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

DOI10.1080/00411459508206014zbMath0871.65112OpenAlexW2071461466MaRDI QIDQ4337829

Edmundo del Valle, Jean-Pierre Hennart

Publication date: 23 June 1997

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

Full work available at URL: https://doi.org/10.1080/00411459508206014

zbMATH Keywords

finite elementfinite differenceslab geometrydiscrete ordinates equationsanisotropic scattering monoenergetic transportdiscontinuous 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 (3)

p-adaptive numerical methods for particle transport ⋮ Nodal finite element approximations for the neutron transport equation ⋮ Quadratic serendipity discontinuous finite element discretization for \(S_N\) transport on arbitrary polygonal grids

Cites Work

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• On Finite-Difference Methods for Solving Discrete-Ordinates Transport Equations
• Convergence of Inner Iterations for Finite-Difference Approximations to the Linear Transport Equation
• Error Estimates for the Combined Spatial and Angular Approximations of the Transport Equation for Slab Geometry
• 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
• Convergence of discrete ordinates iteration scheme
• Closed linear one-cell functional spatial approximations: Consistency implies convergence and stability
• Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations
• Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry
• Error Estimates and Automatic Time Step Control for Nonlinear Parabolic Problems, I

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