A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. (Q2925945)
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: A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. |
scientific article; zbMATH DE number 6362246
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. |
scientific article; zbMATH DE number 6362246 |
Statements
29 October 2014
0 references
heat equation
0 references
finite element method
0 references
Crank-Nicolson method
0 references
a priori error estimate
0 references
semidiscretization
0 references
0.9093083
0 references
0.90566397
0 references
0.90006965
0 references
0.89287436
0 references
0.89160484
0 references
0.89139676
0 references
A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. (English)
0 references
The paper deals with the numerical solution of the heat equation with the aid of the finite element method for the space semi-discretization and the Crank-Nicolson scheme for the time discretization. The authors derive a priori error estimates in the discrete \(W^{1,\infty}(0,T; L^2(\Omega))\)-norm and in the discrete \(L^{\infty}(0,T; H^1_0(\Omega))\)-seminorm. The estimates are optimal with respect to the space as well as time coordinates.
0 references
