The scalability of the matrices in direct Trefftz method in 2D Laplace problem
Numerical Analysis
2015-11-19 v1 Numerical Analysis
Abstract
This paper presents an interesting property of the matrices that may be obtained with the use of direct Trefftz method. It is proved analytically for 2D Laplace problem that values of the elements of matrices describing the capacitance of two scaled domains are inversely proportional to the scalability factor. As an example of the application the capacitance extraction problem is chosen. Concise description of the algorithm in which the scalability property can be utilized is given. Furthermore some numerical results of the algorithm are presented.
Keywords
Cite
@article{arxiv.1511.03925,
title = {The scalability of the matrices in direct Trefftz method in 2D Laplace problem},
author = {M. Borkowski},
journal= {arXiv preprint arXiv:1511.03925},
year = {2015}
}