A domain decomposition method for linearized Boussinesq-type equations
Caldas Steinstraesser, Joao Guilherme ; Kemlin, Gaspard ; Rousseau, Antoine
HAL, hal-01797823 / Harvested from HAL
Text on HAL
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.
Publié le : 2018-05-22
Classification:  Boussinesq-type equations,  finite differences scheme,  transparent boundary conditions,  domain decomposition,  interface conditions,  Schwarz alternating method,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-01797823,
     author = {Caldas Steinstraesser, Joao Guilherme and Kemlin, Gaspard and Rousseau, Antoine},
     title = {A domain decomposition method for linearized Boussinesq-type equations},
     journal = {HAL},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01797823}
}

Caldas Steinstraesser, Joao Guilherme; Kemlin, Gaspard; Rousseau, Antoine. A domain decomposition method for linearized Boussinesq-type equations. HAL, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/hal-01797823/