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On a type of nonconforming Morley rectangular finite element. (English) Zbl 1358.74054

Dimov, Ivan (ed.) et al., Numerical methods and applications. 8th international conference, NMA 2014, Borovets, Bulgaria, August 20–24, 2014. Revised selected papers. Berlin: Springer (ISBN 978-3-319-15584-5/pbk). Lecture Notes in Computer Science 8962, 287-294 (2015).
Summary: In the recent years, the constriction, analysis and application of nonconforming finite elements have been an active research area. So, for fourth-order elliptic problems conforming finite element methods (FEMs) require \(C^1\)-continuity, which usually leads to complicated implementation [P. G. Ciarlet, in: Handbook of numerical analysis. Volume II: Finite element methods (Part 1). Amsterdam etc.: North-Holland. 17–351 (1991; Zbl 0875.65086)]. This drawback could be surmounted by using nonconforming methods. These FEMs have been widely applied in computational engineering and structural mechanics.{
}This paper deals with rectangular variants of the Morley finite elements [H. Zhang and M. Wang, The mathematical theory of finite elements. Beijing: Science Press (1991)]. Beside Adini nonconforming finite element, they can be used for plates with sides parallel to the coordinate axes, such as rectangular plates.{
}The applicability of different types of Morley rectangles applied for fourth-order problems is also discussed. Numerical implementation and results applied to plate bending problem illustrate the presented investigation.
For the entire collection see [Zbl 1335.65002].

MSC:

74S05 Finite element methods applied to problems in solid mechanics

Citations:

Zbl 0875.65086
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