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Construction and Convergence of Difference Schemes for a Modell Elliptic Equation with Dirac-delta Function Coefficient

  • B. S. Jovanović
  • J. D. Kandilarov
  • L. G. Vulkov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1988)

Abstract

We first discuss the difficulties that arise at the construction of difference schemes on uniform meshes for a specific elliptic interface problem. Estimates for the rate of convergence in discrete energetic Sobolev’s norms compatible with the smoothness of the solution are also presented.

Keywords

Truncation Error Localize Chemical Reaction Uniform Mesh Interface Problem Immerse Boundary Method 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • B. S. Jovanović
    • 1
  • J. D. Kandilarov
    • 2
  • L. G. Vulkov
    • 2
  1. 1.Faculty of MathematicsUniversity of BelgradeBelgradeYugoslavia
  2. 2.Department of Applied Mathematics and InformaticsUniversity of RousseRousseBulgaria

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