[dune-fem] A dune-fem project for the thesis

[Mauro Pagani]

Hi, I contact you because I want to implement a code of a model of a reaction-diffusion equations system of the form:

ε∂tv + 4v(v*v-1) - ε*ε div Mi ui = 0

ε∂tv + 4v(v*v-1) - ε*ε div Me ue = 0

with 

Ω = (0,1.4) x (0,1.4)

v = ui - ue

ui(.,0)=-0.5 in A0 = a quarter of a circumference of unit radius
ui(.,0)=+0.5 in Ω\A0
ue(.,0)=+0.5 in A0
ue(.,0)=-0.5 in Ω\A0

v =1 on Γ1 =top and right sides of the square

∂v/∂n =0 on Γ2 =left and bottom sides of the square



This problem is referred to the cardiac bioelectric activity. I choose this topic for my thesis in Maths in Brescia (Italy).

Could you help me with some documentation or ideas?..I see tutorials in dune-fem-howto, I understand the basis concepts, but a problem like this is a little hard to solve.

Thank you very much

Mauro Pagani
 		 	   		   		 	   		  
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