Simple Preconditioner for a Thin Membrane Diffusion Problem

  • Piotr KrzyżanowskiEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 12044)


A diffusion through a thin membrane problem discussed in [13] is discretized with a variant of the composite h-p discontinuous Galerkin method. A preconditioner based on the additive Schwarz method is introduced, and its convergence properties are investigated in numerical experiments.


Preconditioner Thin membrane Additive Schwarz method Discontinuous Galerkin 



The author would like to thank two anonymous referees whose comments and remarks helped to improve the paper. This research has been partially supported by the Polish National Science Centre grant 2016/21/B/ST1/00350.


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Authors and Affiliations

  1. 1.University of WarsawWarsawPoland

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