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Morley type non‐C0 nonconforming rectangular plate finite elements on anisotropic meshes
Authors:Dongyang Shi  Pingli Xie
Institution:1. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People's Republic of China;2. School of Mathematical Sciences, Fudan University, Shanghai 200433, People's Republic of China
Abstract:In this article, two Morley type non‐C0 nonconforming rectangular finite elements are discussed to numerically solve the fourth order plate bending problem under anisotropic meshes. The optimal anisotropic interpolation error and consistency error estimates are obtained by using some novel approaches. Some numerical tests are given to confirm the theoretical analysis. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010
Keywords:anisotropic meshes  Morley type nonconforming elements  optimal error estimates  plate bending problem
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