A cut-cell Hybrid High-Order method for elliptic problems with curved boundaries

Abstract : We design a Hybrid High-Order method for elliptic problems on curved domains. The method uses a cut cell technique for the representation of the curved boundary and imposes Dirichlet boundary conditions using Nitsche's method. The physical boundary can cut through the cells in a very general fashion and the method leads to optimal error estimates in the H1-norm.
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Erik Burman, Alexandre Ern. A cut-cell Hybrid High-Order method for elliptic problems with curved boundaries. ENUMATH 2017, Sep 2017, Bergen, Norway. ⟨10.1007/978-3-319-96415-7_46⟩. ⟨hal-01653685v2⟩

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