Primal hybrid finite element method for the linear elasticity problem

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摘要

In this manuscript, we study a primal hybrid finite element method for two dimensional linear elasticity problem. We derive a priori error estimates for both primal and hybrid variables. The rate of convergence of the method is independent of the Lamé parameters, which illustrates the robustness of the method. Numerical experiments are presented to validate the theoretical findings.

论文关键词:Linear elasticity,Primal hybrid,Generalized nonconforming method,Nonconforming finite elements,Hybrid finite elements

论文评审过程:Received 16 July 2021, Revised 1 July 2022, Accepted 1 August 2022, Available online 17 August 2022, Version of Record 17 August 2022.

论文官网地址:https://doi.org/10.1016/j.amc.2022.127462