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References (5)
-
M. Trlep, A. Hamler, B. Hribernik (2000)
The use of DRM for inverse problems of Poisson's equationIEEE Transactions on Magnetics, 36
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P. Partridge, C. Brebbia, L. Wrobel (1991)
The dual reciprocity boundary element method -
E. Hensel (1991)
Inverse theory and applications for engineers -
P. Hansen, D. O’Leary (1993)
The Use of the L-Curve in the Regularization of Discrete Ill-Posed ProblemsSIAM J. Sci. Comput., 14
-
P.C. Hansen
The L‐curve and its use in the numerical treatment of inverse problems
- Publisher
- Emerald Publishing
- Copyright
- Copyright © 2004 Emerald Group Publishing Limited. All rights reserved.
- ISSN
- 0332-1649
- DOI
- 10.1108/03321640410540629
- Publisher site
- See Article on Publisher Site
Abstract
Presents the use of the dual reciprocity method (DRM) for solving inverse problems described by Poisson's equation. DRM provides a technique for taking the domain integrals associated with the inhomogeneous term to the boundary. For that reason, the DRM is supposed to be ideal for solving inverse problems. Solving inverse problems, a linear system is produced which is usually predetermined and ill‐posed. To solve that kind of problem, implements the Tikhonov algorithm and compares it with the analytical solution. In the end, tests the whole algorithm on different problems with analytical solutions.
Journal
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Sep 1, 2004
Keywords: Density measurement; Reciprocating engines; Algorithmic languages