A robust nonconforming H-2-element
Author
Nilssen, Trygve K.
Tai, Xue Cheng
Winther, Ragnar
Date of Issue
2000School
School of Physical and Mathematical Sciences
Version
Published version
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.
Rights
Mathematics of Computation © copyright 2000 American Mathematical Society. The journal's website is located at http://www.ams.org/mcom/.
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http://dx.doi.org/10.1090/S0025-5718-00-01230-8
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