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Partial differential Equations, Numerics and Control

Anisotropic advection-reaction equation

Mehmet Ersoy

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We consider the 2-dimensional anisotropic advection-reaction equation posed on the square S=[-1,1]x[-1,1] described by u_t+u·u_x+e·u_yy=f on [0,T]xS and u_n=0 on the boundary of S. We solve this equation by using a standard finite element method implemented in FreeFem++. For the approximation of the term u_t+u·u_x we use the Characteristics-Galerkin Method suggested in the documentation of Freefem++

The video corresponds to the simulation with e=0.1.

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Eusko Jaurlaritza - Gobierno Vasco ikerbasque - Basque Foundation for Science Bizkaia xede. Bizkaiko Foru Aldundia innobasque - Agencia vasca de la innovación Universidad del PaÌs Vasco (UPV/EHU)