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A Uniformly Accurate Finite Element Method for a Singular Perturbation Problem in Conservative Form

✍ Scribed by Stynes, Martin; O’Riordan, Eugene

Book ID
118187377
Publisher
Society for Industrial and Applied Mathematics
Year
1986
Tongue
English
Weight
565 KB
Volume
23
Category
Article
ISSN
0036-1429

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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 ind