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Journal articles
Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation
Abstract : In this paper, we develop in a general framework a non overlapping Domain Decomposition Method that is proven to be well-posed and converges exponentially fast, provided that specific transmission operators are used. These operators are necessarily non local and we provide a class of such operators in the form of integral operators. To reduce the numerical cost of these integral operators, we show that a truncation process can be applied that preserves all the properties leading to an exponentially fast convergent method. A modal analysis is performed on a separable geometry to illustrate the theoretical properties of the method and we exhibit an optimization process to further reduce the convergence rate of the algorithm.
https://hal-cea.archives-ouvertes.fr/cea-03052206
Contributor : Flore Loyer Connect in order to contact the contributor
Submitted on : Tuesday, December 22, 2020 - 9:57:33 AM
Last modification on : Friday, December 3, 2021 - 11:34:05 AM
Contributor : Flore Loyer Connect in order to contact the contributor
Submitted on : Tuesday, December 22, 2020 - 9:57:33 AM
Last modification on : Friday, December 3, 2021 - 11:34:05 AM
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