Application of conformal mappings and the numerical analysis of conditioning of the matrices in Trefftz method for some boundary value problems

被引：2
|
作者：
Borkowski, M. [1 ]
Kuras, R. [1 ]
机构：
[1] Rzeszow Univ Technol, Fac Elect & Comp Engn, Rzeszow, Poland
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2019年 / 98卷
关键词：
Trefftz methods; Conformal mapping; 2D potential problem; Ill-conditioning;
D O I：
10.1016/j.enganabound.2018.09.010
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Provided that the boundary value problem can be equivalently solved in conformally transformed domain, one can consider its mapping into unit disk domain. The problem can be solved for the new geometry and the solution can be retransformed back to the original problem domain. The paper presents this approach in order to validate whether it can be applied for improving ill-conditioning of the matrices and solutions obtained in indirect Trefftz methods.
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页码：1 / 7
页数：7
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