On the finite Radon transform for the computational homogenization of conductivity

Abstract: This paper investigates the computational homogenization of thermal conductivity problems using a finite Radon transform as proposed by Derraz and coworkers, implemented using the Fourier slice theorem to allow utilization of the fast Fourier transform‐based frameworks and methods. For the finite Radon transform both the original approach and the consistent approach proposed by Jabs and Schneider are used. The two discretizations are compared to the Moulinec–Suquet discretization using numerical examples. In doing so the convergence of the consistent approach is shown and the discussion of the original Radon approach is extended.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
On the finite Radon transform for the computational homogenization of conductivity ; day:26 ; month:11 ; year:2024 ; extent:9
Proceedings in applied mathematics and mechanics ; (26.11.2024) (gesamt 9)

Creator
Jabs, Lukas
Schneider, Matti

DOI
10.1002/pamm.202400189
URN
urn:nbn:de:101:1-2411261344237.780464236069
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:29 AM CEST

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Associated

  • Jabs, Lukas
  • Schneider, Matti

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