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Modified auxiliary boundary conditions method for an ill‐posed problem for the homogeneous biharmonic equation.
- Source :
-
Mathematical Methods in the Applied Sciences . 1/15/2020, Vol. 43 Issue 1, p358-383. 26p. - Publication Year :
- 2020
-
Abstract
- In this paper, we are interested in the inverse problem for the biharmonic equation posed on a rectangle, which is of great importance in many areas of industry and engineering. We show that the problem under consideration is ill‐posed; therefore, to solve it, we opted for a regularization method via modified auxiliary boundary conditions. The numerical implementation is based on the application of the semidiscrete finite difference method for a sequence of well‐posed direct problems depending on a small parameter of regularization. Numerical results are performed for a rectangle domain showing the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 43
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 140249199
- Full Text :
- https://doi.org/10.1002/mma.5888