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A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks
Saddle Point Linear Systems Block Triangular Preconditioner Krylov Subspace Methods
2013/1/30
In this paper, we provide new preconditioner for saddle point linear systems with (1,1) blocks that have a high nullity. The preconditioner is block triangular diagonal with two variable relaxation pa...
Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients
Multigrid Preconditioner Elliptic Problems Jump Coefficients Numerical Analysis
2011/9/1
Abstract: In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic pr...
A SHIFT-SPLITTING PRECONDITIONER FOR NON-HERMITIAN POSITIVE DEFINITE MATRICES
Non-Hermitian positive definite matrix Matrix splitting Preconditioning Krylov subspace method Convergence
2007/12/12
A shift splitting concept is introduced and, correspondingly,
a shift-splitting iteration scheme and a shift-splitting
preconditioner are presented,
for solving the large sparse system of linear eq...
A method for construction of a preconditioner for the capacitance matrix on the interface is described. The preconditioner is determined by a subdomain covering the interface, and the condition number...
TOWARDS A COST-EFFECTIVE ILU PRECONDITIONER WITH HIGHER LEVEL FILLS
minimum discarded ll(MDF) incomplete MDF threshold MDF minimum up-dating matrix(MUM) incomplete factorization matrix ordering preconditioned conjugate gradient high-order ILU factorization
2007/3/29
A recently proposed Minimum Discarded Fill (MDF) ordering (or pivoting) technique is eective in nding high quality ILU (e) preconditioners, especially for problems arising from unstruc-tured nite elem...