CrossRef
Open Access
2019
11 sitasi
Modified auxiliary boundary conditions method for an ill‐posed problem for the homogeneous biharmonic equation
Abderafik Benrabah
Nadjib Boussetila
Faouzia Rebbani
Abstrak
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.
Penulis (3)
A
Abderafik Benrabah
N
Nadjib Boussetila
F
Faouzia Rebbani
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2019
- Bahasa
- en
- Total Sitasi
- 11×
- Sumber Database
- CrossRef
- DOI
- 10.1002/mma.5888
- Akses
- Open Access ✓