Matlab code accompanying the manuscript:
Riccardo Bardin, Matthias Schlottbom: On accelerated iterative schemes
for anisotropic radiative transfer using residual minimization.
arXiv 2407.13356
Abstract: We consider the iterative solution of anisotropic radiative
transfer problems using residual minimization over suitable subspaces.
We show convergence of the resulting iteration using Hilbert space norms,
which allows us to obtain algorithms that are robust with respect to
finite dimensional realizations via Galerkin projections.
We investigate in particular the behavior of the iterative scheme
for discontinuous Galerkin discretizations in the angular variable
in combination with subspaces that are derived from related diffusion
problems. The performance of the resulting schemes is investigated
in numerical examples for highly anisotropic scattering problems with
heterogeneous parameters.
Date made available | 28 Jan 2025 |
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Publisher | Zenodo |
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