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math.NA2024
Geometrical mixed finite element methods for fourth order obstacle problems in linearised elasticity
Paolo Piersanti, Tianyu Sun
This paper is devoted to the study of a novel mixed Finite Element Method for approximating the solutions of fourth order variational problems subjected to a constraint. The first…
math.NA2023
Numerical approximation of the solution of Koiter's model for an elliptic membrane shell subjected to an obstacle via the penalty method
Xin Peng, Paolo Piersanti, Xiaoqin Shen
This paper is devoted to the analysis of a numerical scheme based on the Finite Element Method for approximating the solution of Koiter's model for a linearly elastic elliptic memb…
math.NA2021
Numerical validation of Koiter's model for all the main types of linearly elastic shells in the static case
Wangxi Duan, Paolo Piersanti, Xiaoqin Shen +1
In this paper, we validate the main theorems establishing the justification of Koiter's model, established by Ciarlet and his associates, for all the types of linearly elastic shel…