Nobody's Perfect; Matched Layers for Heterogeneous Media | Zendy

Laurence Halpern | Zendy; Ludovic Métivier | Zendy; Jeffrey Rauch | Zendy; Juliette Ryan | Zendy

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Nobody's Perfect; Matched Layers for Heterogeneous Media

Author(s) -

Laurence Halpern,

Ludovic Métivier,

Jeffrey Rauch,

Juliette Ryan

Publication year - 2019

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/17m1114752

Subject(s) - mathematics , geometrical optics , wavelength , nobody , numerical analysis , variable (mathematics) , mathematical analysis , optics , physics , computer science , operating system

We present an example of Berengeru0027s method for a problem with variable coefficients at the interface showing that the method is not perfectly matched. The reflections are revealed by constructing an infinitely accurate geometric optics approximation. They are also revealed in numerical simulations that confirm the dependence on wavelength from the asymptotic expansions.

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