HOMOGENIZATION OF THE TRANSPORT EQUATION DESCRIBING CONVECTION-DIFFUSION PROCESSES IN A MATERIAL WITH FINE PERIODIC STRUCTURE
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F23%3A00369287" target="_blank" >RIV/68407700:21110/23:00369287 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.21136/panm.2022.22" target="_blank" >https://doi.org/10.21136/panm.2022.22</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/panm.2022.22" target="_blank" >10.21136/panm.2022.22</a>
Alternative languages
Result language
angličtina
Original language name
HOMOGENIZATION OF THE TRANSPORT EQUATION DESCRIBING CONVECTION-DIFFUSION PROCESSES IN A MATERIAL WITH FINE PERIODIC STRUCTURE
Original language description
In the present contribution we discuss mathematical homoge- nization and numerical solution of the elliptic problem describing convection- diusion processes in a material with ne periodic structure. Transport pro- cesses such as heat conduction or transport of contaminants through porous media are typically associated with convection-diusion equations. It is well known that the application of the classical Galerkin nite element method is in- appropriate in this case since the discrete solution is usually globally aected by spurious oscillations. Therefore, great care should be taken in develop- ing stable numerical formulations. We describe a variational principle for the convection-diusion problem with rapidly oscillating coecients and formulate the corresponding homogenization results. Further, based on the variational principle, we derive a stable numerical scheme for the corresponding homog- enized problem. A numerical example will be solved to illustrate the overall performance of the proposed method.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
PANM 21: Proceedings of 21st conference, Janov nad Nisou, 2022
ISBN
978-80-85823-73-8
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
239-248
Publisher name
Matematický ústav AV ČR, v. v. i.
Place of publication
Praha
Event location
Jablonec nad Nisou
Event date
Jun 19, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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