A quasi-optimal non-overlapping domain decomposition method for two-dimensional time-harmonic elastic wave problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:401

Article

Mattesi, V¹  Darbas, M.²  Geuzaine, C.¹ 

[1] Univ Liege, Dept Elect Engn & Comp Sci, Liege, Belgium

[2] Univ Picardie Jules Verne, LAMFA, Amiens, France

关键词: Domain decomposition method;    Non-overlapping Schwarz method;    Scattering;    2D time-harmonic elastic waves;    High-frequency;   

DOI  :  10.1016/j.jcp.2019.109050

来源: Elsevier

【 摘 要 】

This article presents the construction of a new non-overlapping domain decomposition method (DDM) for two-dimensional elastic scattering problems. The method relies on a high-order Transmission Boundary Condition (TBC) between sub-domains, which accurately approximates the exact Dirichlet-to-Neumann map. First, we explain the derivation of this new TBC in the context of a non-overlapping DDM. Next, a mode-by-mode convergence study for a model problem is presented, which shows the new method to be quasi-optimal, i.e. with an optimal convergence rate for evanescent modes and an improved convergence rate for the other modes compared to the standard low-order Lysmer-Kuhlemeyer TBC. Finally, the effectiveness of the new DDM is demonstrated in a finite element context by analyzing the behavior of the method on high-frequency elastodynamic simulations. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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