Domain decomposition method for parabolic problems with Neumann conditions

Many explicit/implicit and the modified implicit prediction (MIP) domain decomposition methods are used to solve parabolic partial differential equations with Dirichlet boundary conditions. The MIP algorithm is very effective on Dirichlet problems. In this paper we investigate the MIP algorithm on t...

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Bibliographic Details
Published in:Applied mathematics and computation 2006-11, Vol.182 (2), p.1683-1695
Main Authors: Jun, Younbae, Mai, Tsun-Zee
Format: Article
Language:English
Subjects:
Domain decomposition method
Exact sciences and technology
Mathematical analysis
Mathematics
Neumann condition
Numerical analysis
Numerical analysis. Scientific computation
Parabolic problem
Partial differential equations
Partial differential equations, boundary value problems
Sciences and techniques of general use
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Summary:Many explicit/implicit and the modified implicit prediction (MIP) domain decomposition methods are used to solve parabolic partial differential equations with Dirichlet boundary conditions. The MIP algorithm is very effective on Dirichlet problems. In this paper we investigate the MIP algorithm on the parabolic equations with Neumann boundary conditions. The numerical experiments show that the MIP algorithm is unconditionally stable. Moreover it is proven that the speedup is linear when the MIP algorithm is applied to the Neumann boundary conditions.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.06.008