Total error estimates of mixed finite element methods for nonlinear reaction-diffusion equations (Q2746461)
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scientific article; zbMATH DE number 1656106
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Total error estimates of mixed finite element methods for nonlinear reaction-diffusion equations |
scientific article; zbMATH DE number 1656106 |
Statements
10 October 2001
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nonlinear reaction-diffusion equations
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Raviart-Thomas finite elements
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implicit Euler scheme
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total-error estimates
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mixed finite element methods
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combustion
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Total error estimates of mixed finite element methods for nonlinear reaction-diffusion equations (English)
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The authors consider three completely discrete schemes for parabolic problems with nonlinear diffusive and reactive terms. For the spatial discretization they use a mesh of rectangular elements with sides parallel to the axes, and standard Raviart-Thomas finite elements. For the temporal discretization, they study a completely implicit Euler scheme, a semi-implicit Euler scheme. They give some total-error estimates of these mixed finite element methods and present some results of the explicit scheme with lowest order Raviart-Thomas finite elements for a model of natural combustion an application.
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