Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions

作者:

Highlights:

• A novel finite element method enriched by interpolation cover functions is developed for transient wave analysis.

• The potential linear dependence (LD) problem has been completely removed.

• Higher order interpolation can be achieved without adding additional nodes.

• The proposed method posses ses the mon otonic convergence property with the decreasing time steps.

• The numeric al dispersion error can be significantly suppressed.

摘要

•A novel finite element method enriched by interpolation cover functions is developed for transient wave analysis.•The potential linear dependence (LD) problem has been completely removed.•Higher order interpolation can be achieved without adding additional nodes.•The proposed method posses ses the mon otonic convergence property with the decreasing time steps.•The numeric al dispersion error can be significantly suppressed.

论文关键词:Wave propagation,Interpolation cover functions,Time integration,Enriched finite elements,Numerical methods

论文评审过程:Received 12 October 2020, Revised 3 July 2021, Accepted 27 July 2021, Available online 12 August 2021, Version of Record 12 August 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126564