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- Title
Quasi-boundary value method for an ill-posed problem for the homogeneous biharmonic equation.
- Authors
Benrabah, A.
- Abstract
In this paper, we propose a quasi boundary value method for an homogeneous biharmonic equation in a rectangular domain. It is known that the problem for the Biharmonic equations is severely ill-posed in the sense of Hadamard [12], i.e., the solution does not depend continuously on the given data. Convergence estimates for the regularized solutions are obtained under a priori and a posteriori bound assumptions for the exact solution. Some numerical results are given to show the effectiveness of the proposed method.
- Subjects
BOUNDARY element methods; BIHARMONIC equations; BIHARMONIC functions; PARTIAL differential equations; NUMERICAL solutions to biharmonic equations
- Publication
Applied Sciences, 2018, Vol 20, p36
- ISSN
1454-5101
- Publication type
Article