An algorithm of the method of difference potentials for domains with cuts

V. S. Ryaben'Kii, S. V. Utyuzhnikov

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The method of Difference Potentials (DPM) is applied to solving a Dirichlet problem for the Laplace equation in a square with a cut. The DPM approach has been modified to achieve a more efficient numerical algorithm with respect to computational time. The considered problem can be a prototype for other problems formulated in domains with cuts including elastic problems related to cracks.

Original languageEnglish
Pages (from-to)254-261
Number of pages8
JournalApplied Numerical Mathematics
Volume93
DOIs
Publication statusPublished - Jul 2015
Externally publishedYes

Keywords

  • Crack
  • Cut
  • Difference potential
  • DPM
  • Method of difference potentials

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