A Local Projection Stabilised HHO Method for the Oseen Problem
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909361123622912 |
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| author | Mallik, Gouranga Biswas, Rahul Gudi, Thirupathi |
| author_facet | Mallik, Gouranga Biswas, Rahul Gudi, Thirupathi |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_02727 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Local Projection Stabilised HHO Method for the Oseen Problem Mallik, Gouranga Biswas, Rahul Gudi, Thirupathi Numerical Analysis 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. |
| title | A Local Projection Stabilised HHO Method for the Oseen Problem |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2402.02727 |