A Posteriori Error Analysis of Penalty Domain Decomposition Methods for Linear Elliptic Problems

C. Bernardi (), T. Chacón Rebollo (), E. Chacón Vera () and D. Franco Coronil ()
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C. Bernardi: C.N.R.S. et Université Pierre et Marie Curie, Laboratoire Jacques-Louis Lions
T. Chacón Rebollo: Universidad de Sevilla, Departamento de Ecuaciones Diferenciales y Análisis Numérico
E. Chacón Vera: Universidad de Sevilla, Departamento de Ecuaciones Diferenciales y Análisis Numérico
D. Franco Coronil: Universidad de Sevilla, Departamento de Ecuaciones Diferenciales y Análisis Numérico

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 373-380 from Springer

Abstract: Abstract In this work we introduce a new version of the non-overlapping domain decomposition method (DDM) method proposed by Chacón and Chacón in [5]. In the new method a H 00 1/2 (Γ) penalty term replaces the L2(Γ) one in the original method. We develop a posteriori error analysis, aimed to design strategies for optimizing the combined choice of the penalty parameter and the adaptation of the grid, to reduce the computational cost. We shall discuss the computational benefits of using H 00 1/2 (Γ) penalty versus L2(Γ) penalty.

Keywords: Penalty Parameter; Posteriori Error; Penalty Term; Discretization Error; Posteriori Error Estimate (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_44

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DOI: 10.1007/978-3-540-69777-0_44

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