Kernel-independent adaptive construction of H²-matrix approximations

Titelangaben

Bauer, Maximilian ; Bebendorf, Mario ; Feist, Bernd:
Kernel-independent adaptive construction of H²-matrix approximations.
In: Numerische Mathematik. Bd. 150 (2022) Heft 1 . - S. 1-32.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-021-01255-y

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Abstract

A method for the kernel-independent construction of H²-matrix approximations to non-local operators is proposed.
Special attention is paid to the adaptive construction of nested bases. As a side result, new error
estimates for adaptive cross approximation~(ACA) are presented which have implications on the pivoting strategy of ACA.