The use of quadratic programming for the solution of an inverse heat flow problem

Abstract

An inverse linear problem of heat energy variation was formulated as a quadratic programming problem with linear restrictions on the unknowns. The problem was solved using a program of the conjugate gradients technique developed earlier for gravity problems. The efficiency of the algorithm obtained is illustrated with model examples and by solving a problem on the evaluation of the effect of a basic intrusion on the temperature distribution in the sedimentary cover. -Journal summary

Original language	English
Pages (from-to)	155-167
Number of pages	13
Journal	Geology of the Pacific Ocean
Volume	12
Issue number	1
Publication status	Published - 1995

ASJC Scopus subject areas

Geology
Oceanography

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title = "The use of quadratic programming for the solution of an inverse heat flow problem",

abstract = "An inverse linear problem of heat energy variation was formulated as a quadratic programming problem with linear restrictions on the unknowns. The problem was solved using a program of the conjugate gradients technique developed earlier for gravity problems. The efficiency of the algorithm obtained is illustrated with model examples and by solving a problem on the evaluation of the effect of a basic intrusion on the temperature distribution in the sedimentary cover. -Journal summary",

author = "Isaev, {V. I.} and Volkova, {N. A.}",

year = "1995",

language = "English",

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pages = "155--167",

journal = "Geology of the Pacific Ocean",

issn = "8755-755X",

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AU - Volkova, N. A.

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AB - An inverse linear problem of heat energy variation was formulated as a quadratic programming problem with linear restrictions on the unknowns. The problem was solved using a program of the conjugate gradients technique developed earlier for gravity problems. The efficiency of the algorithm obtained is illustrated with model examples and by solving a problem on the evaluation of the effect of a basic intrusion on the temperature distribution in the sedimentary cover. -Journal summary

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