Meshless cubature over the disk using thin-plate splines

[摘要] In some recent papers, the construction of meshless interpolatory cubature formulas using radial basis functions has been studied. In particular, thin-plate splines allow us to conveniently use Green's formula and give good results on scattered samples of small/moderate size over polygons. Here, we discuss the extension to meshless cubature over the disk and its practical implementation. (C) 2007 Elsevier B.V. All rights reserved.

[发布日期] 2008-11-15

[效力级别]  Proceedings Paper

[关键词] Meshless cubature;Disk;Scattered data;Thin-plate splines;Green's formula