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Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements

Cai, Z; He, C; Zhang, S; (2016) Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements. Mathematics of Computation , 86 (304) pp. 617-636. 10.1090/mcom/3151. Green open access

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Abstract

In this paper, we study a modified residual-based a posteriori error estimator for the nonconforming linear finite element approximation to the interface problem. The reliability of the estimator is analyzed by a new and direct approach without using the Helmholtz decomposition. It is proved that the estimator is reliable with constant independent of the jump of diffusion coefficients across the interfaces, without the assumption that the diffusion coefficient is quasi-monotone. Numerical results for one test problem with intersecting interfaces are also presented.

Type: Article
Title: Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements
Open access status: An open access version is available from UCL Discovery
DOI: 10.1090/mcom/3151
Publisher version: http://doi.org/10.1090/mcom/3151
Language: English
Additional information: © 2016 American Mathematical Society. This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
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.ucl.ac.uk/id/eprint/10044440
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