Substructuring Preconditioner for Parabolic Problems by the Mortar Method

Substructuring Preconditioner for Parabolic Problems by the Mortar Method

Year:    2008

Author:    Micol Pennacchio

International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 4 : pp. 527–542

Abstract

We study substructuring preconditioners for the linear system arising from the discretization of parabolic problems when the mortar method is applied. By using a suitable non standard norm equivalence we build an efficient edge block preconditioner and we prove a polylogarithmic bound for the condition number of the preconditioned matrix.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-IJNAM-825

International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 4 : pp. 527–542

Published online:    2008-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    domain decomposition iterative substructuring mortar methods parabolic equation.

Author Details

Micol Pennacchio