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.