Wideband nested cross approximation for Helmholtz problems. Bebendorf, M., Kuske, C., & Venn, R. Numerische Mathematik, 130(1):1–34, 2015. doi abstract bibtex 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.
@Article{ Bebendorf_2015aa,
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.},
author = {Bebendorf, M. and Kuske, C. and Venn, R.},
doi = {10.1007/s00211-014-0656-7},
issn = {0945-3245},
journal = {Numerische Mathematik},
number = {1},
pages = {1--34},
title = {Wideband nested cross approximation for {Helmholtz} problems},
volume = {130},
year = {2015},
shortjournal = {Numer. Math.}
}
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