APPLICATION OF GALERKIN FINITE ELEMENT METHOD IN THE SOLUTION OF 3D DIFFUSION IN SOLIDS

Authors

  • E. C. Romão Universidade Estadual de Campinas
  • M. D. de Campos Universidade Federal de Mato Grosso
  • J. A. Martins Universidade Estadual de Campinas
  • L. F. M. de Moura Universidade Estadual de Campinas

DOI:

https://doi.org/10.5380/reterm.v8i2.61919

Keywords:

Finite Element Method, Galerkin Method, Diffusion, Solid, Poisson Equation, Helmholtz Equation

Abstract

This paper presents the numerical solution by the Galerkin Finite Element Method, on the three-dimensional Laplace and Helmholtz equations, which represent the heat diffusion in solids. For the two applications proposed, the analytical solutions found in the literature review were used in comparison with the numerical solution. The results analysis was made based on the the L2 Norm (average error throughout the domain) and L¥ Norm (maximum error in the entire domain). The two application results, one of the Laplace equation and the Helmholtz equation, are presented and discussed in order to to test the efficiency of the method.

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Published

2009-12-31

How to Cite

Romão, E. C., de Campos, M. D., Martins, J. A., & de Moura, L. F. M. (2009). APPLICATION OF GALERKIN FINITE ELEMENT METHOD IN THE SOLUTION OF 3D DIFFUSION IN SOLIDS. Revista De Engenharia Térmica, 8(2), 79–83. https://doi.org/10.5380/reterm.v8i2.61919

Issue

Section

Ciência/Science