Regularization method and a posteriori error estimates for the two membranes problem
Abstract: This study presents a regularization method for the two membranes problem with non-homogeneous boundary conditions. We establish both convergence results and a priori estimates for this method. Using duality theory from convex analysis, we identify the dual problem related to the two membranes problem. Based on this dual formulation, we give a posteriori error estimates for both the continuous and discrete versions of the problem. These a posteriori error estimates are crucial for the practical implementation of the regularized problem.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Regularization method and a posteriori error estimates for the two membranes problem ; volume:22 ; number:1 ; year:2024 ; extent:15
Open mathematics ; 22, Heft 1 (2024) (gesamt 15)
- Creator
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Bouchlaghem, Mohammed
Mermri, El Bekkaye
Mellah, Zhor
- DOI
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10.1515/math-2024-0116
- URN
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urn:nbn:de:101:1-2502040439327.717064336765
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:26 AM CEST
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Associated
- Bouchlaghem, Mohammed
- Mermri, El Bekkaye
- Mellah, Zhor
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