Kernel-independent adaptive construction of H²-matrix approximations

Title data

Bauer, Maximilian ; Bebendorf, Mario ; Feist, Bernd:
Kernel-independent adaptive construction of H²-matrix approximations.
Bayreuth , 2020 . - 24 p.

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:	Preprint, postprint
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 Research Institutions > Research Centres > Forschungszentrum für Wissenschaftliches Rechnen an der Universität Bayreuth - HPC-Forschungszentrum 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 Research Institutions Research Institutions > Research Centres
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	04 Jun 2020 07:02
Last Modified:	05 Jun 2020 07:55
URI:	https://eref.uni-bayreuth.de/id/eprint/55457