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

Institut für Angewandte Mathematik (5040)

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
Seiten (von - bis)	445-471
Seitenumfang	27
Fachzeitschrift	Computational Methods in Applied Mathematics
Jahrgang	23
Ausgabenummer	2
Frühes Online-Datum	6 Dez. 2022
DOIs	https://doi.org/10.1515/cmam-2022-0117
Publikationsstatus	Veröffentlicht - 1 Apr. 2023

ASJC Scopus subject areas

Numerische Mathematik
Computational Mathematics
Angewandte Mathematik

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

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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: Forschungsprojekt

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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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

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