Trefftz solution for boundary value problem of three-dimensional Poisson equation

被引：11
|
作者：
Kita, E [1 ]
Ikeda, Y
Kamiya, N
机构：
[1] Nagoya Univ, Dept Complex Syst Sci, Grad Sch Informat Sci, Chikusa Ku, Nagoya, Aichi 4648601, Japan
[2] Daido Inst Technol, Dept Mech Syst Engn, Nagoya, Aichi, Japan
[3] Nagoya Univ, Dept Comp Sci & Math Informat, Grad Sch Informat Sci, Nagoya, Aichi, Japan
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2005年 / 29卷 / 04期
关键词：
Trefftz method; computing point analysis scheme; 3D Poisson equation;
D O I：
10.1016/j.enganabound.2004.06.006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper describes the application of the Trefftz method to the solution of three-dimensional Poisson equation. An inhomogeneous term containing the unknown function is approximated with a polynomial function in the Cartesian coordinates to determine the particular solution for the Poisson equation. The solution of the problem is approximated with the superposition of the Trefftz functions of the Laplace equation and the derived particular solution. Unknown parameters included in the approximate solution are determined so that the solution satisfies the boundary conditions. The present scheme is applied to some examples in order to study the numerical properties. (C) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：383 / 390
页数：8
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