An unfitted hybrid high-order method for the Stokes interface problem-Reference-Cited by-同舟云学术

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

Published:2020-09-12 Issue:4 Volume:41 Page:2362-2387
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Burman Erik¹,Delay Guillaume²,Ern Alexandre³

Affiliation:

1. Department of Mathematics, University College London, London WC1E 6BT, UK

2. Sorbonne Université, CNRS, Université de Paris, LJLL, F-75005 Paris, France and Université Paris-Est, CERMICS (ENPC) and INRIA, Paris, France

3. CERMICS, Ecole des Ponts, 77455 Marne-la-Vallée cedex 2, France and INRIA, Paris, France

Abstract

Abstract We design and analyze a hybrid high-order 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.

Funder

EPSRC

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

http://academic.oup.com/imajna/article-pdf/41/4/2362/40757983/draa059.pdf

Reference36 articles.

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3. Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces;Barrett;IMA J. Numer. Anal.,1987