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On Domain Decomposition Methods with optimized transmission conditions and cross-points

Abstract : We study a mathematical framework for the construction of domain decomposition methods (DDM) for the model Helmholtz equation with high order transmission conditions (TC) and cross-points. A compatibility condition is formulated for cross-points matrices so that the DDM is proved to be convergent under general conditions. The proof is based on a new global energy formulated on the skeleton of the DDM decomposition. It allows to use transmission operators which have a non trivial anti-symmetric part.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03230250
Contributor : Anouk Nicolopoulos Connect in order to contact the contributor
Submitted on : Wednesday, May 19, 2021 - 4:26:41 PM
Last modification on : Thursday, April 7, 2022 - 1:58:32 PM
Long-term archiving on: : Friday, August 20, 2021 - 6:48:11 PM

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  • HAL Id : hal-03230250, version 1

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Bruno Després, Anouk Nicolopoulos, Bertrand Thierry. On Domain Decomposition Methods with optimized transmission conditions and cross-points. 2021. ⟨hal-03230250⟩

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