MIC(0) Preconditioning of Rotated Trilinear FEM Elliptic Systems

Authors:
Ivan Georgiev;Svetozar Margenov
Affiliations:
-;-
Venue:
LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Year:
2001

Citing 1
Cited 2

Iterative solution methods

Iterative solution methods

Multilevel Preconditioning of Rotated Trilinear Non-conforming Finite Element Problems

Large-Scale Scientific Computing
Locally optimized MIC( 0) preconditioning of Rannacher--Turek FEM systems

Applied Numerical Mathematics

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Abstract

New results on preconditioning of rotated multilinear nonconforming FEM elliptic systems in the case of mesh anisotropy are presented. The stiffness matrix is first approximated by a proper auxiliary M-matrix, and then modified incomplete factorization MIC(0) with perturbation is applied. The derived condition number estimates and the presented numerical tests illustrate well the dependency of the PCG iterations on the anisotropy ratio.