Numerical Solution Of Obstacle Problems By
 Overlapping Block Relaxation Methods

P. Tarvainen

doi:10.2495/CON950331

Numerical Solution Of Obstacle Problems By Overlapping Block Relaxation Methods

Price

Free (open access)

Transaction

WIT Transactions on Engineering Sciences

Volume

Pages

Published

1995

Size

748 kb

Paper DOI

10.2495/CON950331

WIT Press

Author(s)

P. Tarvainen

Abstract

Overlapping block relaxation methods are applied to the iterative solution of algebraic obstacle problems with M-matrices. Such problems arise, eg., from finite element approximation of obstacle problems with diffusion or convection-diffusion operators. We propose and analyze various algorithms with the emphasis on their monotonicity properties: the methods are mono- tonically convergent in the subset of supersolutions, and their asymptotic convergence rates can be evaluated in this particular subset. We also discuss the multilevel approach within the block relaxation methods; this approach makes possible to choose individual subproblem solvers for the methods. Numerical experiments are included to illustrate the theoretical results. 1

Keywords

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Code

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