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Topic: measured boundary conditions with pde toolbox
Replies: 17   Last Post: Apr 8, 2014 6:00 AM

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 Bruno Luong Posts: 9,766 Registered: 7/26/08
Re: measured boundary conditions with pde toolbox
Posted: Aug 5, 2009 6:21 PM

"Doug " <dhk@umd.edu> wrote in message <h5cmv4\$lbc\$1@fred.mathworks.com>...
> Has anybody tried using the pde toolbox with boundary conditions taken from experimental measurements (ie, not a formula)?
>
> I see that assempde will take as its input either a boundary condition matrix or a boundary M-file, but both seem to give boundary conditions by specifying a simple formula (like x.^2+y.^2, from the example in the help files). I want to solve Poisson's equation using actual experimental data for the Neumann boundary conditions. It would seem reasonable to provide a matrix similar in form to the edge matrix "e", but containing local values of the Neumann boundary condition. Can it be done?
>
> Thanks in advance from a lowly experimentalist to all you pde gurus!

Unless if you refer to Dirac Neumann bc, the local values Neumann's bc does not make sense. It must be something you can *apply* on another function defined on the boundary. Specifically, mathematician like to refer it as continuous linear application on the fractional Sobolev H^{1/2} space; or even more barbaric: the "H^{-1/2} space". The later does not have defined local value, unfortunately.

Bruno

Date Subject Author
8/5/09 Doug
8/5/09 Bruno Luong
8/5/09 Doug
8/6/09 Bruno Luong
8/10/09 Doug
8/10/09 Bruno Luong
8/11/09 Bruno Luong
11/17/12 Tony Kittler
11/17/12 Tony Kittler
11/17/12 Tony Kittler
11/18/12 Tony Kittler
11/18/12 Tony Kittler
11/18/12 Tony Kittler
4/2/14 Dmitry
4/2/14 Bill Greene
4/3/14 Dmitry
4/7/14 Dmitry
4/8/14 Dmitry