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The F-E-M-Test for Convergence of Nonconforming Finite Elements

Zhong-ci Shi
Mathematics of Computation
Vol. 49, No. 180 (Oct., 1987), pp. 391-405
DOI: 10.2307/2008318
Stable URL: http://www.jstor.org/stable/2008318
Page Count: 15
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The F-E-M-Test for Convergence of Nonconforming Finite Elements
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Abstract

A new convergence test, the F-E-M-Test, is established for the method of nonconforming finite elements. The F-E-M-Test is simple to apply, it checks only the local properties of shape functions along each interface or on each element. The test is valid for a wide class of nonconforming elements in practical applications.

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