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 1/200 (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 1/200 (Γ) penalty versus L2(Γ) penalty.
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© 2008 Springer-Verlag Berlin Heidelberg
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Bernardi, C., Rebollo, T.C., Vera, E.C., Coronil, D.F. (2008). A Posteriori Error Analysis of Penalty Domain Decomposition Methods for Linear Elliptic Problems. In: Kunisch, K., Of, G., Steinbach, O. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69777-0_44
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DOI: https://doi.org/10.1007/978-3-540-69777-0_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69776-3
Online ISBN: 978-3-540-69777-0
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