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.
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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 |
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