E. Dari et al., A-POSTERIORI ERROR ESTIMATORS FOR NONCONFORMING FINITE-ELEMENT METHODS, Modelisation mathematique et analyse numerique, 30(4), 1996, pp. 385-400
We introduce two a posteriori error estimators for piecewise linear no
nconforming finite element approximation of second order, elliptic pro
blems. We prove that these estimators are equivalent to the energy nor
m of the error. Finally, we present several numerical experiments show
ing the good behavior of the estimators when they are used as local er
ror indicators for adaptive refinement.