Convergence of Hardy Space Infinite Elements for Helmholtz Scattering and Resonance Problems

نویسنده

  • Martin Halla
چکیده

We perform a convergence analysis for discretization of Helmholtz scattering and resonance problems obtained by Hardy space infinite elements. Super-algebraic convergence with respect to the number of Hardy space degrees of freedom is achieved. As transparent boundary spheres and piecewise polytopes are considered. The analysis is based on a G̊arding-type inequality and standard operator theoretical results.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 54  شماره 

صفحات  -

تاریخ انتشار 2016