Multigrid Newton-Krylov method for radiation in diffusive semitransparent media

DOI10.1016/j.cam.2006.04.016zbMath1115.65128OpenAlexW44669269MaRDI QIDQ879267

Mohammed Seaïnum

Publication date: 11 May 2007

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.2006.04.016

zbMATH Keywords

numerical resultsmultigrid algorithmradiative heat transferNewton-Krylov method\(\text{SP}_{\mathrm N}\) approximationsfinite differencing methodsglass cooling simulationsnonlinear fixed point problem

Mathematics Subject Classification ID

Related Items (9)

Time-independent hybrid enrichment for finite element solution of transient conduction-radiation in diffusive grey media ⋮ An enriched finite element model with \(q\)-refinement for radiative boundary layers in glass cooling ⋮ A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions ⋮ Signal reconstruction for the diffusion transport equation using tensorial spline Galerkin approximation ⋮ Model reduction techniques for frequency averaging in radiative heat transfer ⋮ Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions ⋮ A numerical method for one-dimensional diffusion problem using Fourier transform and the B-spline Galerkin method ⋮ Finite element P₁solution of unsteady thermal flow past a circular cylinder with radiation ⋮ Well-posedness and numerical approximation of steady convection-diffusion-reaction problems in porous media

Cites Work

• Efficient numerical methods for radiation in gas turbines
• Numerical solvers for radiation and conduction in high temperature gas flows
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A Fast Multilevel Algorithm for the Solution of Nonlinear Systems of Conductive-Radiative Heat Transfer Equations
• NUMERICAL METHODS AND OPTIMAL CONTROL FOR GLASS COOLING PROCESSES
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