Evaluation of Single Layer Potentials over Curved Surfaces

Authors:
Leandro Farina
Affiliations:
-
Venue:
SIAM Journal on Scientific Computing
Year:
2001

Citing 0
Cited 3

A fast solver for the Stokes equations with distributed forces in complex geometries

Journal of Computational Physics
On the evaluation of layer potentials close to their sources

Journal of Computational Physics
Quadrature by expansion: A new method for the evaluation of layer potentials

Journal of Computational Physics

Quantified Score

Hi-index	0.02

Visualization

Abstract

The evaluation of nearly singular single layer potentials encountered in boundary element methods is treated by a new approach. The potential is expressed as a sum of a one-dimensional integral and a correction term that vanishes for planar surfaces. The small variance of the second term's integrand allows the use of a quasi-Monte Carlo quadrature. Numerical results show that a significant reduction in computational time is obtained over algorithms employing domain subdivisions.