Wave-based Discretizations A high-frequency boundary element method for a transmission scattering problem
نویسندگان
چکیده
We consider time-harmonic scattering by penetrable polygonal obstacles in 2D. We present a boundary element method (BEM) based on a hybrid numerical-asymptotic (HNA) approximation space built from oscillatory basis functions. The basis functions are carefully chosen to capture the leading order terms in the highfrequency asymptotic behaviour of the boundary solution. Numerical experiments suggest that the method can achieve fixed accuracy using a small (and frequency-independent) number of degrees of freedom, even at high frequencies.
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