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Adaptive Coarse Spaces for BDDC with a Transformation of Basis

  • Axel KlawonnEmail author
  • Patrick Radtke
  • Oliver Rheinbach
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 104)

Abstract

We describe a BDDC algorithm, see e.g., [1], and an adaptive coarse space enforced by a transformation of basis for the iterative solution of scalar diffusion problems with a discontinuous diffusion coefficient. The coefficient varies over several orders of magnitude both inside of the subdomains and along the interface. A related algorithm for FETI-DP with a balancing preconditioner has been already described in [6, 7]. Other adaptive coarse space constructions for FETI, FETI-DP, and BDDC methods have been proposed in [8, 10]. We also present some preliminary numerical results for different scalings, including the recent deluxe scaling; cf., [2].

Keywords

Eigenvalue Problem Linear Finite Element Coarse Space Preliminary Numerical Result Nodal Finite Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Axel Klawonn
    • 1
    Email author
  • Patrick Radtke
    • 1
  • Oliver Rheinbach
    • 2
  1. 1.Mathematisches InstitutUniversität zu KölnKölnGermany
  2. 2.Fakultät für Mathematik und InformatusInstitut für Numerische Mathematik und Optimierung, Technical Universität Bergakademie FreibergFreibergGermany

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