Stopping criteria for adaptive finite element solvers (Q2847724)
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: Stopping criteria for adaptive finite element solvers |
scientific article; zbMATH DE number 6207533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stopping criteria for adaptive finite element solvers |
scientific article; zbMATH DE number 6207533 |
Statements
11 September 2013
0 references
stopping criteria
0 references
iterative methods
0 references
a posteriori error
0 references
error bounds
0 references
adaptive finite element methods
0 references
symmetric elliptic problems
0 references
algorithm
0 references
numerical examples
0 references
Stopping criteria for adaptive finite element solvers (English)
0 references
The paper analyzes a family of practical stopping criteria for linear solvers for adaptive finite element methods for symmetric elliptic problems. When a family of smallness criteria for the corresponding linear solver residuals are assumed on each level of refinement, a contraction property between two consecutive levels of refinement of the adaptive algorithm is shown. The authors prove that the smallness criteria give rise to practical stopping criteria for the iterations of the linear solver, which guarantees that the adaptive algorithm converges. Numerical examples are also discussed.
0 references
