Cai, Z;
He, C;
Zhang, S;
(2017)
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates.
SIAM Journal on Numerical Analysis
, 55
(1)
pp. 400-418.
10.1137/16M1056171.
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Abstract
For elliptic interface problems in two and three dimensions, this paper studies a priori and residual-based a posteriori error estimations for the Crouzeix–Raviart nonconforming and the discontinuous Galerkin finite element approximations. It is shown that both the a priori and the a posteriori error estimates are robust with respect to the diffusion coefficient, i.e., constants in the error bounds are independent of the jump of the diffusion coefficient. The a priori estimates are also optimal with respect to local regularity of the solution. Moreover, we obtained these estimates with no assumption on the distribution of the diffusion coefficient.
| Type: | Article |
|---|---|
| Title: | Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1137/16M1056171 |
| Publisher version: | http://doi.org/10.1137/16M1056171 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | interface problem, a priori error estimation, a posteriori error estimation, discontinuous Galerkin, nonconforming |
| 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/10028003 |
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