A local projection stabilised HHO method for the Oseen problem

被引：0
作者：
Mallik, Gouranga [1 ]
Biswas, Rahul [2 ]
Gudi, Thirupathi [2 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, India
[2] Indian Inst Sci, Dept Math, Bangalore 560012, India
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2024年 / 176卷
关键词：
Oseen problem; Local Projection Stabilisation (LPS); Hybrid High-Order (HHO); HYBRID HIGH-ORDER; FINITE-ELEMENT-METHOD; DISCONTINUOUS-SKELETAL METHOD; ADVECTION-DIFFUSION-REACTION; LINEAR ELASTICITY; DIFFERENCE METHOD; ELLIPTIC PROBLEMS; GENERAL MESHES; STOKES; GALERKIN;
D O I：
10.1016/j.camwa.2024.10.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：202 / 220
页数：19
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