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2019 | OriginalPaper | Chapter

A Cut Cell Hybrid High-Order Method for Elliptic Problems with Curved Boundaries

Authors : Erik Burman, Alexandre Ern

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017

Publisher: Springer International Publishing

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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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previous chapter Modeling Flow and Transport in Fractured Media by a Hybrid Finite Volume: Finite Element Method
next chapter A Cut Finite Element Method with Boundary Value Correction for the Incompressible Stokes Equations
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Metadata
Title
A Cut Cell Hybrid High-Order Method for Elliptic Problems with Curved Boundaries
Authors
Erik Burman
Alexandre Ern
Copyright Year
2019
Book
Numerical Mathematics and Advanced Applications ENUMATH 2017

Print ISBN: 978-3-319-96414-0

Electronic ISBN: 978-3-319-96415-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-96415-7_14

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