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On the Optimal Convergence Rate of a Robin-Robin Domain Decomposition Method

On the Optimal Convergence Rate of a Robin-Robin Domain Decomposition Method
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Year:    2014

Journal of Computational Mathematics, Vol. 32 (2014), Iss. 4 : pp. 456–475

Abstract

In this work, we solve a long-standing open problem: Is it true that the convergence rate of the Lions' Robin-Robin nonoverlapping domain decomposition (DD) method can be constant, independent of the mesh size $h?$ We closed this old problem with a positive answer. Our theory is also verified by numerical tests.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1403-m4391

Journal of Computational Mathematics, Vol. 32 (2014), Iss. 4 : pp. 456–475

Published online:    2014-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Finite element Robin-Robin domain decomposition Convergence rate.

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