Conforming finite element methods for two-dimensional linearly elastic shallow shell and clamped plate models

作者：

Highlights：

• Numerical algorithms: Design efficient numerical methods for a novel linearly elastic shallow shell and clamped plate models, which could describe 3D problem by a 2D approximation.

• Numerical analyses: Existence, uniqueness and convergence of numerical solutions.

• Numerical experiments: Paraboloid shell, cylindrical shell and circular plate, rectangular plat.

摘要

•Numerical algorithms: Design efficient numerical methods for a novel linearly elastic shallow shell and clamped plate models, which could describe 3D problem by a 2D approximation.•Numerical analyses: Existence, uniqueness and convergence of numerical solutions.•Numerical experiments: Paraboloid shell, cylindrical shell and circular plate, rectangular plat.

论文关键词：Shallow shell,Clamped plate,Conforming finite element,Convergence

论文评审过程：Received 22 November 2021, Revised 26 March 2022, Accepted 15 May 2022, Available online 23 May 2022, Version of Record 23 May 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127259