Burman, E;
Ern, A;
(2007)
Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations.
Mathematics of Computation
, 76
(259)
pp. 1119-1140.
10.1090/S0025-5718-07-01951-5.
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Abstract
A continuous interior penalty hp-finite element method that penalizes the jump of the gradient of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for advection and advection-diffusion equations. The analysis relies on three technical results that are of independent interest: an hp-inverse trace inequality, a local discontinuous to continuous hp-interpolation result, and hp-error estimates for continuous L2-orthogonal projections.
| Type: | Article |
|---|---|
| Title: | Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations |
| Open access status: | An open access publication |
| DOI: | 10.1090/S0025-5718-07-01951-5 |
| Publisher version: | http://dx.doi.org/10.1068/d14080p10.1090/S0025-571... |
| Language: | English |
| Keywords: | continuous interior penalty, hp-finite element method, convection-diffusion, hp-interpolation and projection, hp-inverse trace inequality |
| 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/1384754 |
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