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Journal Articles IMA Journal of Numerical Analysis Year : 2021

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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Dates and versions

hal-02519896 , version 1 (26-03-2020)
hal-02519896 , version 2 (09-07-2020)
hal-02519896 , version 3 (16-07-2020)
hal-02519896 , version 4 (22-01-2021)

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Cite

Erik Burman, Guillaume Delay, Alexandre Ern. An unfitted Hybrid High-Order method for the Stokes interface problem. IMA Journal of Numerical Analysis, 2021, 41 (4), pp.2362-2387. ⟨10.1093/imanum/draa059⟩. ⟨hal-02519896v4⟩
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