Hi,
This may gives some clue: http://dx.doi.org/10.1016/j.cad.2005.06.004 RT On Tue, Aug 26, 2008 at 10:08 PM, Daniel Goldberg <[EMAIL PROTECTED]>wrote: > Hi all, > > I'm guessing that even if something like this exists it has not been > implemented, but I figure this is the right community to ask.. > > If I have a term in my equations that I only want to apply over part of > my domain, and in fact I would like the divide between the parts of the > domain to be able to cut through cells, is there any quadrature theory I > can use to evaluate the integrals involved? > > To be a little more clear; say I have a quantity \eta defined piecewise > bilinearly over the domain, and I want to evaluate <u,v> where \eta > 0. > The difficulty is in the cells where \eta is positive on some vertices > and negative on others. I can describe algebraically the level set of > \eta in those cells, and if I'm a masochist I think I can evaluate <u,v> > in those cells if u and v are members of a bilinear nodal basis. (or get > maple to do it for me, but there's still plenty of room for mistakes on > my part.) > > Is there an alternative that is probably good enough? That is, might i > be ok with a very high order quadrature? Or is there theory regarding > quadrature on the type of domains I'm describing, maybe something > approximate? > > I realize that these all depend highly on the problem I'm trying to > solve. But I'm banking that someone has at least thought about it before > - if so, I would really appreciate your thoughts.. > > Dan > > _______________________________________________ >
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