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An unfitted hybrid high-order method for the Stokes interface problem

Abstract : We design and analyze a hybrid high-order (HHO) method on unfitted meshes to approximate the Stokes interface problem. The interface can cut through the mesh cells in a very general fashion. A cell-agglomeration procedure prevents the appearance of small cut cells. Our main results are inf-sup stability and a priori error estimates with optimal convergence rates in the energy norm. Numerical simulations corroborate these results.
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https://hal.archives-ouvertes.fr/hal-02519896
Contributor : Guillaume Delay <>
Submitted on : Thursday, March 26, 2020 - 12:36:15 PM
Last modification on : Friday, April 24, 2020 - 5:17:08 PM

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  • HAL Id : hal-02519896, version 1

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Erik Burman, Guillaume Delay, Alexandre Ern. An unfitted hybrid high-order method for the Stokes interface problem. 2020. ⟨hal-02519896⟩

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