File(s) not publicly available
A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection-diffusion equations
journal contribution
posted on 2023-06-07, 19:14 authored by L El Alaoui, A Ern, E BurmanWe analyse a non-conforming finite-element method to approximate advectiondiffusionreaction equations. The method is stabilized by penalizing the jumps of the solution and those of its advective derivative across mesh interfaces. The a priori error analysis leads to (quasi-)optimal estimates in the mesh size (sub-optimal by order in the L2-norm and optimal in the broken graph norm for quasi-uniform meshes) keeping the Pclet number fixed. Then, we investigate a residual a posteriori error estimator for the method. The estimator is semi-robust in the sense that it yields lower and upper bounds of the error which differ by a factor equal at most to the square root of the Pclet number. Finally, to illustrate the theory we present numerical results including adaptively generated meshes.
History
Publication status
- Published
Journal
IMA Journal of Numerical AnalysisISSN
0272-4979Publisher
Oxford University PressExternal DOI
Issue
1Volume
27Page range
151-171Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC