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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52695

Title: A spacetime collocation Trefftz method for solving the inverse heat conduction problem
Authors: Cheng-Yu Ku
Jing-En Xiao
Chih-Yu Liu
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Spacetime
collocation Trefftz method
inverse heat conduction problem
inverse boundary value problem
numerical solutions
Date: 2019-07
Issue Date: 2019-12-20T03:13:08Z
Publisher: Mechanical Engineering
Abstract: Abstract: In this article, a novel spacetime collocation Trefftz method for solving the inverse heat conduction problem is presented. This pioneering work is based on the spacetime collocation Trefftz method; the method operates by collocating the boundary points in the spacetime coordinate system. In the spacetime domain, the initial and boundary conditions are both regarded as boundary conditions on the spacetime domain boundary. We may therefore rewrite an initial value problem (such as a heat conduction problem) as a boundary value problem. Hence, the spacetime collocation Trefftz method is adopted to solve the inverse heat conduction problem by approximating numerical solutions using Trefftz base functions satisfying the governing equation. The validity of the proposed method is established for a number of test problems. We compared the accuracy of the proposed method with that of the Trefftz method based on exponential basis functions. Results demonstrate that the proposed method obtains highly accurate numerical solutions and that the boundary data on the inaccessible boundary can be recovered even if the accessible data are specified at only one-fourth of the overall spacetime boundary.
Relation: 11(7) pp
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52695
Appears in Collections:[河海工程學系] 期刊論文

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