Title: Bi-CG: An effective solver for three fields domain decomposition method in parallel environments
Abstract: After applying substructuring preconditioner for the linear system stemming from the three fields domain decomposition method for elliptic boundary value problems, the preconditioned system will be nonsymmetric and Bi-Conjugate Gradient (Bi-CG) method can be applied. In this paper, we will show that in parallel environments the Bi-CG method works as Preconditioned Conjugate Gradient (PCG) method which applied in Bertoluzza [Substructuring preconditioners for the three fields domain decomposition method, Math. Comp. 73(246) (2003) 659–689] and in this case extensive numerical tests, performed on both conforming and nonconforming formulation, show that Bi-CG can work faster than PCG.
Publication Year: 2006
Publication Date: 2006-03-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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