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A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem

✍ Scribed by Jichun Li; I.M. Navon

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 551 KB
Volume: 38
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(99)00226-6

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✦ Synopsis

In this paper, we construct a bilinear finite element method based on a special piecewise uniform mesh for solving a quasi-linear singularly perturbed elliptic problem in two space dimensions.

A quasi-optimal global uniform convergence rate O(N~ 2 In 2 N= + N~ "2 In 2 Nv) was obtained, which is independent of the perturbation parameter. Here N= and N~ are the number of elements in the x-and y-directions, respectively. (~

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