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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

Full Bibliographic Reference for this paper
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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