A two-mesh adaptive mesh refinement technique for \(S_N\) neutral-particle transport using a higher-order DGFEM

DOI10.1016/j.cam.2009.12.020zbMath1186.82070OpenAlexW2148781997MaRDI QIDQ961546

Jean C. Ragusa, Ya-qi Wang

Publication date: 31 March 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.12.020

zbMATH Keywords

adaptive mesh refinementdiscontinuous Galerkin finite element methoddiffusion synthetic accelerationSN transport

Mathematics Subject Classification ID

Related Items (9)

A high-order/low-order (HOLO) algorithm for preserving conservation in time-dependent low-rank transport calculations ⋮ A space-angle DGFEM approach for the Boltzmann radiation transport equation with local angular refinement ⋮ Minimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshes ⋮ Solution of the equation of radiative transfer using a Newton-Krylov approach and adaptive mesh refinement ⋮ A two-dimensional adaptive nodes technique in irregular regions applied to meshless-type methods ⋮ Application ofh-,p-, andhp-Mesh Adaptation Techniques to theSP₃Equations ⋮ An adaptive, hanging-node, discontinuous isogeometric analysis method for the first-order form of the neutron transport equation with discrete ordinate \((S_{\mathrm{N}})\) angular discretisation ⋮ High-order Wachspress functions on convex polygons through computer algebra ⋮ On robustly convergent and efficient iterative methods for anisotropic radiative transfer

Cites Work

• Adaptive mesh refinement -- theory and applications. Proceedings of the Chicago workshop on adaptive mesh refinement methods, Chicago, IL, USA, September 3--5, 2003.
• An adaptive mesh refinement algorithm for the radiative transport equation
• Goal-oriented \(hp\)-adaptivity for elliptic problems.
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Computing with hp-ADAPTIVE FINITE ELEMENTS
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