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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: Volltext

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