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Nodal finite element approximations for the neutron transport equation

Author

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  • Hennart, Jean-Pierre
  • del Valle, Edmundo

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.

Suggested Citation

  • Hennart, Jean-Pierre & del Valle, Edmundo, 2010. "Nodal finite element approximations for the neutron transport equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(11), pages 2168-2176.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:11:p:2168-2176
    DOI: 10.1016/j.matcom.2010.04.010
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    Cited by:

    1. Julian Duran-Gonzalez & Victor Hugo Sanchez-Espinoza & Luigi Mercatali & Armando Gomez-Torres & Edmundo del Valle-Gallegos, 2022. "Verification of the Parallel Transport Codes Parafish and AZTRAN with the TAKEDA Benchmarks," Energies, MDPI, vol. 15(7), pages 1-16, March.

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