Source identification for the heat equation

G. A. Kriegsmann; W. E. Olmstead

doi:10.1016/0893-9659(88)90084-5

Source identification for the heat equation

G. A. Kriegsmann^*, W. E. Olmstead

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

12 Scopus citations

Abstract

The problem of determining an unknown heat source in a homogeneous, semi-infinite slab from measured temperature and flux data is examined. When the source is separable into a product of temporal and spatial components, a functional relationship is derived that relates the Laplace transforms of these components. Examples considered include a point source with oscillating intensity and a spatial layer undergoing exponential decay. A source of non-separable type in the form of a moving front is alsotreated.

Original language	English (US)
Pages (from-to)	241-245
Number of pages	5
Journal	Applied Mathematics Letters
Volume	1
Issue number	3
DOIs	https://doi.org/10.1016/0893-9659(88)90084-5
State	Published - 1988

ASJC Scopus subject areas

Applied Mathematics

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10.1016/0893-9659(88)90084-5

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title = "Source identification for the heat equation",

abstract = "The problem of determining an unknown heat source in a homogeneous, semi-infinite slab from measured temperature and flux data is examined. When the source is separable into a product of temporal and spatial components, a functional relationship is derived that relates the Laplace transforms of these components. Examples considered include a point source with oscillating intensity and a spatial layer undergoing exponential decay. A source of non-separable type in the form of a moving front is alsotreated.",

author = "Kriegsmann, {G. A.} and Olmstead, {W. E.}",

note = "Funding Information: Research supported by the National Science Foundation under Grants DMS-8700794",

year = "1988",

doi = "10.1016/0893-9659(88)90084-5",

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pages = "241--245",

journal = "Applied Mathematics Letters",

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T1 - Source identification for the heat equation

AU - Kriegsmann, G. A.

AU - Olmstead, W. E.

N1 - Funding Information: Research supported by the National Science Foundation under Grants DMS-8700794

PY - 1988

Y1 - 1988

N2 - The problem of determining an unknown heat source in a homogeneous, semi-infinite slab from measured temperature and flux data is examined. When the source is separable into a product of temporal and spatial components, a functional relationship is derived that relates the Laplace transforms of these components. Examples considered include a point source with oscillating intensity and a spatial layer undergoing exponential decay. A source of non-separable type in the form of a moving front is alsotreated.

AB - The problem of determining an unknown heat source in a homogeneous, semi-infinite slab from measured temperature and flux data is examined. When the source is separable into a product of temporal and spatial components, a functional relationship is derived that relates the Laplace transforms of these components. Examples considered include a point source with oscillating intensity and a spatial layer undergoing exponential decay. A source of non-separable type in the form of a moving front is alsotreated.

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DO - 10.1016/0893-9659(88)90084-5

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

Source identification for the heat equation

Abstract

ASJC Scopus subject areas

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