FINITE ELEMENT APPLIED TO AN ELLIPTIC PROBLEM IN NON-REGULAR DOMAIN

Authors

  • Melba Alvites Calipuy
  • Luis Lara Romero

DOI:

https://doi.org/10.17268/sel.mat.2015.02.03

Keywords:

Finite element, elliptic problem

Abstract

Study the behavior of an elliptical problem is often very difficult due to the geometry of the domain and the boundary conditions, so it is necessary to use numerical methods to find a solution. The finite
element method has proven to be efficient to treat problems of non-regular geometry and complicated parameters. This research has taken as reference the Poisson problem with mixed boundary conditions. It has proved the existence and uniqueness of a weak solution verifying the hypothesis Lax-Milgram theorem.
The domain is discretized into triangular elements with three nodes and a degree of freedom per node and to discretize the differential equation has been used Galerkin method.

References

Axelsson O. and Barker V. Finite Element Solution of Boundary Value Problems. Academic Press, Inc, Orlando-Florinda, USA 1984.

Abbott, M. and Basco, D. Computational Fluid Dynamics. An Introduction for Engineers. Copublished in the United States with Jhon Wiley & Sons, Inc. , New York, 1989.

Angirasa, D., Eggles, J. and Nieuwstadt, F. Numerical Simulation of Transient Natural Convection form an Isothermal Cavity Open on a Side, Numerical Heat Transfer,Part A., 28,755-768, 1995.

Bejan, A. Convection Heat Transfer. Jhon Wiley & Sons. Inc. USA. 1992.

Claeyssen, J. Bravo, E. and Rubio, O. Thermally driven convetive flow in the boundary condition for the pressure, Numerical Heat Transfer,34, 658-672, 2002.

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Published

2015-12-28

How to Cite

Alvites Calipuy, M., & Lara Romero, L. (2015). FINITE ELEMENT APPLIED TO AN ELLIPTIC PROBLEM IN NON-REGULAR DOMAIN. Selecciones Matemáticas, 2(02), 83-103. https://doi.org/10.17268/sel.mat.2015.02.03

Issue

Vol. 2 No. 02 (2015): August - December

Section

Articles

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