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Time-accurate solution of stabilized convection-difusion-reaction equations: I - time and space discretization

Author
Huerta, A.; Donea, J.
Type of activity
Journal article
Journal
Communications in numerical methods in engineering
Date of publication
2002-08
Volume
18
Number
8
First page
565
Last page
573
DOI
https://doi.org/10.1002/cnm.517 Open in new window
Repository
http://hdl.handle.net/2117/8473 Open in new window
Abstract
The paper addresses the development of time-accurate methods for solving transient convection-diffusion-reaction problems using finite elements. Multi-stage time-stepping schemes of high accuracy are used. They are first combined with a Galerkin formulation to briefly recall the time-space discretization. Then spatial stabilization techniques are combined with high-order time-stepping schemes. Moreover, a least-squares formulation is also developed for these high-order time schemes combined with...
Citation
Huerta, A.; Donea, J. Time-accurate solution of stabilized convection-difusion-reaction equations: I - time and space discretization. "Communications in numerical methods in engineering", Agost 2002, vol. 18, núm. 8, The definitive version is available at http://www3.interscience.wiley.com/journal/93520031/abstract, p. 565-573.
Keywords
convection-diffusion-reaction, finite element method, least squares, stabilization, time-stepping schemes
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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