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      A robust nonconforming H-2-element

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      Published version (233.4Kb)
      Author
      Nilssen, Trygve K.
      Tai, Xue Cheng
      Winther, Ragnar
      Date of Issue
      2000
      School
      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://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:ELSEVIER_SCOPUS&id=doi:&genre=&isbn=&issn=&date=2001&volume=70&issue=234&spage=489&epage=505&aulast=Nilssen&aufirst=%20T%20K&auinit=&title=Mathematics%20of%20Computation&atitle=A%20robust%20nonconforming%20H.
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      http://dx.doi.org/10.1090/S0025-5718-00-01230-8
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