Bertoluzza, Silvia;
Burman, Erik;
He, Cuiyu;
(2022)
An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights.
SIAM Journal on Numerical Analysis
, 60
(1)
pp. 475-501.
10.1137/20m1358219.
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Abstract
We derive a residual based a posteriori error estimate for the outer normal flux of approximations to the diffusion problem with variable coefficient. By analyzing the solution of the adjoint problem, we show that error indicators in the bulk may be defined to be of higher order than those close to the boundary, which leads to more economic meshes. The theory is illustrated with some numerical examples.
| Type: | Article |
|---|---|
| Title: | An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1137/20m1358219 |
| Publisher version: | https://doi.org/10.1137/20M1358219 |
| Language: | English |
| Additional information: | This is the published version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | a posteriori error estimate, normal flux, dual weighted residual method |
| UCL classification: | 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 UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10144305 |
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