Accession Number:

ADA555117

Title:

Universal Quadratures for Boundary Integral Equations on Two-Dimensional Domains with Corners

Descriptive Note:

Technical rept.

Corporate Author:

YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

2009-11-24

Pagination or Media Count:

21.0

Abstract:

We describe the construction of a collection of quadrature formulae suitable for the efficient discretization of certain boundary integral equations on a very general class of two-dimensional domains with corner points. The resulting quadrature rules allow for the rapid high accuracy solution of Laplaces equation and the Helmholtz equation on such domains. Our approach can be adapted to many other boundary value problems as well as to the case of surfaces with singularities in three dimensions. The performance of the quadrature rules is illustrated with several numerical examples.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE