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Integration multi-domain 1D-3D for multivariable-function
Posted Jul 6, 2010, 5:27 a.m. EDT 0 Replies
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I try since two weeks to integrate a multivariable functions on a multi-domain.
I have to integrate the function f(x,y,z,t,x_0,y_0,z_0) = exp(sqrt((x-x_0)^2+(y-y_0)^2+(z-z_0)^2))*t) for t = [0 , 10] (time-integration 1D) and for (x,y,z) on a surface defined by a geometry (surface-integration 3D-the surface of a cube for example). The final result is the function g(x_0 , y_0 , z_0) with x_0 , y_0 and z_0 are spatial variables.
Unfortunateny, the method using integration coupling variable and extrusion coupling variable (and coupling a 1D geometry for the integration domain of t and 3D geometry for the surface integration of (x,y,z)) do not give good results...
Really, I don't know how COMSOL can solve such a problem. The COMSOL book is very useful but does not mention this problem completely.
Have you already achieve such a problem with COMSOL ?
Thank you for your help.
Sébastien
Hello Antoine Martinez
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