@Article{JCM-27-215,
author = {C. Carstensen and Jun Hu},
title = {Hanging Nodes in the Unifying Theory of a Posteriori Finite Element Error Control},
journal = {Journal of Computational Mathematics},
year = {2009},
volume = {27},
number = {2-3},
pages = {215--236},
abstract = {<p style="text-align: justify;">A unified a posteriori error analysis has been developed in [18, 21–23] to analyze the
finite element error a posteriori under a universal roof. This paper contributes to the finite
element meshes with hanging nodes which are required for local mesh-refining. The two-dimensional
1−irregular triangulations into triangles and parallelograms and their combinations
are considered with conforming and nonconforming finite element methods named
after or by Courant, $Q_1$, Crouzeix-Raviart, Han, Rannacher-Turek, and others for the
Poisson, Stokes and Navier-Lamé equations. The paper provides a unified a priori and
a posteriori error analysis for triangulations with hanging nodes of degree ≤ 1 which are
fundamental for local mesh refinement in self-adaptive finite element discretisations.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8569.html}
}