Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic \(p\)-Laplacian (Q1956218)
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: Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic \(p\)-Laplacian |
scientific article; zbMATH DE number 6175215
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic \(p\)-Laplacian |
scientific article; zbMATH DE number 6175215 |
Statements
Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic \(p\)-Laplacian (English)
0 references
13 June 2013
0 references
The paper deals with a numerical solution of a nonlinear parabolic equation with the aid of the finite element method. The time derivative is discretized by the implicit Euler method. The author derives a reliable and efficient a posteriori error estimate using the so-called quasi-norm and a related dual error expression, which gives an equivalence between the error and the residual. No numerical examples are presented.
0 references
\(p\)-Laplacian
0 references
nonlinear parabolic equation
0 references
a posteriori error estimate
0 references
finite element method
0 references
implicit Euler method
0 references
0 references
0 references
0 references
0 references
0 references
