Published July 29, 2005 | Version v1
Journal article Metadata-only

On the boundary element method for billiards with corners

Creators

  • 1. Department of Physics, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo 192-0397 (Japan)
  • 2. Department of Applied Physics, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555 (Japan)
  • 3. Department of Nonlinear Science, ATR Wave Engineering Laboratories, 2-2 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-02 (Japan)

Description

The boundary element method is one of the reliable numerical schemes to solve the eigenvalue problem of the Helmholtz equation, which is justified by the Fredholm theory for domains with a smooth boundary. When a domain has corners, however, the corresponding integral equation is singular, so that the boundary element method lacks its well-established base. Employing a cutoff technique, we here formulate a well-grounded version of the boundary element method, and also give a certain justification to the standard boundary element method even for domains with corners

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/38/6675/a5_30_004.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/0305-4470/38/6675/a5_30_004.pdf; http://www.iop.org/;
DOI
10.1088/0305-4470/38/30/004;
PII
S0305-4470(05)97413-1;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
38
Journal Issue
30
Journal Page Range
p. 6675-6688
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36095668
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUNDARY ELEMENT METHOD; EIGENVALUES; FREDHOLM EQUATION; HELMHOLTZ THEOREM; MATHEMATICAL LOGIC
Descriptors DEC
CALCULATION METHODS; EQUATIONS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION