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A Novel Nonconforming Uniformly Convergent Finite Element Method in Two Dimensions

✍ Scribed by Hans-Görg Roos; Dirk Adam; Andreas Felgenhauer

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
344 KB
Volume
201
Category
Article
ISSN
0022-247X

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✦ Synopsis

We give a new analysis of a nonconforming Galerkin finite element method for solving linear elliptic singularly perturbed boundary value problems for rectangular domains. In the case of ordinary boundary layers the method is shown to be convergent uniformly with respect to the perturbation parameter of order h 1r 2 in the energy norm. The trial functions are exponentials fitted to the differential operator.

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