New High Accuracy Analysis of a Double Set Parameter Nonconforming Element for the Clamped Kirchhoff Plate Unilaterally Constrained by an Elastic Obstacle

Dongyang Shi and Lifang Pei
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Dongyang Shi: School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China
Lifang Pei: School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Mathematics, 2020, vol. 8, issue 11, 1-13

Abstract: In this paper, a non- C 0 double set parameter finite element method is presented for the clamped Kirchhoff plate with an elastic unilateral obstacle. A new high accuracy error estimate with order O ( h 2 ) in the broken energy norm is derived by use of a series of novel approaches, including some special features of the element and an incomplete biquadratic interpolation operator. At the same time, some experimental results are provided to verify the theoretical analysis.

Keywords: elastic obstacle; Kirchhoff plate; non- C 0 FEM; double set parameter method; high accuracy error estimate (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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