Year: 2019
Author: Joao Guilherme Caldas Steinstraesser, Gaspard Kemlin, Antoine Rousseau
Journal of Mathematical Study, Vol. 52 (2019), Iss. 3 : pp. 320–340
Abstract
In this paper, we derive discrete transparent boundary conditions for a class of linearized Boussinesq equations. These conditions happen to be non-local in time and we test numerically their accuracy with a Crank-Nicolson time-discretization on a staggered grid. We use the derived transparent boundary conditions as interface conditions in a domain decomposition method, where they become local in time. We analyze numerically their efficiency thanks to comparisons made with other interface conditions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v52n3.19.06
Journal of Mathematical Study, Vol. 52 (2019), Iss. 3 : pp. 320–340
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Boussinesq-type equations finite differences scheme transparent boundary conditions domain decomposition interface conditions Schwarz alternating method.