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C*-convergence in the finite element method

✍ Scribed by B. Bigdeli; D. W. Kelly

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 233 KB
Volume: 40
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19971215)40:23<4405::aid-nme267>3.0.co;2-k

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✦ Synopsis

In this paper a family of higher-order quadrilaterals for the finite element analysis of plane elasticity problems are developed, using the displacement method formulation. The number of nodes and the number of elements are fixed, and refinement is achieved by adding derivatives of the nodal displacements as degrees of freedom at the nodes. It is shown that a higher rate of convergence is achieved compared with existing h-and p-versions of the finite element method. Applications to stress concentration and stress singularity are presented and the condition number is checked.

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