A finite element analysis of thermal convection problems with the Joule heat.

DOI10.1007/BF03170426zbMath1038.65098OpenAlexW2050316228MaRDI QIDQ1421152

Hajime Itoh, Daisuke Tagami

Publication date: 2003

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

Full work available at URL: https://doi.org/10.1007/bf03170426

zbMATH Keywords

stabilityfinite element methodnumerical experimentserror estimateJoule heatthermal convection problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (1)

Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

Cites Work

• A finite element analysis for a thermal convection problem with the infinite Prandtl number
• A stabilized finite element method for the Rayleigh-Bénard equations with infinite Prandtl number in a spherical shell
• Error estimates for finite element approximations of drag and lift in nonstationary Navier-Stokes flows
• Error analysis for finite element methods for steady natural convection problems
• An analysis of the finite element method for natural convection problems
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
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