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Nodal finite element approximations for the neutron transport equation |
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| Authors: | Jean-Pierre Hennart Edmundo del Valle |
| Affiliation: | 1. Universidad Nacional Autónoma de México, Instituto de Investigaciones en Matemàticas Aplicadas y en Sistemas, 01000 México, D.F., Mexico;2. Instituto Politécnico Nacional, Escuela Superior de Física y Matemáticas, Departamento de Ingeniería Nuclear, Unidad Profesional “Adolfo López Mateos”, 07738 México, D.F., Mexico |
| Abstract: | Two classes of nodal methods, weakly and strongly discontinuous, are introduced and applied to the numerical solution of the neutron transport equation in two-dimensional Cartesian geometry and discrete ordinates. These methods are then applied for the approximation of the solution of a reference problem well known in the nuclear engineering literature. |
| Keywords: | Transport equation SN approximation Nodal methods Finite elements |
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