Analysis of Error in the Solution of the 2-D Diffusion Equation by Finite Element Methods

Authors

  • I.F.M. Moura
  • E.C. Roumão
  • J.B.C. Silva

DOI:

https://doi.org/10.5540/tema.2008.09.02.0287

Abstract

This work presents a numerical solution of the two-dimensional diffusion equation in comparison with the analytical solution. The norms L2 and L1 of the error are evaluated for two variants of the finite element method: the Galerkin Finite Element Method (GFEM) and the Least-Squares Finite Element Method (LSFEM). Two applications are presented and discussed.

References

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E.C. Rom˜ao, “Variantes do M´etodo dos Elementos Finitos para Solu¸c˜ao de Fenˆomenos Convectivo-Difusivos Bidimensionais”, Disserta¸c˜ao de Mestrado, DEM/FEIS, UNESP, Ilha Solteira, SP, 2004.

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Published

2008-06-01

How to Cite

Moura, I., Roumão, E., & Silva, J. (2008). Analysis of Error in the Solution of the 2-D Diffusion Equation by Finite Element Methods. Trends in Computational and Applied Mathematics, 9(2), 287–298. https://doi.org/10.5540/tema.2008.09.02.0287

Issue

Vol. 9 No. 2 (2008)

Section

Original Article

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