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- W4299923394 abstract "We present and analyze a non-conforming domain decomposition approximation for a hypersingular operator governed by the Helmholtz equation in three dimensions. This operator appears when considering the corresponding Neumann problem in unbounded domains exterior to open surfaces. We consider small wave numbers and low-order approximations with Nitsche coupling across interfaces. Under appropriate assumptions on mapping properties of the weakly singular and hypersingular operators with Helmholtz kernel, we prove that this method converges almost quasi-optimally. Numerical experiments confirm our error estimate." @default.
- W4299923394 created "2022-10-03" @default.
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- W4299923394 date "2015-06-01" @default.
- W4299923394 modified "2023-09-24" @default.
- W4299923394 title "A non-conforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator" @default.
- W4299923394 doi "https://doi.org/10.48550/arxiv.1506.00688" @default.
- W4299923394 hasPublicationYear "2015" @default.
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