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A uniformly convergent method for a singularly perturbed semilinear reaction--diffusion problem with multiple solutions

✍ Scribed by Sun, Guangfu; Stynes, Martin


Book ID
118251690
Publisher
American Mathematical Society
Year
1996
Tongue
English
Weight
410 KB
Volume
65
Category
Article
ISSN
0025-5718

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A global uniformly convergent finite ele
✍ Jichun Li; I.M. Navon πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 551 KB

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