Some remarks concerning stabilization techniques for convection--diffusion problems

Brandner, Marek; Knobloch, Petr

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 35-46

Abstract

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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.

How to cite

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Brandner, Marek, and Knobloch, Petr. "Some remarks concerning stabilization techniques for convection--diffusion problems." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2019. 35-46. <http://eudml.org/doc/294894>.

@inProceedings{Brandner2019,
abstract = {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.},
author = {Brandner, Marek, Knobloch, Petr},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {convection; diffusion; stabilization; finite element method; finite volume method; finite difference method},
location = {Prague},
pages = {35-46},
publisher = {Institute of Mathematics CAS},
title = {Some remarks concerning stabilization techniques for convection--diffusion problems},
url = {http://eudml.org/doc/294894},
year = {2019},
}

TY - CLSWK
AU - Brandner, Marek
AU - Knobloch, Petr
TI - Some remarks concerning stabilization techniques for convection--diffusion problems
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2019
CY - Prague
PB - Institute of Mathematics CAS
SP - 35
EP - 46
AB - 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.
KW - convection; diffusion; stabilization; finite element method; finite volume method; finite difference method
UR - http://eudml.org/doc/294894
ER -

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