Auxiliary space preconditioners for mixed finite element methods

Ray S. Tuminaro, Jinchao Xu, Yunrong Zhu

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

9 Scopus citations


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. © 2009 Springer-Verlag Berlin Heidelberg.
Original languageEnglish (US)
Title of host publicationLecture Notes in Computational Science and Engineering
Number of pages11
StatePublished - Oct 12 2009
Externally publishedYes

ASJC Scopus subject areas

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


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