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

Raphael Watschinger, Günther Of*

*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original languageEnglish
Pages (from-to)445-471
Number of pages27
JournalComputational Methods in Applied Mathematics
Volume23
Issue number2
Early online date6 Dec 2022
DOIs
Publication statusPublished - 1 Apr 2023

Keywords

  • Adaptivity
  • Boundary Element Method
  • FMM
  • Heat Equation
  • Space-Time Method

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Fields of Expertise

  • Information, Communication & Computing

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)

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