- Tytuł:
- Conditional stability estimate for an ill-posed elliptic equation by using nonlocal conditions
- Autorzy:
- Benrabah, Abderafik
- Powiązania:
- https://bibliotekanauki.pl/articles/2202023.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
ill-posed problem
biharmonic equation
regularization methods
nonlocal conditions
a priori estimate
problem źle postawiony
równanie biharmoniczne
metoda regularyzacji
warunki nielokalne
szacowanie a priori - Opis:
- We consider an ill-posed linear homogeneous fourth-order elliptic equation. We show that the problem is ill-posed in the sense of Hadamard, i.e., the solution does not depend continuously on the given data. We propose a regularization method via nonlocal conditions and under some a priori bound assumptions different estimates for the regularized solution are obtained. Numerical examples for a rectangle domain show the effectiveness of the new method in providing highly accurate numerical solutions as the noise level tends to zero.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 5--17
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł