UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems

Burman, E; Guzman, J; Sanchez, MA; Sarkis, M; (2018) Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems. IMA Journal of Numerical Analysis , 38 (2) pp. 646-668. 10.1093/imanum/drx017. Green open access

[thumbnail of PAPER_BGSS_2016_Arxiv.pdf]
Preview
Text
PAPER_BGSS_2016_Arxiv.pdf - Accepted Version

Download (1MB) | Preview

Abstract

We prove an optimal error estimate for the flux variable for a stabilized unfitted Nitsche finite element method applied to an elliptic interface problem with discontinuous constant coefficients. Our result shows explicitly that this error estimate is totally independent of the diffusion coefficients.

Type: Article
Title: Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/imanum/drx017
Publisher version: https://doi.org/10.1093/imanum/drx017
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: interface problems, high contrast, unfitted Nitsche method, finite elements
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1521125
Downloads since deposit
51Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item