Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales (Q1348624)
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scientific article; zbMATH DE number 1740211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales |
scientific article; zbMATH DE number 1740211 |
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Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales (English)
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1 July 2002
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The authors analyze a stabilized finite element method to solve the transient convection-diffusion-reaction equation based on the decomposition of the unknowns into resolvable and subgrid scales. They start from the time-discrete form of the problem and obtain an evolution equation for both components of the decomposition. A closed-form expression is proposed for the subscales. An optimal error estimation for the backward Euler methods is given.
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convection-reaction-diffusion equation
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error bounds
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orthogonal subscales
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stabilization
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finite element method
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evolution equation
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backward Euler method
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