Dual weighted a posteriori error estimation for a new nonconforming linear finite element on quadrilaterals
- After a short introduction of a new nonconforming linear finite element on quadrilaterals recently developed by Park, we derive a dual weighted residual-based a posteriori error estimator (in the sense of Becker and Rannacher) for this finite element. By computing a corresponding dual solution we estimate the error with respect to a given target error functional. The reliability and efficiency of this estimator is analyzed in several numerical experiments.
| Author: | Matthias GrajewskiORCiD, Jaroslav Hron, Stefan Turek |
|---|---|
| DOI: | https://doi.org/10.1016/j.apnum.2004.09.016 |
| ISSN: | 0168-9274 |
| Parent Title (English): | Applied Numerical Mathematics |
| Publisher: | Elsevier |
| Place of publication: | Amsterdam |
| Document Type: | Article |
| Language: | English |
| Year of Completion: | 2005 |
| Date of the Publication (Server): | 2020/02/13 |
| Volume: | 54 |
| Issue: | 3-4 |
| First Page: | 504 |
| Last Page: | 518 |
| Link: | https://doi.org/10.1016/j.apnum.2004.09.016 |
| Zugriffsart: | campus |
| Institutes: | FH Aachen / Fachbereich Medizintechnik und Technomathematik |
| collections: | Verlag / Elsevier |
