A balanced finite element method for a system of singularly perturbed reaction-diffusion two-point boundary value problems (Q907575)
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scientific article; zbMATH DE number 6535405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A balanced finite element method for a system of singularly perturbed reaction-diffusion two-point boundary value problems |
scientific article; zbMATH DE number 6535405 |
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A balanced finite element method for a system of singularly perturbed reaction-diffusion two-point boundary value problems (English)
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25 January 2016
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The authors analyze a system of linear coupled reaction-diffusion equations, where each equation is a two-point boundary value problem and all equations share the same small diffusion coefficient. They propose a finite element method using piecewise quadratic splines. The norm associated with the proposed method is stronger than the usual energy norm and ``balanced''. Numerical examples are also discussed.
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singular perturbation
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balanced norm
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Shishkin mesh
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spline interpolant
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system of linear coupled reaction-diffusion equations
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two-point boundary value problem
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finite element method
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numerical example
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