论文标题
经典优化的非重叠的施瓦茨方法的封闭域中的helmholtz问题
Convergence of classical optimized non-overlapping Schwarz method for Helmholtz problems in closed domains
论文作者
论文摘要
在本文中，我们讨论了在封闭域中定义的Helmholtz问题最新优化的Schwarz传输条件的收敛性（即未表现出波浪条件的设置），就像建模腔时通常遇到的那样。特别是，分析了后传播波对Dirichlet到Neumann图的影响。之后，讨论了公认优化的0阶，evaneScent模式阻尼，优化的2阶和Padé-localizatization Square-root传输条件。
In this paper we discuss the convergence of state-of-the-art optimized Schwarz transmission conditions for Helmholtz problems defined on closed domains (i.e. setups which do not exhibit an outgoing wave condition), as commonly encountered when modeling cavities. In particular, the impact of back-propagating waves on the Dirichlet-to-Neumann map is analyzed. Afterwards, the performance of the well-established optimized 0th-order, evanescent modes damping, optimized 2nd-order and Padé-localized square-root transmission conditions is discussed.
