Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/91499
Title: A robust nonconforming H-2-element
Authors: Nilssen, Trygve K.
Tai, Xue Cheng
Winther, Ragnar
Keywords: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
Issue Date: 2000
Source: Nilssen, T. K., Tan, X. C., & Winther R.(2000). A robust nonconforming H-2-element. Mathematics of Computation, 70(234), 489-505.
Series/Report no.: Mathematics of Computation.
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.
URI: https://hdl.handle.net/10356/91499
http://hdl.handle.net/10220/6056
ISSN: 0025-5718
DOI: 10.1090/S0025-5718-00-01230-8
Rights: Mathematics of Computation © copyright 2000 American Mathematical Society. The journal's website is located at http://www.ams.org/mcom/.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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