Mixed finite element methods for a fourth order reaction diffusion equation (Q2910809)
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scientific article; zbMATH DE number 6081134
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixed finite element methods for a fourth order reaction diffusion equation |
scientific article; zbMATH DE number 6081134 |
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Mixed finite element methods for a fourth order reaction diffusion equation (English)
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11 September 2012
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fourth order reaction diffusion equation
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mixed finite element methods
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Fisher-Kolmogorov equation
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a prior error estimates
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Lyapunov functional
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Gronwall's lemma
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numerical experiment
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backward Euler method
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The paper considers numerical methods for the fourth order reaction diffusion equation. A standard mixed finite element method is employed for spacial discretization such that \(C^0\) linear element is sufficient. The time discretization is the backward Euler method. The discrete version of Lyapunov functional is used to obtain a priori estimate. An error estimate is derived using Gronwall's lemma.
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