Numerical Solution of Two-Dimensional Integral Equations using Linear Elements.
Technical rept. 1973-1976,
WASHINGTON STATE UNIV PULLMAN
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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
- Statistics and Probability