Harmonic Analysis and Applications

June 4-8, 2018


"Using B-spline frames to approximate solutions of acoustic scattering problems"

Kreuzer, Wolfgang

Although frames, which are a generalization of bases, are important tools used in signal processing, their potential in other fields of acoustics has not been fully explored yet. Gabor frames are very well adapted to represent oscillating functions, and therefore have a great potential as ansatz functions for Helmholtz FEM/BEM. In this paper representations of the solution of a scattering problem in 2D using Gabor frames based on B-splines as building blocks are investigated and some properties of these frames will be shown based on numerical experiments.

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