A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part I: Theory in the continuous moment case

DOI10.1080/00411459508206013zbMath0871.65111OpenAlexW4239125931MaRDI QIDQ4337828

Edmundo del Valle, Jean-Pierre Hennart

Publication date: 1 October 1997

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459508206013

zbMATH Keywords

finite elementfinite differenceslab geometrydiscrete ordinates equationsanisotropic scattering monoenergetic transportcontinuous moment methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Nuclear reactor theory; neutron transport (82D75)

Related Items (4)

p-adaptive numerical methods for particle transport ⋮ Goal-Based Error Estimation, Functional Correction, h, p and hp Adaptivity of the 1-D Diamond Difference Discrete Ordinate Method ⋮ Goal-based h-adaptivity of the 1-D diamond difference discrete ordinate method ⋮ Goal-Based Error Estimation for the Multi-Dimensional Diamond Difference and Box Discrete Ordinate (S_N) Methods

Cites Work

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• The convergence analysis for sixth-order methods for solving discrete-ordinates slab transport equations
• A New Fourth-Order Finite-Difference Method for Solving Discrete-Ordinates Slab Transport Equations
• A General Family of Nodal Schemes

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