A robust nonconforming H-2-element
Nilssen, Trygve K.
Tai, Xue Cheng
Date of Issue2000
School of Physical and Mathematical Sciences
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.
DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
Mathematics of Computation.
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