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Wideband nested cross approximation for Helmholtz problems

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Abstract

In this article, the construction of nested bases approximations to discretizations of integral operators with oscillatory kernels is presented. The new method has log-linear complexity and generalizes the adaptive cross approximation method to high-frequency problems. It allows for a continuous and numerically stable transition from low to high frequencies.

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Authors and Affiliations

  1. Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universität Bonn, Wegelerstr. 6, 53115 , Bonn, Germany

    M. Bebendorf, C. Kuske & R. Venn

Authors
  1. M. Bebendorf
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  2. C. Kuske
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  3. R. Venn
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Correspondence to M. Bebendorf.

Additional information

This work was supported by the DFG project BE2626/3-1.

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Bebendorf, M., Kuske, C. & Venn, R. Wideband nested cross approximation for Helmholtz problems. Numer. Math. 130, 1–34 (2015). https://doi.org/10.1007/s00211-014-0656-7

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