ANALYSIS OF SEQUENTIAL METHODS OF SOLVING THE INVERSE HEAT CONDUCTION PROBLEM
- 1 December 1993
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 24 (4) , 455-474
- https://doi.org/10.1080/10407799308955903
Abstract
The emphasis of this article is on an error and stability analysis of sequential methods solving the linear inverse heat conduction problem. The well-known method of J. V. Beck is studied as well as modifications thereof. At the end, our results are discussed by means of numerical examples. The following aspects are most important in the article. A fundamental relation is established that shows how the heat fluxes determined by Beck's method depend explicitly on the previous heat fluxes and on the data. On the one hand, this presents a new way of computing the Beck method and, on the other hand, leads to various modifications of the method for which analogous relations and computational procedures are available. Moreover, for all sequential methods under consideration, an error analysis can be established.Keywords
This publication has 6 references indexed in Scilit:
- A noncharacteristic cauchy problem for linear parabolic equations II: a variational methodNumerical Functional Analysis and Optimization, 1992
- A numerical method for the solution of two‐dimensional inverse heat conduction problemsInternational Journal for Numerical Methods in Engineering, 1991
- A noncharacteristic cauchy problem for the heat equationActa Applicandae Mathematicae, 1991
- EFFICIENT SEQUENTIAL SOLUTION OF THE NONLINEAR INVERSE HEAT CONDUCTION PROBLEMNumerical Heat Transfer, 1982
- Nonlinear estimation applied to the nonlinear inverse heat conduction problemInternational Journal of Heat and Mass Transfer, 1970
- An Exact Solution of the Inverse Problem in Heat Conduction Theory and ApplicationsJournal of Heat Transfer, 1964