p-adaptive numerical methods for particle transport

DOI10.1080/00411459908206036zbMath0944.65154OpenAlexW2084606635MaRDI QIDQ4262883

James S. Warsa, Anil K. Prinja

Publication date: 14 September 2000

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

Full work available at URL: https://doi.org/10.1080/00411459908206036

zbMATH Keywords

stabilityaccuracypositivityisotropic scatteringGalerkin procedurespatial discretizationfluxesmonoenergetic transport equation\(p\)-adaptive transport method

Mathematics Subject Classification ID

Related Items (2)

Spatial adaptivity of the SAAF and weighted least squares (WLS) forms of the neutron transport equation using constraint based, locally refined, isogeometric analysis (IGA) with dual weighted residual (DWR) error measures ⋮ Goal-Based Error Estimation, Functional Correction, h, p and hp Adaptivity of the 1-D Diamond Difference Discrete Ordinate Method

Cites Work

• Parallel, adaptive finite element methods for conservation laws
• Spatial differencing of the transport equation: Positivity vs. accuracy
• A modified linear discontinuous spatial discretization method in planar geometry
• Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry
• Adaptive positive nodal method for transport equation
• A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part I: Theory in the continuous moment case
• A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part II: Theory in the discontinuous moment case
• A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part III: Numerical results
• An accurate, strictly-positive, nonlinear characteristic scheme for the discrete-ordinate equations

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