[Getdp] 3D conduction

[Christophe Geuzaine]

Benoit Bidoggia wrote:
> Hi,
> 
> I would like to solve a problem of electric 3D conduction:
> in a non conductive region I have a conductive
> region (or more than one, with different resistivities),
> on some parts of the surface of the conductive
> region I impose the total current (not the current
> density, since I don't know its distribution yet).
> The current may be dc current or ac-current,
> so skinny effect, eddy current and so on should
> be taken on account, I suppose.
> 
> Then, I would like to know what the distribution
> of the current-density is.
> 
> Here my questions:
> 1) What kind of problem is this? Under which names
> may I found it on books or on the net?

cf. http://geuz.org/getdp/wiki/TheoreticalReferences

> 2) Is there a ready-to-use formulation for it?
> 

cf. http://geuz.org/getdp/wiki/MagnetoDynamics

(username=getdp, passwd=wiki)


> E.g.: a cube of copper with two electrodes, one
> on the cube and one under it, that don't cover
> all the surface of the cube. The cube could have a hole
> in its middle...
> 
> Best regards and
> many thanks to every one could help me.
> 
> Benoit
> 
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-- 
Christophe Geuzaine
Assistant Professor, Case Western Reserve University, Mathematics
http://www.case.edu/artsci/math/geuzaine