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

Estaner Claro Romão | Zendy; Marco Donisete de Campos | Zendy; Jairo Aparecido Martins | Zendy; Luiz Felipe Mendes de Moura | Zendy

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

Author(s) -

Estaner Claro Romão,

Marco Donisete de Campos,

Jairo Aparecido Martins,

Luiz Felipe Mendes de Moura

Publication year - 2009

Publication title -

revista de engenharia térmica

Language(s) - English

Resource type - Journals

ISSN - 1676-1790

DOI - 10.5380/reterm.v8i2.61919

Subject(s) - finite element method , laplace transform , galerkin method , helmholtz equation , mathematics , discontinuous galerkin method , norm (philosophy) , mathematical analysis , helmholtz free energy , laplace's equation , heat equation , diffusion equation , method of fundamental solutions , partial differential equation , boundary knot method , physics , boundary value problem , boundary element method , thermodynamics , engineering , metric (unit) , operations management , political science , law

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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