We design a hybrid high-order (HHO) method to approximate the Stokes problem on curved domains using unfitted meshes. We prove inf-sup stability and a priori estimates with optimal convergence rates. Moreover, we provide numerical simulations that corroborate the theoretical convergence rates. A cell-agglomeration procedure is used to prevent the appearance of small cut cells.
CITATION STYLE
Burman, E., Delay, G., & Ern, A. (2021). The Unfitted HHO Method for the Stokes Problem on Curved Domains. In Lecture Notes in Computational Science and Engineering (Vol. 139, pp. 389–397). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-55874-1_38
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