Non-element method of solving 2D boundary problems defined on polygonal domains modeled by Navier equation

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:43

Article

Zieniuk, Eugeniusz ; Boltuc, Agnieszka

关键词: elasticity;    Navier equation;    boundary integral equation;    boundary element method (BEM);    parametric integral equation system (PIES);   

DOI  :  10.1016/j.ijsolstr.2006.04.008

来源: Elsevier

【 摘 要 】

The paper presents a non-element method of solving boundary problems defined on polygonal domains modeled by corner points. To solve these problems a parametric integral equation system (PIES) is used. The system is characterized by a separation of the approximation of boundary geometry from the approximation of boundary functions. This feature makes it possible to effectively investigate the convergence of the obtained solutions with no need of performing the approximation of boundary geometry. The testing examples included confirm high accuracy of the solutions. (c) 2006 Elsevier Ltd. All rights reserved.

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