Article ID Journal Published Year Pages File Type
499526 Computer Methods in Applied Mechanics and Engineering 2008 15 Pages PDF
Abstract

In this paper, we design a posteriori error estimators for the mixed finite element approximation of the convection–diffusion problems with dominant convection which exhibit solutions with internal layers and boundary layers. A discontinuous upstream weighting scheme in association with the mixed method is used for the convection term. The a posteriori error estimator yields global upper and local lower bounds on the error measured in the L2-norm. We present several numerical results to show the performance of the error estimator. We find that our estimator is not only reliable and efficient but also robust for various numerical examples.

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Physical Sciences and Engineering Computer Science Computer Science Applications
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