Contour-integral representation of single and double layer potentials for axisymmetric problems

E.G. Bazhlekova, I.B. Bajlekov

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)

Abstract

Based on recently proposed non-singular contour-integral representations of single and double layer potentials for 3D surfaces, formulas in the axisymmetric case are derived. They express explicitly the singular layer potentials in terms of elliptic integrals. The presented expressions are non-singular, satisfy exactly very important conservation principles and directly take into account the multivaluedness of the double layer potential. The results are compared with another method for calculating the single and double layer potentials. The comparison demonstrates a higher accuracy and better performance of the presented formulas.
Original languageEnglish
Title of host publicationNMA : numerical methods and applications : 5th international conference, Borovets, Bulgaria, August 20-24, 2002 : revised papers
EditorsI.T. Dimov, I. Lirkov, S.D. Margenov
Place of PublicationBerlin
PublisherSpringer
Pages387-394
ISBN (Print)3-540-00608-7
Publication statusPublished - 2003

Publication series

NameLecture Notes in Computer Science
Volume2542
ISSN (Print)0302-9743

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