A quasi-optimal non-overlapping domain decomposition method for two-dimensional time-harmonic elastic wave problems
| Autor: | Christophe Geuzaine, Marion Darbas, Vanessa Mattesi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Elastic scattering
Numerical Analysis Physics and Astronomy (miscellaneous) Applied Mathematics Context (language use) Domain decomposition methods 010103 numerical & computational mathematics 01 natural sciences Finite element method Computer Science Applications 010101 applied mathematics Computational Mathematics Rate of convergence Transmission (telecommunications) Modeling and Simulation Convergence (routing) Applied mathematics Boundary value problem 0101 mathematics Mathematics |
| Zdroj: | Journal of Computational Physics. 401:109050 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2019.109050 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect