Mallik, Gouranga ; Biswas, Rahul ; Gudi, Thirupathi (2024) A local projection stabilised HHO method for the Oseen problem Computers & Mathematics with Applications, 176 . pp. 202-220. ISSN 0898-1221
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Official URL: https://doi.org/10.1016/j.camwa.2024.10.030
Related URL: http://dx.doi.org/10.1016/j.camwa.2024.10.030
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 141605 |
| Deposited On: | 02 Dec 2025 07:37 |
| Last Modified: | 02 Dec 2025 07:37 |
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