Vectorizable preconditioners for mixed finite element solution of second-order elliptic problems

Abstract

We compare the performance of the CG (conjugate gradient) method, the point-wise incomplete factorization preconditioned CG method, and the block-incomplete factorization preconditioned CG method for solving problems arising in mixed finite element discretization of second order elliptic differential equations. The robustness and vectorizable properties of these methods are illustrated by a large set of numerical tests.

Keywords:

• Incomplete factorization
• mixed finite element elliptic problem
• vectorization
• preconditioned conjugate gradients

Subject Classification: AMS(M0S)::

• 65F10
• 65N20

C.R. CATEGORIES::

• G1.3 G1.8.

On leave from the Center of Computer Science and Technology, Bulgarian Academy of Sciences, “Acad. G. Bontchev” Str, block 25A, 1113 Sofia, Bulgaria.

On leave from the Center of Computer Science and Technology, Bulgarian Academy of Sciences, “Acad. G. Bontchev” Str, block 25A, 1113 Sofia, Bulgaria.

Notes

On leave from the Center of Computer Science and Technology, Bulgarian Academy of Sciences, “Acad. G. Bontchev” Str, block 25A, 1113 Sofia, Bulgaria.