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!