On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation (Q2781488)
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: On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation |
scientific article; zbMATH DE number 1721493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation |
scientific article; zbMATH DE number 1721493 |
Statements
On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation (English)
0 references
20 March 2002
0 references
nonlinear Schrödinger equation
0 references
finite element method
0 references
convergence
0 references
error bounds
0 references
0 references
0 references
0 references
0 references
0 references
0 references
The author considers the nonlinear Schrödinger equation with Dirichlet boundary conditions. By means of a linearly implicit two-step finite element method which conserves the \(L^2\) norm, he proves optimal order a priori error estimates in \(L^2\) and \(H^1\) norms, under mild mesh conditions for two and three dimensions.
0 references
