Morley type non-\(C^0\) nonconforming rectangular plate finite elements on anisotropic meshes. (English) Zbl 1218.74023
Summary: Two Morley type non-\(C^0\) 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.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74K20 | Plates |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
Keywords:
anisotropic meshes; Morley type nonconforming elements; optimal error estimates; plate bending problemReferences:
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