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

Joao Guilherme Caldas Steinstraesser, Gaspard Kemlin & Antoine Rousseau

DOI: 10.4208/jms.v52n3.19.06

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)

  • BibTex
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@Article{JMS-52-320, author = {Caldas Steinstraesser , Joao GuilhermeKemlin , Gaspard and Rousseau , Antoine}, title = {A Domain Decomposition Method for Linearized Boussinesq-Type Equations}, journal = {Journal of Mathematical Study}, year = {2019}, volume = {52}, number = {3}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v52n3.19.06}, url = {http://global-sci.org/intro/article_detail/jms/13301.html} }
TY - JOUR T1 - A Domain Decomposition Method for Linearized Boussinesq-Type Equations AU - Caldas Steinstraesser , Joao Guilherme AU - Kemlin , Gaspard AU - Rousseau , Antoine JO - Journal of Mathematical Study VL - 3 SP - 320 EP - 340 PY - 2019 DA - 2019/09 SN - 52 DO - http://doi.org/10.4208/jms.v52n3.19.06 UR - https://global-sci.org/intro/article_detail/jms/13301.html KW - Boussinesq-type equations, finite differences scheme, transparent boundary conditions, domain decomposition, interface conditions, Schwarz alternating method. AB -

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.

Caldas Steinstraesser , Joao GuilhermeKemlin , Gaspard and Rousseau , Antoine. (2019). A Domain Decomposition Method for Linearized Boussinesq-Type Equations. Journal of Mathematical Study. 52 (3). 320-340. doi:10.4208/jms.v52n3.19.06
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