Re: [Getfem-users] Integro-differential equations

[Yves Renard]

Dear Ivan,

Unfortunately, the assembly procedure of Getfem is not designed to compute such integro-differential term.
May be if you have specific _expression_ for the kernel (if it is simple or can be expressed on a FEM) it should be possible to adapt something.

Yves.


Le 18/01/2013 12:24, Ivan Melikhov a écrit :

Hello!

I need to solve an integro-differential eigenvalue problem and I have trouble with integral term. Generally, I need to assemble a 4D matrix with elements 

\int\int(\phi_i(r')\phi_j(r')V(r,r')\phi_m(r)\phi_l(r))dr'dr

I suppose it is \int\int(\phi_i(r)\phi_j(r')V(r,r')\phi_m(r)\phi_l(r))dr'dr (\phi_i(r) instead of \phi_i(r')) ?

where V(r,r') is known function, \phi_i is the ith base function, dr is dxdy, dr' is dx'dy'. The question is how can I compute an inner integral inside comp command in generic_assembly::set?

Thank you for answers,

Ivan

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  Yves Renard (address@hidden)       tel : (33) 04.72.43.87.08
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