Kernel-independent adaptive construction of H²-matrix approximations

Title data

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

Official URL:

Abstract in another language

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.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Keywords:	non-local operators; adaptive cross approximation; H²-matrices; interpolation
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Scientific Computing > Chair Scientific Computing - Univ.-Prof. Dr. Mario Bebendorf Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Scientific Computing
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	31 Jan 2022 08:29
Last Modified:	17 Mar 2022 09:30
URI:	https://eref.uni-bayreuth.de/id/eprint/68534