A shape identification problem in estimating simultaneously two interfacial configurations in a multiple region domain

Cheng Hung Huang; Chen Chung Shih

doi:10.1016/j.applthermaleng.2005.04.019

A shape identification problem in estimating simultaneously two interfacial configurations in a multiple region domain

Cheng Hung Huang, Chen Chung Shih

Department of Systems and Naval Mechatronic Engineering

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

A two-dimensional shape identification problem, i.e. inverse geometry problem, of estimating simultaneously two interfacial configurations in a multiple (three) region domain is solved in this study by using the Conjugate Gradient Method (CGM) and Boundary Element Method (BEM)-based inverse algorithm. Two over-utilized conditions should be applied in determining two gradient equations; this differs from our previous relevant studies. Numerical experiments using different measurement errors and number of sensors were performed to justify the validity of the conjugate gradient method in solving this shape identification problem. Finally it is concluded that the present algorithm can estimate the accurate interfacial configurations.

Original language	English
Pages (from-to)	77-88
Number of pages	12
Journal	Applied Thermal Engineering
Volume	26
Issue number	1
DOIs	https://doi.org/10.1016/j.applthermaleng.2005.04.019
Publication status	Published - 2006 Jan

All Science Journal Classification (ASJC) codes

Energy Engineering and Power Technology
Industrial and Manufacturing Engineering

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10.1016/j.applthermaleng.2005.04.019

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abstract = "A two-dimensional shape identification problem, i.e. inverse geometry problem, of estimating simultaneously two interfacial configurations in a multiple (three) region domain is solved in this study by using the Conjugate Gradient Method (CGM) and Boundary Element Method (BEM)-based inverse algorithm. Two over-utilized conditions should be applied in determining two gradient equations; this differs from our previous relevant studies. Numerical experiments using different measurement errors and number of sensors were performed to justify the validity of the conjugate gradient method in solving this shape identification problem. Finally it is concluded that the present algorithm can estimate the accurate interfacial configurations.",

author = "Huang, {Cheng Hung} and Shih, {Chen Chung}",

note = "Funding Information: This work was supported in part through the National Science Council, ROC, Grant number, NSC-93-2611-E-006-015. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

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AB - A two-dimensional shape identification problem, i.e. inverse geometry problem, of estimating simultaneously two interfacial configurations in a multiple (three) region domain is solved in this study by using the Conjugate Gradient Method (CGM) and Boundary Element Method (BEM)-based inverse algorithm. Two over-utilized conditions should be applied in determining two gradient equations; this differs from our previous relevant studies. Numerical experiments using different measurement errors and number of sensors were performed to justify the validity of the conjugate gradient method in solving this shape identification problem. Finally it is concluded that the present algorithm can estimate the accurate interfacial configurations.

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A shape identification problem in estimating simultaneously two interfacial configurations in a multiple region domain

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