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Global compactness for a class of quasi-linear elliptic problems

โœ Scribed by Carlo Mercuri, Marco Squassina


Book ID
120759501
Publisher
Springer
Year
2012
Tongue
English
Weight
286 KB
Volume
140
Category
Article
ISSN
0025-2611

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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