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	HANGING NODES IN THE UNIFYING THEORY OF A POSTERIORI FINITE ELEMENT ERROR CONTROL
	Carstensen, C. ; Hu, Jun
	2009
关键词	A posteriori A priori Finite element Hanging node Adaptive algorithm STATIONARY STOKES CONVERGENCE ESTIMATORS EQUATIONS
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 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-Lame 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.; Mathematics, Applied; Mathematics; SCI(E); CPCI-S(ISTP); 10
语种	英语
出处	SCI
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/396657]
专题	数学科学学院
推荐引用方式 GB/T 7714	Carstensen, C.,Hu, Jun. HANGING NODES IN THE UNIFYING THEORY OF A POSTERIORI FINITE ELEMENT ERROR CONTROL. 2009-01-01.

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