Convergence of the C* family of finite elements and problems associated with forcing continuity of the derivatives at the nodes

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	Structural Engineering and Mechanics Volume 7, Number 6, June 1999, pages 561-573 DOI: https://doi.org/10.12989/sem.1999.7.6.561
	Convergence of the C* family of finite elements and problems associated with forcing continuity of the derivatives at the nodes
	Bigdeli B, Kelly DW
Abstract [Buy Article]
	A C-convergence algorithm for finite element analysis has been proposed by Bigdeli and Kelly (1997) and elements for the first three levels applied to planar elasticity have been defined. The fourth level element for the new family is described in this paper and the rate of convergence for the C-convergence algorithm is investigated numerically. The new family adds derivatives of displacements as nodal variables and the number of nodes and elements can therefore be kept constant during refinement. A problem exists on interfaces where the derivatives are required to be discontinuous. This problem is addressed for curved boundaries and a procedure is suggested to resolve the excessive interelement continuity which occurs.
Key Words
	stress analysis, the finite element method, nodal degrees of freedom, C*-convergence
Address
	Bigdeli B, Univ New S Wales, Sch Mech & Mfg Engn, Sydney, NSW 2052, Australia Univ New S Wales, Sch Mech & Mfg Engn, Sydney, NSW 2052, Australia