SOLUTION TO TWO TYPES OF INVERSE HEAT CONDUCTION PROBLEMS BY BOUNDARY ELEMENTS METHOD

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HEMATIAN M.R.; KARAMI GH.A.

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Journal: AMIRKABIR Year:2001 | Volume:12 | Issue:46 Page(s): 189-201

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Title

SOLUTION TO TWO TYPES OF INVERSE HEAT CONDUCTION PROBLEMS BY BOUNDARY ELEMENTS METHOD

Author(s)

HEMATIAN M.R. | KARAMI GH.A. | Issue Writer Certificate

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Abstract

A method for the analysis of inverse nonlinear heat conduction having point or line distributed heat sources is presented. The contribution due to the loading vector coming from either point or line heat sources integrals are evaluated analytically and in an exact manner. The inverse solution may be categorized into finding either the solution of the problem in the form of the intensity of the loading at a specific location or finding the location or orientation of the generators assuming the intensity is known. The first category is an ill-posed type problem, whereas the solution to the second category type problems may be found by an optimization procedure. To regularize the solution to the first category type, least squares method is employed in conjunction with an addition of regularization term. To find the solution to the second category a new algorithm to be called "A Good Neighboring" is devised which make use of derivatives of order zero. For the problems with thermal conductivity temperature dependent a nonlinear behaviour is expected which would be dealt with Kirchhoff's transformation. The efficiency and accuracy of the methods are explored through several examples.

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APA: Copy

HEMATIAN, M.R., & KARAMI, GH.A.. (2001). SOLUTION TO TWO TYPES OF INVERSE HEAT CONDUCTION PROBLEMS BY BOUNDARY ELEMENTS METHOD. AMIRKABIR, 12(46), 189-201. SID. https://sid.ir/paper/1103/en

Vancouver: Copy

HEMATIAN M.R., KARAMI GH.A.. SOLUTION TO TWO TYPES OF INVERSE HEAT CONDUCTION PROBLEMS BY BOUNDARY ELEMENTS METHOD. AMIRKABIR[Internet]. 2001;12(46):189-201. Available from: https://sid.ir/paper/1103/en

IEEE: Copy

M.R. HEMATIAN, and GH.A. KARAMI, “SOLUTION TO TWO TYPES OF INVERSE HEAT CONDUCTION PROBLEMS BY BOUNDARY ELEMENTS METHOD,” AMIRKABIR, vol. 12, no. 46, pp. 189–201, 2001, [Online]. Available: https://sid.ir/paper/1103/en

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