Domain decomposition based h-matrix preconditioners for the skin problem

Boris N. Khoromskij, Alexander Litvinenko

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


In this paper we propose and analyse a new hierarchical Cholesky (HCholesky) factorization based preconditioner for iterative solving the elliptic equations with highly jumping coefficients arising in the so-called skin-modeling problem in 3D [8]. First, we construct the block-diagonal approximation to the FE stiffness matrix, which is well suited to the -perforated- structure of the coefficients. We apply the H-Cholesky factorization of this block-diagonal matrix as a preconditioner in the PCG iteration. It is shown that the new preconditioner is robust with respect to jumps in the coefficients and it requires less storage and computing time than the standard H-Cholesky factorization.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XVII
Number of pages8
StatePublished - 2008
Externally publishedYes
Event17th International Conference on Domain Decomposition Methods - St. Wolfgang /Strobl, Austria
Duration: Jul 3 2006Jul 7 2006

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358


Other17th International Conference on Domain Decomposition Methods
CitySt. Wolfgang /Strobl

ASJC Scopus subject areas

  • General Engineering
  • Computational Mathematics
  • Control and Optimization
  • Discrete Mathematics and Combinatorics
  • Modeling and Simulation


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