A posteriori error control in radiative transfer

DOI10.1007/BF02684345zbMath0880.65125OpenAlexW1520452126MaRDI QIDQ1362830

C. Führer, Guido Kanschat

Publication date: 7 August 1997

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02684345

zbMATH Keywords

finite elementerror estimatediscrete ordinates methoderror controlradiative transfer

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (9)

Standard and goal-oriented adaptive mesh refinement applied to radiation transport on 2D unstructured triangular meshes ⋮ Solution of the equation of radiative transfer using a Newton-Krylov approach and adaptive mesh refinement ⋮ Computing enhancement of the nonlinear \(\mathrm{SP}_{\mathrm{N}}\) approximations of radiative heat transfer in participating material ⋮ Fast, low-memory numerical methods for radiative transfer via \(hp\)-adaptive mesh refinement ⋮ $hp$-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems ⋮ Error estimates and adaptive finite element methods ⋮ Numerical Methods for Multidimensional Radiative Transfer ⋮ An adaptive higher order method for solving the radiation transport equation on unstructured grids ⋮ A reduced basis method for radiative transfer equation

Cites Work

• A generalized mean intensity approach for the numerical solution of the radiative transfer equation
• Convergence of a Fully Discrete Scheme for Two-Dimensional Neutron Transport
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Analysis of a Fully Discrete Scheme for Neutron Transport in Two-Dimensional Geometry
• An Adaptive Finite Element Method for Linear Elliptic Problems
• On the Differential Properties of Solutions to Fredholm Equations with Weakly Singular Kernels
• Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
• Error analysis for the finite element approximation of a radiative transfer model
• How accurate is the streamline diffusion finite element method?

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