Finite Element Methods for Convection Diffusion Equation

Authors

  • V. Nassehi Chemical & Petroleum Engineering, University Loughborough
Abstract:

This paper deals with the finite element solution of the convection diffusion equation in one and two dimensions. Two main techniques are adopted and compared. The first one includes Petrov-Galerkin based on Lagrangian tensor product elements in conjunction with streamlined upwinding. The second approach represents Bubnov/Petrov-Galerkin schemes based on a new group of exponential elements. It is shown that specially devised exponential elements can be very effective in finite element analysis of convection dominated phenomena.

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Journal title

volume 4  issue 3

pages  93- 100

publication date 1991-11-01

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