The unfitted HHO method for the Stokes problem on curved domains

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-02438622
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Submitted on : Tuesday, January 14, 2020 - 12:04:34 PM
Last modification on : Friday, January 17, 2020 - 1:36:07 AM

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  • HAL Id : hal-02438622, version 1

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Erik Burman, Guillaume Delay, Alexandre Ern. The unfitted HHO method for the Stokes problem on curved domains. 2020. ⟨hal-02438622⟩

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