TY - JOUR
T1 - Uniformly a Posteriori Error Estimate for the Finite Element Method to a Model Parameter Dependent Problem
AU - Yiran Zhang & Jun Hu
JO - Journal of Computational Mathematics
VL - 5
SP - 716
EP - 727
PY - 2008
DA - 2008/10
SN - 26
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8654.html
KW - The beam problem, A posteriori error estimator, Finite element method.
AB - <p style="text-align: justify;">This paper proposes a reliable and efficient a posteriori error estimator for the finite element methods for the beam problem. It is proved that the error can be bounded by the computable error estimator from above and below up to multiplicative constants that do neither depend on the mesh size nor on the thickness of the beam.</p>