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- W2981549163 abstract "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." @default.
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- W2981549163 date "2020-01-01" @default.
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- W2981549163 title "A quasi-optimal non-overlapping domain decomposition method for two-dimensional time-harmonic elastic wave problems" @default.
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- W2981549163 doi "https://doi.org/10.1016/j.jcp.2019.109050" @default.
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