Two one-parameter families of nonconforming enrichments of the Crouzeix–Raviart finite element

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-06-04 DOI:10.1016/j.apnum.2024.05.023
Federico Nudo
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Abstract

In this paper, we introduce two one-parameter families of quadratic polynomial enrichments designed to enhance the accuracy of the classical Crouzeix–Raviart finite element. These enrichments are realized by using weighted line integrals as enriched linear functionals and quadratic polynomial functions as enrichment functions. To validate the effectiveness of our approach, we conduct numerical experiments that confirm the improvement achieved by the proposed method.

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克鲁泽克-拉维亚特有限元的两个单参数非顺应富集族
本文介绍了两个单参数二次多项式富集族,旨在提高经典 Crouzeix-Raviart 有限元的精度。这些富集是通过使用加权线积分作为富集线性函数和二次多项式函数作为富集函数来实现的。为了验证我们方法的有效性,我们进行了数值实验,证实了所提方法实现的改进。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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