Properties of the multidimensional finite elements
作者：
Highlights：
• This paper is devoted to the properties of the n-dimensional simplicial elements.
• The rate of divergence of sequences of simplicial classes is proved.
• A comparison between known simplicial classes and classes obtained by the authors is presented and it is described how one class could be obtained from the others.
• The paper clarify how the shape of the simplices impact on the contraction number in the multilevel methods.
摘要
•This paper is devoted to the properties of the n-dimensional simplicial elements.•The rate of divergence of sequences of simplicial classes is proved.•A comparison between known simplicial classes and classes obtained by the authors is presented and it is described how one class could be obtained from the others.•The paper clarify how the shape of the simplices impact on the contraction number in the multilevel methods.
论文关键词：Measure of degeneracy,Congruence classes,Refinement strategies,Contraction number,Rate of divergence
论文评审过程：Received 19 March 2020, Revised 15 September 2020, Accepted 20 September 2020, Available online 5 October 2020, Version of Record 5 October 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125695
