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Global Superconvergence and A Posteriori Error Estimators of the Finite Element Method for a Quasi-linear Elliptic Boundary Value Problem of Nonmonotone Type

✍ Scribed by Liu, Liping; Liu, Tang; Krízek, Michal; Lin, Tao; Zhang, Shuhua

Book ID
123613423
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
198 KB
Volume
42
Category
Article
ISSN
0036-1429

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In this work we derive and analyze a posteriori error estimators for low-order nonconforming finite element methods of the linear elasticity problem on both triangular and quadrilateral meshes, with hanging nodes allowed for local mesh refinement. First, it is shown that equilibrated Neumann data on