Iterative Method to Solve a Data Completion Problem for Biharmonic Equation for Rectangular Domain-Reference-Cited by-同舟云学术

Iterative Method to Solve a Data Completion Problem for Biharmonic Equation for Rectangular Domain

Published:2017-07-26 Issue:1 Volume:55 Page:129-147
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Tajani Chakir¹,Kajtih Houda²,Daanoun Ali²

Affiliation:

1. Department of Mathematics Polydisciplinary faculty of Larache, Abdelmalek Essaadi University, Tétouan , Morocco

2. Faculty of Sciences and Techniques of Tangier, Abdelmalek Essaadi University, Tétouan , Morocco

Abstract

Abstract In this work, we are interested in a class of problems of great importance in many areas of industry and engineering. It is the invese problem for the biharmonic equation. It consists to complete the missing data on the inaccessible part from the measured data on the accessible part of the boundary. To solve this ill-posed problem, we opted for the alternative iterative method developed by Kozlov, Mazya and Fomin which is a convergent method for the elliptical Cauchy problems in general. The numerical implementation of the iterative algorithm is based on the application of the boundary element method (BEM) for a sequence of mixed well-posed direct problems. Numerical results are performed for a square domain showing the effectiveness of the algorithm by BEM to produce accurate and stable numerical results.

Publisher

Walter de Gruyter GmbH

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