Towards efficient interface conditions for a Schwarz domain decomposition algorithm for an advection equation with biharmonic diffusion
Towards efficient interface conditions for a Schwarz domain decomposition algorithm for an advection equation with biharmonic diffusion
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DOI：
10.1016/j.apnum.2009.10.001
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发表时间：
2010
影响因子：
2.8
通讯作者：
E. Nourtier-Mazauric;E. Blayo
中科院分区：
文献类型：
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作者：
E. Nourtier-Mazauric;E. Blayo
利用施瓦茨全局时域分解算法推导求解双调和扩散-平流方程的有效界面条件。提出了一般的界面条件，从而导致每个子域上的适定问题。然后在简化的一维情况下研究该方程。导出了精确的非局部吸收边界条件，并采用优化的局部界面条件进行近似，数值实验表明了该方法的有效性。
This paper addresses the problem of deriving efficient interface conditions for solving biharmonic diffusion–advection equations using a Schwarz global-in-time domain decomposition algorithm. General interface conditions are proposed, which lead to well-posed problems on each subdomain. The equation is then studied in the simplified 1D case. Exact non-local absorbing boundary conditions are derived, and are approximated by optimized local interface conditions, the efficiency of which is illustrated by numerical experiments.