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GMRes Algorithm and Symmetric Gauss-Seidel Preconditioning Solver for 2-D Boltzmann Transport Equation |
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| Authors: | Abdelkader Tizaoui Samir Akesbi |
| Affiliation: | (1) MIP, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse 3, France;(2) Département Génie Biologique, IUT Paul Sabatier, Toulouse 3, 24, rue d’Ambaquès, 32000 Auch, France;(3) LMIA, Université de Haute-Alsase, 4, rue des frères Lumières, 68093 Mulhouse Cedex, France |
| Abstract: | This paper describes a new algorithm to solve the neutron transport stationary equation in 2-D geometry. This algorithm is based on a splitting of the collision operator and an infinite dimensional adaptation of the GMRes method accelerated by a symmetric Gauss-Seidel preconditioning. The theoretical proof of the convergence and the numerical results are given in this work. |
| Keywords: | Neutron transport in 2-D plane geometry Splitting Preconditioning GMRes algorithm Integro-differential operators |
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