Integral equation methods for scattering from an impedance crack

Rainer Kress, Kuo Ming Lee

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

For the scattering problem for time-harmonic waves from an impedance crack in two dimensions, we give a uniqueness and existence analysis via a combined single- and double-layer potential approach in a Hölder space setting leading to a system of integral equations that contains a hypersingular operator. For its numerical solution we describe a fully discrete collocation method based on trigonometric interpolation and interpolatory quadrature rules including a convergence analysis and numerical examples.

Original languageEnglish
Pages (from-to)161-177
Number of pages17
JournalJournal of Computational and Applied Mathematics
Volume161
Issue number1
DOIs
Publication statusPublished - 2003 Dec 1

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Integral equation methods for scattering from an impedance crack'. Together they form a unique fingerprint.

Cite this