Stabilized finite element approximations for heat conduction in a 3-D plate with dominant thermal source

1432-0924

Springer Online Journal Archives 1860-2000

Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Abstract The present work studies the finite element approximation for the heat transfer process in an opaque three-dimensional plate with a temperature-dependent source dominating the conductive operator. The adopted mechanical model assumes the existence of a heat transfer from/to the plate following Newton's law of cooling. The numerical simulations performed have attested the instability of the classical Galerkin method when subjected to very high source-dominated regimen. Usual strategies in the Engineering practice of dealing with this shortcoming proved to be inefficient. A Gradient-Galerkin/Least-Squares formulation was adopted in the numerical simulations as a remedy for the Galerkin's instability when subjected to those regimen.

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