Goal-Based Error Estimation for the Multi-Dimensional Diamond Difference and Box Discrete Ordinate (SN) Methods

DOI10.1080/23324309.2019.1710214OpenAlexW3004390325MaRDI QIDQ5029274

Jean C. Ragusa, F. Hülsemann, J. Kópházi, Matthew D. Eaton, R. S. Jeffers, François Févotte

Publication date: 11 February 2022

Published in: Journal of Computational and Theoretical Transport (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23324309.2019.1710214

zbMATH Keywords

transport theorydual weighted residualneutron transport equationdiamond differencegoal-based error estimation

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Uses Software

• DENOVO

Cites Work

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• Standard and goal-oriented adaptive mesh refinement applied to radiation transport on 2D unstructured triangular meshes
• Progress in adjoint error correction for integral functionals
• Grid adaptation for functional outputs: application to two-dimensional inviscid flows
• Goal-based h-adaptivity of the 1-D diamond difference discrete ordinate method
• Goal-oriented a posteriori error estimation for finite volume methods
• Convergence of a Fully Discrete Scheme for Two-Dimensional Neutron Transport
• On the Spatial Differencing of the Discrete Ordinate Neutron Transport Equation
• A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part I: Theory in the continuous moment case
• Adjoint Recovery of Superconvergent Functionals from PDE Approximations

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