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Article

Brandner, Marek ; Knobloch, Petr
Some remarks concerning stabilization techniques for convection--diffusion problems. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 35-46
MSC: 65M06, 65M08, 65M12, 65M60, 65N06, 65N08, 65N12, 65N30, 76Rxx | DOI: 10.21136/panm.2016.04
Keywords:
convection; diffusion; stabilization; finite element method; finite volume method; finite difference method
Summary:
There are many methods and approaches to solving convection--diffusion problems. For those who want to solve such problems the situation is very confusing and it is very difficult to choose the right method. The aim of this short overview is to provide basic guidelines and to mention the common features of different methods. We place particular emphasis on the concept of linear and non-linear stabilization and its implementation within different approaches.
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