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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 H 1-norm.
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https://hal.archives-ouvertes.fr/hal-01653685
Contributor : Alexandre Ern <>
Submitted on : Friday, December 1, 2017 - 5:18:50 PM
Last modification on : Tuesday, December 18, 2018 - 1:19:08 AM

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  • HAL Id : hal-01653685, version 1

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Erik Burman, Alexandre Ern. A cut-cell Hybrid High-Order method for elliptic problems with curved boundaries. 2017. ⟨hal-01653685v1⟩

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