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A posteriori estimate and asymptotic partial domain decomposition

Buscaglia, Gustavo C. ; Pousin, Jérôme ; Slimani, Kamel

Applicable analysis, 2013-12, Vol.92 (12), p.2561-2577 [Periódico revisado por pares]

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Título:
A posteriori estimate and asymptotic partial domain decomposition
Autor: Buscaglia, Gustavo C. ; Pousin, Jérôme ; Slimani, Kamel
Assuntos: a posteriori error estimates ; Accuracy ; Asymptotic methods ; asymptotic partial domain decomposition ; Asymptotic properties ; error indicator ; Mathematics ; Numerical Analysis ; Simulation
É parte de: Applicable analysis, 2013-12, Vol.92 (12), p.2561-2577
Notas: ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
Descrição: The method of asymptotic partial decomposition of a domain aims at replacing a 3D or 2D problem by a hybrid problem 3D − 1D; or 2D − 1D, where the dimension of the problem decreases in part of the domain. The location of the junction between the heterogeneous problems is asymptotically estimated in certain circumstances, but for numerical simulations it is important to be able to determine the location of the junction accurately. In this article, by reformulating the problem in a mixed formulation context and by using an a posteriori error estimate, we propose an indicator of the error due to a wrong position of the junction. Minimizing this indicator allows us to determine accurately the location of the junction. Some numerical results are presented for a toy problem.
Editor: Abingdon: Taylor & Francis Group
Idioma: Inglês

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