Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation

In this paper, we propose a modified nonlocal boundary value problem method for an homogeneous biharmonic equation in a rectangular domain. We show that the considered problem is ill-posed in the sense of Hadamard, i.e. the solution does not depend continuously on the given data. Convergence estimat...

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Veröffentlicht in:	Inverse problems in science and engineering Jg. 27; H. 3; S. 340 - 368
Hauptverfasser:	Benrabah, A., Boussetila, N.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Taylor & Francis 04.03.2019
Schlagworte:	a priori estimates Biharmonic equation convergence estimate ill-posed problem regularization method
ISSN:	1741-5977, 1741-5985
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, we propose a modified nonlocal boundary value problem method for an homogeneous biharmonic equation in a rectangular domain. We show that the considered problem is ill-posed in the sense of Hadamard, i.e. the solution does not depend continuously on the given data. Convergence estimates for the regularized solution are obtained under a priori bound assumptions for the exact solution. Some numerical results are given to show the effectiveness of the proposed method.
ISSN:	1741-5977 1741-5985
DOI:	10.1080/17415977.2018.1461859