Numerische Mathematik

, Volume 58, Issue 1, pp 163–184

Two preconditioners based on the multi-level splitting of finite element spaces

  • Harry Yserentant

DOI: 10.1007/BF01385617

Cite this article as:
Yserentant, H. Numer. Math. (1990) 58: 163. doi:10.1007/BF01385617


The hierarchical basis preconditioner and the recent preconditioner of Bramble, Pasciak and Xu are derived and analyzed within a joint framework. This discussion elucidates the close relationship between both methods. Special care is devoted to highly nonuniform meshes; exclusively local properties like the shape regularity of the finite elements are utilized.

Subject classifications

AMS(MOS)65F1065F3565N2065N30CR: G 1.8

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Harry Yserentant
    • 1
  1. 1.Mathematisches InstitutUniversität TübingenTübingenGermany