The use of geometric meshes in product integration Simpson's rules

[摘要] This paper concerns with the use of geometric meshes in product integration Simpson's rules for the numerical evaluation of weakly singular weighted integrals. We provide a criterion for selecting the mesh in order to achieve a desired accuracy with a low amount of computation. Numerical experiments indicate a reduction in computational costs with respect to the same rules with uniform meshes. (C) 2006 Elsevier B.V. All rights reserved.

[发布日期] 2007-12-31

[效力级别]  Proceedings Paper

[关键词] weakly singular integral;product integration;geometric mesh