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- W3004625791 abstract "This article considers the computational (acoustic) wave propagation in strongly heterogeneous structures beyond the assumption of periodicity. A high contrast between the constituents of microstructured multiphase materials can lead to unusual wave scattering and absorption, which are interesting and relevant from a physical viewpoint, for instance, in the case of crystals with defects. We present a computational multiscale method in the spirit of the Localized Orthogonal Decomposition and provide its rigorous a priori error analysis for two-phase diffusion coefficients that vary between <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=1> <mml:semantics> <mml:mn>1</mml:mn> <mml:annotation encoding=application/x-tex>1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and very small values. Special attention is paid to the extreme regimes of high frequency, high contrast, and their previously unexplored coexistence. A series of numerical experiments confirms the theoretical results and demonstrates the ability of the multiscale approach to efficiently capture relevant physical phenomena." @default.
- W3004625791 created "2020-02-14" @default.
- W3004625791 creator A5014228488 @default.
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- W3004625791 date "2020-03-09" @default.
- W3004625791 modified "2023-09-30" @default.
- W3004625791 title "Computational high frequency scattering from high-contrast heterogeneous media" @default.
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- W3004625791 doi "https://doi.org/10.1090/mcom/3529" @default.
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