Burman, E;
(2014)
Robust error estimates in weak norms for advection dominated transport problems with rough data.
Mathematical Models & Methods in Applied Sciences
, 24
(13)
, Article 2663. 10.1142/S021820251450033X.
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Abstract
We consider transient convection–diffusion equations with a velocity vector field with multiscale character and rough data. We assume that the velocity field has two scales, a coarse scale with slow spatial variation, which is responsible for advective transport and a fine scale with small amplitude that contributes to the mixing. For this problem we consider the estimation of filtered error quantities for solutions computed using a finite element method with symmetric stabilization. A posteriori error estimates and a priori error estimates are derived using the multiscale decomposition of the advective velocity to improve stability. All estimates are independent both of the Péclet number and of the regularity of the exact solution. Read More: http://www.worldscientific.com/doi/abs/10.1142/S021820251450033X
| Type: | Article |
|---|---|
| Title: | Robust error estimates in weak norms for advection dominated transport problems with rough data |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1142/S021820251450033X |
| Publisher version: | http://dx.doi.org/10.1142/S021820251450033X |
| Language: | English |
| Additional information: | After an embargo of 12 months, you may post the accepted author manuscript on your personal website, your institutional or subject repositories of your own choice or as stipulated by the Funding Agency. Please provide the following acknowledgement: After an embargo of 12 months, you may post the accepted author manuscript on your personal website, your institutional or subject repositories of your own choice or as stipulated by the Funding Agency. Please provide the following acknowledgement: Electronic version of an article published as [Journal, Volume, Issue, Year, Pages] [Article DOI] © [copyright World Scientific Publishing Company] [Journal URL] Mathematical Models and Methods in Applied Sciences, 24, 13, 2014, 2663] [DOI 10.1142/S021820251450033X] © [copyright World Scientific Publishing Company] [http://www.worldscientific.com/worldscinet/m3as] |
| Keywords: | Passive transport, convection-diffusion, stabilized finite element method, error estimates |
| 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/1470710 |
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