Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency

نویسندگان

چکیده

We consider a wide variety of Helmholtz scattering problems including by Dirichlet, Neumann, and penetrable obstacles. radial perfectly matched layer (PML) show that for any fixed PML width steep-enough scaling angle, the solution is exponentially close, both in frequency tangent to true solution. Moreover, angle large enough width, close width. In fact, exponential bound holds with rate decay , where angle. More generally, results paper hold framework black-box under assumption an on norm cutoff resolvent, thus strong trapping. These are first accuracy at high-frequency nontrivial scatterers.

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ژورنال

عنوان ژورنال: Siam Journal on Mathematical Analysis

سال: 2023

ISSN: ['0036-1410', '1095-7154']

DOI: https://doi.org/10.1137/21m1443716