Time-independent hybrid enrichment for finite element solution of transient conduction-radiation in diffusive grey media

DOI10.1016/j.jcp.2013.05.030zbMath1349.65470OpenAlexW2051880657WikidataQ107160494 ScholiaQ107160494MaRDI QIDQ347919

M. Shadi Mohamed, Jon Trevelyan, Mohammed Seaid, Omar Laghrouche

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.05.030

zbMATH Keywords

partition-of-unity methodfinite-element methodradiative heat transfersimplified \(\mathrm{P}_1\) approximationtransient conduction-radiation problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

An enriched finite element model with \(q\)-refinement for radiative boundary layers in glass cooling ⋮ Mixed enrichment for the finite element method in heterogeneous media ⋮ Computing enhancement of the nonlinear \(\mathrm{SP}_{\mathrm{N}}\) approximations of radiative heat transfer in participating material ⋮ A partition of unity finite element method for three-dimensional transient diffusion problems with sharp gradients ⋮ Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation ⋮ Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems ⋮ Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions ⋮ Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems ⋮ A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials

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