Numerical solutions for second-kind Volterra integral equations by Galerkin methods. (Q1582521)
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: Numerical solutions for second-kind Volterra integral equations by Galerkin methods. |
scientific article; zbMATH DE number 1516986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solutions for second-kind Volterra integral equations by Galerkin methods. |
scientific article; zbMATH DE number 1516986 |
Statements
Numerical solutions for second-kind Volterra integral equations by Galerkin methods. (English)
0 references
15 October 2000
0 references
The authors consider a nonlinear Volterra integral equation of the second kind in the interval [0,1]. They prove that a simple interpolated finite element Galerkin scheme produces a global superconvergence in the \(L^{\infty}\)-norm. A local superconvergence of iterated finite element solutions is investigated, as well. As a by-product, an a posteriori error estimator is obtained.
0 references
Volterra integral equations
0 references
Galerkin methods
0 references
convergence and superconvergence
0 references
interpolation post-processing
0 references
iterative correction
0 references
a posteriori error estimators
0 references
0 references
0 references
0 references
0 references
