A Local Projection Stabilised HHO Method for the Oseen Problem
Numerical Analysis
2024-10-25 v2 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2402.02727,
title = {A Local Projection Stabilised HHO Method for the Oseen Problem},
author = {Gouranga Mallik and Rahul Biswas and Thirupathi Gudi},
journal= {arXiv preprint arXiv:2402.02727},
year = {2024}
}