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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41405

Title: Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation method
Authors: Chung-Lun Kuo;Weichung Yeih;Chein-Shan Liu;Jiang-Ren Chang
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Keywords: Helmholtz equation;High wave number;Inverse Cauchy problem;Trefftz collocation method;Equilibrated matrix
Date: 2015-12
Issue Date: 2017-02-15T05:51:30Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: Abstract:In this article, the solutions for the Helmholtz equation for forward problems with high wave number and ill-posed inverse problems using the multiple scales Trefftz collocation method are investigated. The resulting linear algebraic systems for these problems are ill-posed and therefore require special treatments. The equilibrated matrix concept is adopted to determine the scales and to construct an equivalent linear algebraic problem with a leading matrix less ill-posed such that standard solver like the conjugate gradient method (CGM) can be adopted. Five examples, including two forward problems with the high wave number and three inverse Cauchy problems, are given to show the validity for the approach. Results show that the equilibrated matrix concept can yield a less ill-posed leading matrix such that the conventional linear algebraic solver like CGM can be successfully adopted. This approach has a very good noise resistance.
Relation: 61,pp.145-152
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41405
Appears in Collections:[系統工程暨造船學系] 期刊論文

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