Microlocal methods in the analysis of the boundary element method

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Abstract

The application of the boundary element method in numerical analysis is based upon the use of boundary integral operators stemming from multiple layer potentials. The regularity properties of these operators are vital in the development of boundary integral equations and error estimates. We show how it is possible to determine the regularity of various potentials by treating them as as pseudodifferential operators over the boundary, and determine thereby the regularity properties of these operators. This is part of a joint work with G.Chen, G.Hsiao and J.Zhou.
Original languageEnglish
Title of host publicationAnalysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems
PublisherSpringer
Publication date1993
Pages467-475
ISBN (Print)978-3-540-56155-2
DOIs
Publication statusPublished - 1993
EventAnalysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems - Sophia-Antipolis, France
Duration: 9 Jun 199212 Jun 1992

Conference

ConferenceAnalysis and Optimization of Systems
CountryFrance
CitySophia-Antipolis
Period09/06/199212/06/1992
SeriesLecture Notes in Control and Information Sciences
Volume185
ISSN0170-8643

Keywords

  • Multiple Boundary Layers
  • Pseudodifferential Operators

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