Analysis and numerical study of a mixed formulation of a two membranes problem

In this paper, we present a reformulation of a two membranes problem as a mixed formulation problem based on the subdifferential of a continuous function of which the subdifferential leads to the characterization of the coincidence set. The reformulated problem is transformed into a saddle point pro...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 76; no. 6; pp. 1284 - 1300
Main Authors Bouchlaghem, Mohammed, Mermri, El Bekkaye
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 15.09.2018
Elsevier BV
Subjects
Coincidence set
Continuity (mathematics)
Convergence
Iterative methods
Mathematical functions
Membranes
Mixed formulation
Numerical analysis
Numerical method
Saddle points
Two membranes
Variational inequality
Numerical method
Coincidence set
Variational inequality
Two membranes
Mixed formulation
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Summary:In this paper, we present a reformulation of a two membranes problem as a mixed formulation problem based on the subdifferential of a continuous function of which the subdifferential leads to the characterization of the coincidence set. The reformulated problem is transformed into a saddle point problem. Then we present an iterative method to solve the problem and we prove the convergence of the approximate solutions to the exact one. Finally, some numerical examples are given.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2018.06.022