✦ LIBER ✦

Multi-level meshless methods based on direct multi-elliptic interpolation

✍ Scribed by C. Gáspár

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 662 KB
Volume: 226
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.08.005

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✦ Synopsis

A short overview on the direct multi-elliptic interpolation and the related meshless methods for solving partial differential equations is given. A new technique is proposed which produces a biharmonic interpolation along the boundary and solves the original problem inside the domain. An error estimation is also derived. To implement the method, quadtree-based multi-level methods are used. The approach avoids the use of large, dense and ill-conditioned matrices and significantly reduces the computational cost.

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