Accession Number:

ADA023693

Title:

Numerical Solution of Two-Dimensional Integral Equations using Linear Elements.

Descriptive Note:

Technical rept. 1973-1976,

Corporate Author:

WASHINGTON STATE UNIV PULLMAN

Personal Author(s):

Report Date:

1976-02-06

Pagination or Media Count:

33.0

Abstract:

A general procedure is presented for numerically solving linear Fredholm integral equations of the first kind in two integration variables. The approximate solution is expressed as piecewise bilinear or linear functions on rectangles or triangles, respectively. The method involves collocation followed by the solution of an appropriately scaled stabilized matrix least squares problem. The stabilizing procedure consists of appending additional equations to the system that resulted from collocation. These additional equations arise from considering an appropriately weighted seminorm on the unknown solution. These numerical examples are given. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE