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Energy-Corrected Finite Element Methods for Scalar Elliptic Problems

  • Thomas Horger
  • Markus Huber
  • Ulrich Rüde
  • Christia Waluga
  • Barbara Wohlmuth
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 103)

Abstract

In this work, we consider the finite element solution of several scalar elliptic problems with singularities in two dimensions.We outline recent theoretical developments in energy corrected approaches and demonstrate numerically that by local and easy to implement modifications of the discrete operators, optimal convergence orders in weighted Sobolev norms can be recovered.

Keywords

Stress Intensity Factor Multigrid Method Correction Parameter Singular Function Singular Component 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Thomas Horger
    • 1
  • Markus Huber
    • 2
  • Ulrich Rüde
    • 2
  • Christia Waluga
    • 1
  • Barbara Wohlmuth
    • 1
  1. 1.Institute for Numerical MathematicsTechnische Universität MünchenGarching b. MünchenGermany
  2. 2.Universität Erlangen-NürnbergLehrstuhl für Informatik 10ErlangenGermany

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