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Convergence Analysis of a Multiscale Finite Element Method for Singularly Perturbed Problems

✍ Scribed by Franca, Leopoldo P.; Madureira, Alexandre L.; Tobiska, Lutz; Valentin, Frédéric

Book ID
118211656
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
879 KB
Volume
4
Category
Article
ISSN
1540-3459

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✍ Jichun Li; I.M. Navon 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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