Mallik, G and Biswas, R and Gudi, T (2024) A local projection stabilised HHO method for the Oseen problem. In: Computers and Mathematics with Applications, 176 . pp. 202-220.
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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. © 2024 Elsevier Ltd
| Item Type: | Journal Article |
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| Publication: | Computers and Mathematics with Applications |
| Publisher: | Elsevier Ltd |
| Additional Information: | The copyright for this article belongs to the authors. |
| Keywords: | High-order; High-order methods; Higher-order; Higher-order approximation; Higher-order methods; Hybrid high-order; Local projection stabilization; Local projection stabilizations; Local projections; Oseen problem |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 19 Nov 2024 18:47 |
| Last Modified: | 19 Nov 2024 18:47 |
| URI: | http://eprints.iisc.ac.in/id/eprint/86742 |
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