Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637350 | Applied Mathematics and Computation | 2006 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.R. Mokhtarzadeh, R. Mokhtary, N.G. Chegini,