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Landweber–Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction.
- Source :
-
Mathematics & Mechanics of Solids . Jun2020, Vol. 25 Issue 6, p1340-1363. 24p. - Publication Year :
- 2020
-
Abstract
- We investigate the numerical reconstruction of the missing thermal boundary conditions on an inaccessible part of the boundary in the case of steady-state heat conduction in anisotropic solids from the knowledge of over-prescribed noisy data on the remaining accessible boundary. This inverse problem is tackled by employing a variational formulation that transforms it into an equivalent control problem; four such approaches are discussed thoroughly. The numerical implementation is realised for the 2D case via the boundary element method for perturbed Cauchy data, whilst the numerical solution is stabilised/regularised by stopping the iterative procedure according to Morozov's discrepancy principle (Morozov, VA. On the solution of functional equations by the method of regularization. Doklady Mathematics 1966; 7: 414–417). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10812865
- Volume :
- 25
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Mathematics & Mechanics of Solids
- Publication Type :
- Academic Journal
- Accession number :
- 143848016
- Full Text :
- https://doi.org/10.1177/1081286520921437