He, C;
Zhang, X;
(2019)
Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods.
Journal of Scientific Computing
, 81
(3)
pp. 2051-2079.
10.1007/s10915-019-01071-5.
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Abstract
In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast.
| Type: | Article |
|---|---|
| Title: | Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s10915-019-01071-5 |
| Publisher version: | https://doi.org/10.1007/s10915-019-01071-5 |
| Language: | English |
| Additional information: | © 2019 Springer Nature. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Immersed finite element methods, A posteriori error estimation, Interface problems, Residual-based |
| 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 |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10091503 |
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