A finite element formulation for a convection-diffusion equation based on Cattaneo's law

DOI10.1016/j.cma.2006.09.016zbMath1173.76339OpenAlexW2143478564MaRDI QIDQ1033193

Ignasi Colominas, Fermín Navarrina, Manuel Casteleiro, Héctor J. Gómez

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.09.016

zbMATH Keywords

convection-diffusionTaylor-GalerkinCattaneo's equation

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

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Cites Work

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• An analysis of time discretization in the finite element solution of hyperbolic problems
• An introduction to finite element methods for transient advection problems
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Boundary element formulation for the analysis of transferred potentials in electrical installations
• Efficient unstructured quadrilateral mesh generation
• A Taylor-Galerkin method for convective transport problems
• A discontinuous Galerkin method for a hyperbolic model for convection–diffusion problems in CFD
• The generalized Cattaneo equation for the description of anomalous transport processes