Morley type non‐C0 nonconforming rectangular plate finite elements on anisotropic meshes |
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Authors: | Dongyang Shi Pingli Xie |
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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 |
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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 |
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Keywords: | anisotropic meshes Morley type nonconforming elements optimal error estimates plate bending problem |
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