Fictitious domain method with boundary value correction using penalty-free Nitsche method

Boiveau, Thomas, Burman, Erik, Claus, Susanne ORCID: https://orcid.org/0000-0001-9014-5278 and Larson, Mats G. 2018. Fictitious domain method with boundary value correction using penalty-free Nitsche method. Journal of Numerical Mathematics 26 (2) , pp. 77-95. 10.1515/jnma-2016-1103

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Abstract

In this paper, we consider a fictitious domain approach based on a Nitsche type method without penalty. To allow for high order approximation using piecewise affine approximation of the geometry we use a boundary value correction technique based on Taylor expansion from the approximate to the physical boundary. To ensure stability of the method a ghost penalty stabilization is considered in the boundary zone. We prove optimal error estimates in the H1-norm and estimates suboptimal by

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	De Gruyter
ISSN:	1569-3953
Related URLs:	Publisher
Date of Acceptance:	7 March 2017
Last Modified:	25 Oct 2022 13:39
URI:	https://orca.cardiff.ac.uk/id/eprint/120429

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