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- Publisher
- Emerald Publishing
- Copyright
- Copyright © Emerald Group Publishing Limited
- ISSN
- 0961-5539
- DOI
- 10.1108/HFF-10-2018-0552
- Publisher site
- See Article on Publisher Site
Abstract
PurposeThe purpose of this paper is to propose a local parallel finite element algorithm based on fully overlapping domain decomposition technique to solve the incompressible magnetohydrodynamic equations.Design/methodology/approachThe algorithm uses a lower-order element pair to compute an initial approximation by the Oseen-type iteration and uses a higher-order element pair to solve a linear system in each processor.FindingsBesides, the convergence analysis of local parallel finite element algorithm is given. Finally, numerical experiments are presented to verify the efficiency of the proposed algorithm.Originality/valueCompared with the numerical solution of the common two-step method, this method is easy to realize and can produce a more accurate solution. And, this approach is executed in parallel, so it saves a lot of computational time.
Journal
International Journal of Numerical Methods for Heat and Fluid Flow – Emerald Publishing
Published: Aug 5, 2019