Optimized Schwarz method for the fluid-structure interaction with cylindrical interfaces
Optimized Schwarz method for the fluid-structure interaction with cylindrical interfaces
复制标题
用于圆柱界面流固耦合的优化 Schwarz 方法
DOI：
10.1007/978-3-319-18827-0_53
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发表时间：
2016
影响因子：
2.1
通讯作者：
C. Vergara
中科院分区：
文献类型：
--
作者：
G. Gigante;C. Vergara
优化施瓦茨方法（OSM）是一种基于引入广义 Robin 界面条件的域分解方法，通过引入合适的符号将两个物理界面条件线性组合而获得，然后在真子集中对此类符号进行优化，参见[10, 13]。到目前为止，这种方法已经被考虑用于解决平面界面情况下的许多问题，例如，参见[3,5-7,11,16,17]。最近，OSM 已针对[8, 9]中的圆柱形界面的情况和[2]中的圆形界面的情况进行了考虑和分析。特别是，在[8]中，我们开发了椭圆问题 Schwarz 方法的一般收敛分析和常数范围内的优化程序，并将其应用于流固耦合 (FSI) 问题。
The Optimized Schwarz Method (OSM) is a domain decomposition method based on the introduction of generalized Robin interface conditions obtained by linearly combining the two physical interface conditions through the introduction of suitable symbols, and then on the optimization of such symbols within a proper subset, see [10, 13]. This method has been considered so far for many problems in the case of flat interfaces, see, e.g., [3, 5–7, 11, 16, 17]. Recently, OSM has been considered and analyzed for the case of cylindrical interfaces in [8, 9], and for the case of circular interfaces in [2]. In particular, in [8] we developed a general convergence analysis of the Schwarz method for elliptic problems and an optimization procedure within the constants, with application to the fluid-structure interaction (FSI) problem.