Abstract
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 [1]. 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 [2]. 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.
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Acknowledgement
This work is partially supported by the Bulgarian NSF grant DFNI-I 01/5.
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Andreev, A.B., Racheva, M.R. (2015). On a Type of Nonconforming Morley Rectangular Finite Element. In: Dimov, I., Fidanova, S., Lirkov, I. (eds) Numerical Methods and Applications. NMA 2014. Lecture Notes in Computer Science(), vol 8962. Springer, Cham. https://doi.org/10.1007/978-3-319-15585-2_32
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DOI: https://doi.org/10.1007/978-3-319-15585-2_32
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