An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation (Q2486143)
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| Language | Label | Description | Also known as |
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| English | An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation |
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An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation (English)
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5 August 2005
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This paper proposes and analyzes an adaptive finite element scheme for the advection-reaction-diffusion equation. This scheme is based on a stabilized finite element method combined with a residual error estimator. It is shown that the estimator is reliable and global upper and local lower error estimates are rigorously proved. Finally, a large set of numerical experiments shows the effectiveness of the method.
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Advection-reaction-diffusion problem
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Boundary and interior layers
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A posteriori error estimates
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Stabilized finite elements
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numerical experiments
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