HANGING NODES IN THE UNIFYING THEORY OF A POSTERIORI FINITE ELEMENT ERROR CONTROL

• 来源期刊: 计算数学（英文版）
• 关键词: A posteriori A priori Finite element Hanging node Adaptive algorithm
• 年，卷（期）: 2009,（2）
• 页码范围: 215-236
• 页数: 22页
• 语种: 英文

摘要

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 twodimensional 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 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.