Paola F. Antonietti
A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems
Antonietti, Paola F.; Houston, Paul
Authors
Professor PAUL HOUSTON PAUL.HOUSTON@NOTTINGHAM.AC.UK
PROFESSOR OF COMPUTATIONAL AND APPLIED MATHS
Abstract
We propose a pre-processing mesh re-distribution algorithm based upon harmonic maps employed in conjunction with discontinuous Galerkin approximations of advection-diffusion-reaction problems. Extensive two-dimensional numerical experiments with different choices of monitor functions, including monitor functions derived from goal-oriented a posteriori error indicators are presented. The examples presented clearly demonstrate the capabilities and the benefits of combining our pre-processing mesh movement algorithm with both uniform, as well as, adaptive isotropic and anisotropic mesh refinement.
Citation
Antonietti, P. F., & Houston, P. A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems. Manuscript submitted for publication
Journal Article Type | Article |
---|---|
Deposit Date | Jan 11, 2008 |
Peer Reviewed | Not Peer Reviewed |
Public URL | https://nottingham-repository.worktribe.com/output/1025919 |
Files
AntoniettiHouston.pdf
(2 Mb)
PDF
You might also like
Lubrication flow in grinding
(2024)
Journal Article
Linearization of the Travel Time Functional in Porous Media Flows
(2022)
Journal Article
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: discovery-access-systems@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search