A domain decomposition method for linearized Boussinesq-type equations

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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https://hal.inria.fr/hal-01797823
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Joao Guilherme Caldas Steinstraesser, Gaspard Kemlin, Antoine Rousseau. A domain decomposition method for linearized Boussinesq-type equations. 2018. ⟨hal-01797823⟩

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