Robust Falk-Neilan Finite Elements for the Reissner-Mindlin Plate

doi:10.1007/s42967-023-00266-w

摘要/Abstract

摘要： The family of Falk-Neilan P_k finite elements, combined with the Argyris P_k+1 finite elements, solves the Reissner-Mindlin plate equation quasi-optimally and locking-free, on triangular meshes. The method is truly conforming or consistent in the sense that no projection/reduction is introduced. Theoretical proof and numerical confirmation are presented.

关键词: Locking free, Reissner-Mindlin equation, Finite element, Triangular grids

Abstract: The family of Falk-Neilan P_k finite elements, combined with the Argyris P_k+1 finite elements, solves the Reissner-Mindlin plate equation quasi-optimally and locking-free, on triangular meshes. The method is truly conforming or consistent in the sense that no projection/reduction is introduced. Theoretical proof and numerical confirmation are presented.

Key words: Locking free, Reissner-Mindlin equation, Finite element, Triangular grids

中图分类号:

65N15
65N30

Shangyou Zhang. Robust Falk-Neilan Finite Elements for the Reissner-Mindlin Plate[J]. Communications on Applied Mathematics and Computation, 2023, 5(4): 1697-1712.

参考文献

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