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Transport Theory and Statistical Physics Volume 33, 2004 - Issue 2
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Original Articles

New Variational Formulations for the Neutron Transport Equation

L. Bourhrara CS Communication et Systemes, Direction Applications Industrielles et Scientifiques, 1 Avenue Newton, 92 142, Clamart Cedex, FranceCorrespondence[email protected]
Pages 93-124 | Received 11 Mar 2003, Accepted 13 Oct 2003, Published online: 24 Aug 2007

Citations (10)

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Read on this site (6)

Kenneth Assogba, Lahbib Bourhrara, Igor Zmijarevic, Grégoire Allaire & Antonio Galia. (2023) Spherical Harmonics and Discontinuous Galerkin Finite Element Methods for the Three-Dimensional Neutron Transport Equation: Application to Core and Lattice Calculation. Nuclear Science and Engineering 197:8, pages 1584-1599.
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J. Cartier & M. Peybernes. (2010) Mixed Variational Formulation and Mixed-Hybrid Discretization of the Transport Equation. Transport Theory and Statistical Physics 39:1, pages 1-46.
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L. Bourhrara. (2009) W Approximations Of Neutron Transport Equation. Transport Theory and Statistical Physics 38:4, pages 195-227.
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Richard Sanchez & NormanJ. McCormick. (2008) On the Uniqueness of the Inverse Source Problem for Linear Particle Transport Theory. Transport Theory and Statistical Physics 37:2-4, pages 236-263.
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Lahbib Bourhrara & Richard Sanchez. (2006) Existence Result for the Kinetic Neutron Transport Problem in the Presence of Delayed Neutrons. Transport Theory and Statistical Physics 35:3-4, pages 137-156.
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L. Bourhrara. (2006) H1 Approximations of the Neutron Transport Equation and Associated Diffusion Equations. Transport Theory and Statistical Physics 35:3-4, pages 89-108.
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Articles from other publishers (4)

Martin Berggren & Linus Hägg. (2021) Well-posed variational formulations of Friedrichs-type systems. Journal of Differential Equations 292, pages 90-131.
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Lahbib Bourhrara. (2019) A new numerical method for solving the Boltzmann transport equation using the PN method and the discontinuous finite elements on unstructured and curved meshes. Journal of Computational Physics 397, pages 108801.
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G. Widmer, R. Hiptmair & Ch. Schwab. (2008) Sparse adaptive finite elements for radiative transfer. Journal of Computational Physics 227:12, pages 6071-6105.
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Guillaume Bal. 2006. Computational Methods in Transport. Computational Methods in Transport 373 400 .

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