Auxiliary space preconditioners for mixed finite element methods

Ray S. Tuminaro, Jinchao Xu, Yunrong Zhu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations

Abstract

This paper is devoted to study of an auxiliary spaces preconditioner for H(div) systems and its application in the mixed formulation of second order elliptic equations. Extensive numerical results show the efficiency and robustness of the algorithms, even in the presence of large coefficient variations. For the mixed formulation of elliptic equations, we use the augmented Lagrange technique to convert the solution of the saddle point problem into the solution of a nearly singular H(div) system. Numerical experiments also justify the robustness and efficiency of this scheme.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XVIII
Pages99-109
Number of pages11
DOIs
StatePublished - Oct 12 2009
Event18th International Conference of Domain Decomposition Methods - Jerusalem, Israel
Duration: Jan 12 2008Jan 17 2008

Publication series

NameLecture Notes in Computational Science and Engineering
Volume70 LNCSE
ISSN (Print)1439-7358

Other

Other18th International Conference of Domain Decomposition Methods
CountryIsrael
CityJerusalem
Period1/12/081/17/08

All Science Journal Classification (ASJC) codes

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

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  • Cite this

    Tuminaro, R. S., Xu, J., & Zhu, Y. (2009). Auxiliary space preconditioners for mixed finite element methods. In Domain Decomposition Methods in Science and Engineering XVIII (pp. 99-109). (Lecture Notes in Computational Science and Engineering; Vol. 70 LNCSE). https://doi.org/10.1007/978-3-642-02677-5_9