Processing math: 100%
Go to previous page

Hanging Nodes in the Unifying Theory of a Posteriori Finite Element Error Control

Hanging Nodes in the Unifying Theory of a Posteriori Finite Element Error Control

Year:    2009

Journal of Computational Mathematics, Vol. 27 (2009), Iss. 2-3 : pp. 215–236

Abstract

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, Q1, 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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-JCM-8569

Journal of Computational Mathematics, Vol. 27 (2009), Iss. 2-3 : pp. 215–236

Published online:    2009-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    A posteriori A priori Finite element Hanging node Adaptive algorithm.