A numerical method for the solution of two‐dimensional inverse heat conduction problems
- 5 August 1991
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 32 (2) , 363-383
- https://doi.org/10.1002/nme.1620320209
Abstract
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's8 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.Keywords
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