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Civil-Comp Conferences
ISSN 2753-3239 CCC: 4
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GPU AND CLOUD COMPUTING FOR ENGINEERING Edited by: P. Iványi, F. Magoulès and B.H.V. Topping
Paper 2.2
Schwarz domain decomposition algorithms to solve radiative transfer equation E. Strakova and T. Brzobohaty
IT4Innovations, VSB - Technical University of Ostrava, Czech Republic E. Strakova, T. Brzobohaty, "Schwarz domain decomposition algorithms
to solve radiative transfer equation", in P. Iványi, F. Magoulès, B.H.V. Topping, (Editors), "Proceedings of the Seventh International Conference on Parallel, Distributed, GPU
and Cloud Computing for Engineering", Civil-Comp Press, Edinburgh, UK,
Online volume: CCC 4, Paper 2.2, 2023, doi:10.4203/ccc.4.2.2
Keywords: radiative transfer equation, domain decomposition, restrictive additive
Schwarz preconditioner, optimized Schwarz preconditioner, discrete ordinate method,
streamline upwind Petrov-Galerkin finite element method.
Abstract
In this paper, the solving radiative transfer equation by the optimized Schwarz method
is presented. The optimized Schwarz method is applied as a preconditioner for the
Krylov subspace method to improve the convergence rate. The discrete ordinate and
mixed finite element methods are used for the angular and spatial discretization. The
numerical scalability of Schwarz-type preconditioners is discussed for the different
parameters of the radiative transfer equation.
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