A finite element approximation of the energytransfer process in a plate with non-lineartemperature-dependent heat source

• Sergio Frey ^[1] ; Maria Luisa Martins-Costa ^[2] ; Rogério M. Saldanha da Gama ^[3]
  1. [1] Universidade Federal do Rio Grande do Sul

     Universidade Federal do Rio Grande do Sul

     Brasil

     
  2. [2] Universidade Federal Fluminense

     Universidade Federal Fluminense

     Brasil

     
  3. [3] Laboratório Nacional de ComputaÇao Científica, Petrópolis, Brazi

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• Localización: Métodos Numéricos en Ingeniería: [Comunicaciones presentadas al IV Congreso de Métodos Numéricos en Ingeniería celebrado en Sevilla durante los días 7-10 de Junio de 1999] / R. Abascal (ed. lit.), José Domínguez Abascal (ed. lit.) , G. Bugeda (ed. lit.), 1999, ISBN 84-89925-45-3
• Idioma: inglés
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• Resumen

  • The present work studies the finite element approximation for the heattransfer process in an opaque three-dimensional plate with a non-linear temperature-dependent source dominating the conductive operator. A solution for the non-linearresulting problem is constructed by employing a convergent sequence of linear problemswhose simulation technique is known. Since the classical Galerkin method presentsinstabilities when subjected to very high source-dominated regimen, both Galerkin anda Gradient-Galerkin/Least-Squares formulations are presented for a linear problem - anelement of the convergent sequence.