The effect of numerical integration in finite element methods for more general nonlinear parabolic integrodifferential equations (Q2765635)
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scientific article; zbMATH DE number 1694923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The effect of numerical integration in finite element methods for more general nonlinear parabolic integrodifferential equations |
scientific article; zbMATH DE number 1694923 |
Statements
15 November 2002
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finite element method
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nonlinear parabolic integro-differential equations
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quadrature scheme
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error estimates
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convergence
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The effect of numerical integration in finite element methods for more general nonlinear parabolic integrodifferential equations (English)
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The author discusses the effect of numerical integration in finite element methods for more general nonlinear parabolic integro-differential equations, which replaces the term \(u_t\) by the term \(c(x,u)_t\). The author give some sufficient conditions to ensure that the order of convergence is unaltered in the presence of numerical integration, and the optimal \(L^2\) and \(H^1\) error estimates are established.
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