A numerical method for the solution of two‐dimensional inverse heat conduction problems | Zendy

Reinhardt H.J. | Zendy

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A numerical method for the solution of two‐dimensional inverse heat conduction problems

Author(s) -

Reinhardt H.J.

Publication year - 1991

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620320209

Subject(s) - thermal conduction , mathematics , inverse problem , heat equation , mathematical analysis , numerical analysis , partial differential equation , inverse , elliptic partial differential equation , geometry , physics , thermodynamics

A numerical method for the solution of inverse heat conduction problems in two‐dimensional rectangular domains is established and its performance is demonstrated by computational results. The present method extends Beck's 8 method to two spatial dimensions and also utilizes future times in order to stabilize the ill‐posedness of the underlying problems. The approach relies on a line approximation of the elliptic part of the parabolic differential equation leading to a system of one‐dimensional problems which can be decoupled.

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