Constructive a priori error estimates for a full discrete approximation of the heat equation (Q2845601)
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: Constructive a priori error estimates for a full discrete approximation of the heat equation |
scientific article; zbMATH DE number 6203686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive a priori error estimates for a full discrete approximation of the heat equation |
scientific article; zbMATH DE number 6203686 |
Statements
2 September 2013
0 references
Galerkin methods
0 references
constructive a priori error estimates
0 references
stability
0 references
linear heat equation
0 references
Constructive a priori error estimates for a full discrete approximation of the heat equation (English)
0 references
The linear heat equation with homogeneous initial and boundary conditions is considered. Constructive a priori error estimates for the fully discrete approximation of this problem are presented. When the given force has \(L^2\)-regularity both in time and in space variables, it is proved that the time derivative of the proposed full discretization scheme is stable and the error estimate has an optimal order of convergence.
0 references
