Robust Preconditioners for Equations with Jumping Anisotropic Coefficients

  • Boris N. Khoromskij
  • Gabriel Wittum
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 36)


The elliptic equations with strongly jumping anisotropic diffusion coefficients as well as equations defined in domains involving thin substructures face a wide range of applications in the problems of structural mechanics, porous media, magnetostatics and biology. Unstable convergence of the traditional iterative schemes appears to be a bottleneck in efficient numerical treatment of large scale computational problems with degeneration in coefficients and geometries.


Bilinear Form Coarse Mesh Nest Iteration Anisotropy Coefficient Bubble Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Boris N. Khoromskij
    • 1
  • Gabriel Wittum
    • 2
  1. 1.Max-Planck-Institut für Mathematik in den NaturwissenschaftenLeipzigGermany
  2. 2.Interdisziplinäres Zentrum für Wissenschaftliches Rechnen (IWR)Universität HeidelbergHeidelbergGermany

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