The scalability of the matrices in direct Trefftz method in 2D Laplace problem

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• 作者：M. Borkowski ^{marbor@prz.edu.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Direct Trefftz method ; 2D potential problem ; Scalable stiffness matrix
• 刊名：Engineering Analysis with Boundary Elements
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：64
• 期：Complete
• 页码：12-18
• 全文大小：499 K

文摘

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.