具有有效局部保守通量重建的二维偶阶边缘非协调有限元族

IF 2.5 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-07-21 DOI:10.1016/j.camwa.2025.07.024

Gwanghyun Jo , Hyeokjoo Park

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引用次数: 0

摘要

本文提出了一种新的二维面向边的偶阶非协调有限元族。与现有的边缘不协调单元相比，所提出的单元具有更小的自由度，并且保留了Crouzeix-Raviart单元的一些吸引人的特性，如最优逼近能力和中频稳定性。我们还提出了一个有效的H(div)-符合通量重建的有限元离散单元，这是可能的，由于其边缘取向的自由度。

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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A family of even-order edge-oriented nonconforming finite elements in 2D with efficient locally conservative flux reconstruction

In this paper, we propose a new family of edge-oriented even-order nonconforming finite elements in 2D. The proposed element has fewer degrees of freedom compared to the existing edge-oriented nonconforming elements, and preserves some attractive properties of the Crouzeix-Raviart element, such as the optimal approximation capability and the inf-sup stability. We also present an efficient

H (div)

-conforming flux reconstruction for the finite element discretization by the proposed element, which is possible due to its edge-oriented degrees of freedom.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).