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Uniformly convergent finite difference methods for singularly perturbed problems with turning points

โœ Scribed by Carmelo Clavero; Francisco Lisbona


Publisher
Springer US
Year
1993
Tongue
English
Weight
809 KB
Volume
4
Category
Article
ISSN
1017-1398

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A global uniformly convergent finite ele
โœ Jichun Li; I.M. Navon ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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