An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures

Bao, Gang; Li, Peijun; Wu, Haijun

doi:10.1090/S0025-5718-09-02257-1

An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures

Authors: Gang Bao, Peijun Li and Haijun Wu
Journal: Math. Comp. 79 (2010), 1-34
MSC (2000): Primary 65N30, 78A45, 35Q60
DOI: https://doi.org/10.1090/S0025-5718-09-02257-1
Published electronically: May 7, 2009
MathSciNet review: 2552215
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Abstract: An edge element adaptive strategy with error control is developed for wave scattering by biperiodic structures. The unbounded computational domain is truncated to a bounded one by a perfectly matched layer (PML) technique. The PML parameters, such as the thickness of the layer and the medium properties, are determined through sharp a posteriori error estimates. Numerical experiments are presented to illustrate the competitive behavior of the proposed adaptive method.

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