finite element method is considered to approximate the
solution of a nonlinear second-order parabolic problem. A massively parall
el iterative procedure based on domain decomposition technique is presented
to solve resulting nonlinear algebraic equations. Robin type boundary cond
itions are used to transmit information between subdomains. The convergence
of the iteration for each time step is demonstrated. Optimal-order error e
stimates are also derived. Numerical examples are given. (C) 2000 Elsevier
Science Ltd. All rights reserved.