A comparison of some inverse methods for estimating the initial condition of the heat equation (Q1300743)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A comparison of some inverse methods for estimating the initial condition of the heat equation |
scientific article; zbMATH DE number 1331043
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A comparison of some inverse methods for estimating the initial condition of the heat equation |
scientific article; zbMATH DE number 1331043 |
Statements
A comparison of some inverse methods for estimating the initial condition of the heat equation (English)
0 references
2 January 2001
0 references
Two explicit methods for the solution of an inverse heat conduction problem are analyzed. The authors confront them with the least-squares method, using for the solution of the associated direct problem a classical finite difference method and a method based on an integral formulation. Finally, the Tikhonov regularization connected with the least-squares criterion is examined. It is shown that the explicit approaches to this inverse heat conduction problem will present disastrous results unless some kind of regularization is used.
0 references
inverse problems
0 references
least-squares method
0 references
specral formulation
0 references
Tikhonov regularization
0 references
inverse heat conduction problem
0 references
finite difference method
0 references
0 references
