An Optimal Error Estimate for an H-P Clouds Galerkin Method

Jun Hu (), Yunqing Huang () and Weimin Xue ()
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Jun Hu: Xiangtan University, Department of Mathematics
Yunqing Huang: Xiangtan University, Department of Mathematics
Weimin Xue: Hong Kong Baptist University, Department of Mathematics

A chapter in Recent Progress in Computational and Applied PDES, 2002, pp 217-230 from Springer

Abstract: Abstract In this paper, we investigate the consistency and the approximation properties of h-p clouds methods. For this purpose, a special partition of unity function space in which inverse inequalities can be established is constructed. The optimal error estimate for the h-p clouds Galerkin methods is then established. The convergence rates are measured by the radius of influence domains of weight functions instead of the mesh size as usually used in the finite element analysis.

Keywords: h-p clouds; error estimate; partition of unity; meshless(mesh free) methods; moving least square; reproducing kernel particle (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0113-8_16

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DOI: 10.1007/978-1-4615-0113-8_16

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