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A domain decomposition method for linearized Boussinesq-type equations

Joao Guilherme Caldas Steinstraesser 1, 2, 3 Gaspard Kemlin 4 Antoine Rousseau 2, 3
2 LEMON - Littoral, Environment: MOdels and Numerics
IMAG - Institut Montpelliérain Alexander Grothendieck, HSM - Hydrosciences Montpellier, CRISAM - Inria Sophia Antipolis - Méditerranée
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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Submitted on : Thursday, September 12, 2019 - 11:16:49 AM
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Joao Guilherme Caldas Steinstraesser, Gaspard Kemlin, Antoine Rousseau. A domain decomposition method for linearized Boussinesq-type equations. Journal of Mathematical Study, Global Science Press, 2019, 52 (3), pp.320-340. ⟨10.4208/jms.v52n3.19.06⟩. ⟨hal-01797823v2⟩

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