A meshless polyharmonic-type boundary interpolation method for solving boundary integral equations

被引：11

作者：

Gáspár, C ^{[1
]}

机构：

[1] Szechenyi Istvan Univ, Dept Math, H-9007 Gyor, Hungary

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2004年 / 28卷 / 10期

基金：

匈牙利科学研究基金会;

关键词：

meshless methods; scattered data interpolation; biharmonic interpolation; polyharmonic interpolation; quadtree;

D O I：

10.1016/j.enganabound.2003.04.001

中图分类号：

T [工业技术];

学科分类号：

08 [工学];

摘要：

A boundary interpolation technique is introduced based on multi-elliptic partial differential equations. The interpolation problem is converted to a special higher order partial differential equation which is completely independent of the geometry of the original problem. Based on this interpolation method, meshless methods are constructed for the 2D Laplace-Poisson equation. The presented approach makes it possible to avoid solving large and dense interpolation equations. The auxiliary higher order partial differential equation is solved by robust, quadtree-based multi-level methods. The results can be easily generalized to 3D problems as well. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1207 / 1216

页数：10

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