奥森问题的局部投影稳定 HHO 方法

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2024-10-24 DOI:10.1016/j.camwa.2024.10.030

Gouranga Mallik , Rahul Biswas , Thirupathi Gudi

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引用次数: 0

摘要

在本文中，我们考虑了奥森问题的混合高阶（HHO）近似的局部投影稳定问题。我们证明了更强 SUPG 类规范下的存在唯一性结果。我们提高了对流主导奥森问题的稳定性，并提供了更强规范下的误差估计。我们还为速度和压力空间的等阶多项式离散化推导出了 SUPG 类规范下的最优阶误差估计。我们进行了数值实验来验证理论结果。

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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A local projection stabilised HHO method for the Oseen problem

In this article, we consider a local projection stabilisation for a Hybrid High-Order (HHO) approximation of the Oseen problem. We prove an existence-uniqueness result under a stronger SUPG-like norm. We improve the stability and provide error estimation in stronger norm for convection dominated Oseen problem. We also derive an optimal order error estimate under the SUPG-like norm for equal-order polynomial discretisation of velocity and pressure spaces. Numerical experiments are performed to validate the theoretical results.

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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).