TY  - JOUR
A1  - Grajewski, Matthias
A1  - Hron, Jaroslav
A1  - Turek, Stefan
T1  - Dual weighted a posteriori error estimation for a new nonconforming linear finite element on quadrilaterals
T2  - Applied Numerical Mathematics
N2  - 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.
Y1  - 2005
UR  - https://opus.bibliothek.fh-aachen.de/opus4/frontdoor/index/index/docId/9200
SN  - 0168-9274
VL  - 54
IS  - 3-4
SP  - 504
EP  - 518
PB  - Elsevier
CY  - Amsterdam
ER  -