A robust nonconforming H-2-element

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A robust nonconforming H-2-element

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Title: A robust nonconforming H-2-element
Author: Nilssen, Trygve K.; Tai, Xue Cheng; Winther, Ragnar
Copyright year: 2000
Abstract: Finite element methods for some elliptic fourth order singular perturbation problems are discussed. We show that if such problems are discretized by the nonconforming Morley method, in a regime close to second order elliptic equations, then the error deteriorates. In fact, a counterexample is given to show that the Morley method diverges for the reduced second order equation. As an alternative to the Morley element we propose to use a nonconforming H-2-element which is H-1-conforming. We show that the new finite element method converges in the energy norm uniformly in the perturbation parameter.
Subject: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis.
Type: Journal Article
Series/ Journal Title: Mathematics of Computation.
School: School of Physical and Mathematical Sciences
Rights: Mathematics of Computation © copyright 2000 American Mathematical Society. The journal's website is located at http://www.ams.org/mcom/.
Version: Published version

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