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C0Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains

โœ Scribed by Susanne C. Brenner; Li-Yeng Sung


Book ID
106421160
Publisher
Springer US
Year
2005
Tongue
English
Weight
288 KB
Volume
22-23
Category
Article
ISSN
0885-7474

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Fourth-order compact finite difference m
โœ Yuan-Ming Wang; Ben-Yu Guo ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 638 KB

A compact finite difference method with non-isotropic mesh is proposed for a two-dimensional fourth-order nonlinear elliptic boundary value problem. The existence and uniqueness of its solutions are investigated by the method of upper and lower solutions, without any requirement of the monotonicity