Parallel finite element splitting-up method for parabolic problems
Abstract
An efficient method for solving parabolic systems is presented. The proposed method is based on the splitting‐up principle in which the problem is reduced to a series of independent 1D problems. This enables it to be used with parallel processors. We can solve multidimensional problems by applying only the 1D method and consequently avoid the difficulties in constructing a finite element space for multidimensional problems. The method is suitable for general domains as well as rectangular domains. Every 1D subproblem is solved by applying cubic B‐splines. Several numerical examples are presented.
Main Authors
Format
Articles
Journal article
Published
1991
Series
Publisher
Wiley
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201903191904Use this for linking
Review status
Peer reviewed
ISSN
0749-159X
DOI
https://doi.org/10.1002/num.1690070302
Language
English
Published in
Numerical Methods for Partial Differential Equations
Citation
- Tai, X.-C., Neittaanmäki, P. (1991). Parallel finite element splitting-up method for parabolic problems. Numerical Methods for Partial Differential Equations, 7 (3), 209-225. doi:10.1002/num.1690070302
License
The record contains restricted files.
The material is available for reading at the archive workstation of the University of Jyväskylä Library.
The material is available for reading at the archive workstation of the University of Jyväskylä Library.
Copyright© Wiley