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.