The effect of numerical integration in finite element methods for nonlinear parabolic integrodifferential equations (Q2735403)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The effect of numerical integration in finite element methods for nonlinear parabolic integrodifferential equations |
scientific article; zbMATH DE number 1640408
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The effect of numerical integration in finite element methods for nonlinear parabolic integrodifferential equations |
scientific article; zbMATH DE number 1640408 |
Statements
19 August 2002
0 references
finite element method
0 references
nonlinear parabolic integrodifferential equation
0 references
quadrature scheme
0 references
error estimates
0 references
heat diffusion
0 references
convergence
0 references
The effect of numerical integration in finite element methods for nonlinear parabolic integrodifferential equations (English)
0 references
The author investigates the effect of numerical integration in the semi-discrete finite element approximation for a nonlinear parabolic integrodifferential equation describing gas or heat diffusion process. Exploiting the properties of the finite element interpolation spaces and using discrete energy estimates, the author gives some sufficient conditions to ensure that the order of convergence is unaltered in the presence of numerical integration. Moreover, the optimal \(L^2\)-error estimates are obtained for the approximate solutions.
0 references
