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Homogenization of the transport equation describing convection-diffusion processes in a material with fine periodic structure

Šilhánek, DavidBeneš, Michal — 2023

Programs and Algorithms of Numerical Mathematics

In the present contribution we discuss mathematical homogenization and numerical solution of the elliptic problem describing convection-diffusion processes in a material with fine periodic structure. Transport processes such as heat conduction or transport of contaminants through porous media are typically associated with convection-diffusion equations. It is well known that the application of the classical Galerkin finite element method is inappropriate in this case since the discrete solution...

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