On the eigenvalue distribution of a class of preconditioning methods
Numerische Mathematik
Fourier analysis of relaxed incomplete factorization preconditioners
SIAM Journal on Scientific and Statistical Computing
SIAM Journal on Scientific and Statistical Computing
SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
A framework for block ILU factorizations using block-size reduction
Mathematics of Computation
Iterative solution methods
On Eigenvalue Estimates for Block Incomplete Factorization Methods
SIAM Journal on Matrix Analysis and Applications
Computing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Numerische Mathematik
Modified tangential frequency filtering decomposition and its fourier analysis
Numerische Mathematik
Hi-index | 7.29 |
In this paper we study a class of preconditioners that satisfy the so-called left and/or right filtering conditions. For practical applications, we use a multiplicative combination of filtering based preconditioners with the classical ILU(0) preconditioner, which is known to be efficient. Although the left filtering condition has a more sound theoretical motivation than the right one, extensive tests on convection-diffusion equations with heterogeneous and anisotropic diffusion tensors reveal that satisfying left or right filtering conditions lead to comparable results. On the filtering vector, these numerical tests reveal that e=[1,...,1]^T is a reasonable choice, which is effective and can avoid the preprocessing needed in other methods to build the filtering vector. Numerical tests show that the composite preconditioners are rather robust and efficient for these problems with strongly varying coefficients.