Preconditioning for heterogeneous problems

Sergey V. Nepomnyaschikh, Eun Jae Park

Research output: Chapter in Book/Report/Conference proceedingChapter


The main focus of this paper is to suggest a domain decomposition method for mixed finite element approximations of elliptic problems with anisotropic coefficients in domains. The theorems on traces of functions from Sobolev spaces play an important role in studying boundary value problems of partial differential equations. These theorems are commonly used for a priori estimates of the stability with respect to boundary conditions, and also play very important role in constructing and studying effective domain decomposition methods. The trace theorem for anisotropic rectangles with anisotropic grids is the main tool in this paper to construct domain decomposition preconditioners.

Original languageEnglish
Title of host publicationDomain Decomposition Methods in Scienceand Engineering
PublisherSpringer Verlag
Number of pages8
ISBN (Print)3540225234, 9783540225232
Publication statusPublished - 2005

Publication series

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

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics


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