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Re: [Getfem-users] B = curl A : how to impose a jauge?

From: Yves Renard
Subject: Re: [Getfem-users] B = curl A : how to impose a jauge?
Date: Mon, 3 Mar 2008 15:40:09 +0100
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On Monday 03 March 2008 07:55, Riccardo Scorretti wrote:
> Hi. I'm interested in modeling in quasi-static electromagnetism, and I
> want to represent a flux density through a vector potential (i.e. B =
> curl A). To this aim, a jauge condition has to be imposed on A. One
> convenient way to impose such a jauge is to impose A=0 over a subset of
> the edges, which is a tree (that is, all nodes of the geometry are
> "touched" without forming a closed loop).
> The question is: how to obtain the list of all the edges of a geometry,
> so as to build a tree?

I don't completely understand what you exactly mean by a tree in this context. 
I suppose you treat a 3D problem. The edges are not stored in the mesh, so 
there is no natural numbering of edges. In fact, for a mesh whose base 
element is a tetrahedron, the edges are caracterised by the pairs of mesh 
nodes lying on the same tetrahedron. The indices of the nodes of an element 
can be obtained with the method
Of course, with this method, edges will be meet more than once.



  Yves Renard (address@hidden)       tel : (33)
  Pole de Mathematiques, INSA de Lyon          fax : (33)
  20, rue Albert Einstein
  69621 Villeurbanne Cedex, FRANCE


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