A Time-Adaptive Space-Time FMM for the Heat Equation

Raphael Watschinger; Günther Of

doi:10.1515/cmam-2022-0117

A Time-Adaptive Space-Time FMM for the Heat Equation

Raphael Watschinger, Günther Of^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

We present a new time-adaptive FMM for a space-time boundary element method for the heat equation. The method extends the existing parabolic FMM by adding new operations that allow for an efficient treatment of tensor product meshes which are adaptive in time. We analyze the efficiency of the new operations and the approximation quality of the related kernel expansions and present numerical experiments that reveal the benefits of the new method

Originalsprache	englisch
Fachzeitschrift	Computational Methods in Applied Mathematics
Frühes Online-Datum	6 Dez. 2022
DOIs	https://doi.org/10.1515/cmam-2022-0117
Publikationsstatus	Elektronische Veröffentlichung vor Drucklegung. - 6 Dez. 2022

ASJC Scopus subject areas

Numerische Mathematik
Computational Mathematics
Angewandte Mathematik

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

Zugriff auf Dokument

10.1515/cmam-2022-0117

Andere Dateien und Links

Verknüpfung zur Publikation in Scopus

FWF - Besthea - Raumzeitrandelementmethoden für die Wärmeleitgleichung
Of, G. & Watschinger, R.
1/03/19 → 30/11/22
Projekt: Foschungsprojekt

Dieses zitieren

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abstract = "We present a new time-adaptive FMM for a space-time boundary element method for the heat equation. The method extends the existing parabolic FMM by adding new operations that allow for an efficient treatment of tensor product meshes which are adaptive in time. We analyze the efficiency of the new operations and the approximation quality of the related kernel expansions and present numerical experiments that reveal the benefits of the new method",

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AB - We present a new time-adaptive FMM for a space-time boundary element method for the heat equation. The method extends the existing parabolic FMM by adding new operations that allow for an efficient treatment of tensor product meshes which are adaptive in time. We analyze the efficiency of the new operations and the approximation quality of the related kernel expansions and present numerical experiments that reveal the benefits of the new method

KW - Adaptivity

KW - Boundary Element Method

KW - FMM

KW - Heat Equation

KW - Space-Time Method

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ER -

A Time-Adaptive Space-Time FMM for the Heat Equation

Abstract

ASJC Scopus subject areas

Fields of Expertise

Treatment code (Nähere Zuordnung)

Zugriff auf Dokument

Andere Dateien und Links

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Projekte

FWF - Besthea - Raumzeitrandelementmethoden für die Wärmeleitgleichung

Dieses zitieren