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

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...

Full description

Saved in:

Bibliographic Details
Published in:	Engineering analysis with boundary elements Vol. 98; pp. 1 - 7
Main Authors:	Borkowski, M., Kuras, R.
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01-01-2019
Subjects:	2D potential problem Conformal mapping Ill-conditioning Trefftz methods Ill-conditioning 2D potential problem Conformal mapping Trefftz methods
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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.
ISSN:	0955-7997 1873-197X
DOI:	10.1016/j.enganabound.2018.09.010