Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L∞-coefficients

@article{Bebendorf2003ExistenceO,
  title={Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L∞-coefficients},
  author={Mario Bebendorf and Wolfgang Hackbusch},
  journal={Numerische Mathematik},
  year={2003},
  volume={95},
  pages={1-28}
}
This article deals with the existence of blockwise low-rank approximants — so-called H-matrices — to inverses of FEM matrices in the case of uniformly elliptic operators with L∞-coefficients. Unlike operators arising from boundary element methods for which the H-matrix theory has been extensively developed, the inverses of these operators do not benefit from the smoothness of the kernel function. However, it will be shown that the corresponding Green functions can be approximated by degenerate… CONTINUE READING
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