扩散-对流-反应问题的 CIP 稳定虚拟元素

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

IMA Journal of Numerical Analysis Pub Date : 2024-05-31 DOI:10.1093/imanum/drae020

L Beirão da Veiga, C Lovadina, M Trezzi

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引用次数: 0

摘要

研究考虑了针对扩散-对流-反应问题的虚拟元素法（VEM）。为了在对流主导机制中也能设计出准稳健的方案，采用了连续内部惩罚法。由于存在多项式投影算子（VEM 的典型特征），稳定性和误差分析需要特别小心，尤其是在处理平流项时。本文介绍了一些数值测试，以支持理论结果。

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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CIP-stabilized virtual elements for diffusion-convection-reaction problems

The Virtual Element Method (VEM) for diffusion-convection-reaction problems is considered. In order to design a quasi-robust scheme also in the convection-dominated regime, a Continuous Interior Penalty approach is employed. Due to the presence of polynomial projection operators, typical of the VEM, the stability and the error analysis requires particular care—especially in treating the advective term. Some numerical tests are presented to support the theoretical results.

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来源期刊

IMA Journal of Numerical Analysis 数学-应用数学

CiteScore

5.30

自引率

4.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The IMA Journal of Numerical Analysis (IMAJNA) publishes original contributions to all fields of numerical analysis; articles will be accepted which treat the theory, development or use of practical algorithms and interactions between these aspects. Occasional survey articles are also published.