Volume 52, Issue 3
A Domain Decomposition Method for Linearized Boussinesq-Type Equations

Joao Guilherme Caldas Steinstraesser, Gaspard Kemlin & Antoine Rousseau

J. Math. Study, 52 (2019), pp. 320-340.

Published online: 2019-09

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  • 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.

  • Keywords

Boussinesq-type equations, finite differences scheme, transparent boundary conditions, domain decomposition, interface conditions, Schwarz alternating method.

  • AMS Subject Headings

65M55

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

joao-guilherme.caldas-steinstraesser@inria.fr (Joao Guilherme Caldas Steinstraesser)

gaspard.kemlin@inria.fr (Gaspard Kemlin)

antoine.rousseau@inria.fr (Antoine Rousseau)

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