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Plain convergence of goal-oriented adaptive FEM.
- Source :
-
Computers & Mathematics with Applications . Oct2023, Vol. 147, p130-149. 20p. - Publication Year :
- 2023
-
Abstract
- We discuss goal-oriented adaptivity in the frame of conforming finite element methods and plain convergence of the related a posteriori error estimator for different general marking strategies. We present an abstract analysis for two different settings. First, we consider problems where a local discrete efficiency estimate holds. Second, we show plain convergence in a setting that relies only on structural properties of the error estimators, namely stability on non-refined elements as well as reduction on refined elements. In particular, the second setting does not require reliability and efficiency estimates. Numerical experiments underline our theoretical findings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GOAL (Psychology)
*FINITE element method
*PLAINS
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 147
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 171901226
- Full Text :
- https://doi.org/10.1016/j.camwa.2023.07.022