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arXiv · 2402.02727

A Local Projection Stabilised HHO Method for the Oseen Problem

Gouranga Mallik·Rahul Biswas·Thirupathi Gudi
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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.

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Gouranga Mallik, Rahul Biswas, Thirupathi Gudi. 2024-10-24. A Local Projection Stabilised HHO Method for the Oseen Problem. https://arxiv.org/abs/2402.02727

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