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MATLAB Central > MATLAB Newsreader > measured boundary conditions with pde toolbox 

Subject: measured boundary conditions with pde toolbox From: Doug Date: 5 Aug, 2009 19:36:04 Message: 1 of 18 
Has anybody tried using the pde toolbox with boundary conditions taken from experimental measurements (ie, not a formula)? 
Subject: measured boundary conditions with pde toolbox From: Bruno Luong Date: 5 Aug, 2009 22:21:01 Message: 2 of 18 
"Doug " <dhk@umd.edu> wrote in message <h5cmv4$lbc$1@fred.mathworks.com>... 
Subject: measured boundary conditions with pde toolbox From: Doug Date: 6 Aug, 2009 01:16:08 Message: 3 of 18 
Hmmm, I haven't heard of DiracNeumann boundary conditions. In this problem I want to specify the normal derivative of the scalar field at each node on the boundary. 
Subject: measured boundary conditions with pde toolbox From: Bruno Luong Date: 6 Aug, 2009 05:27:03 Message: 4 of 18 
"Doug " <dhk@umd.edu> wrote in message <h5daso$lqr$1@fred.mathworks.com>... 
Subject: measured boundary conditions with pde toolbox From: Doug Date: 10 Aug, 2009 19:36:19 Message: 5 of 18 
OK, I've answered my own question, and the answer is a boundary Mfile. 
Subject: measured boundary conditions with pde toolbox From: Bruno Luong Date: 10 Aug, 2009 19:54:04 Message: 6 of 18 
"Doug " <dhk@umd.edu> wrote in message <h5psrj$8g9$1@fred.mathworks.com>... 
Subject: measured boundary conditions with pde toolbox From: Bruno Luong Date: 11 Aug, 2009 09:52:05 Message: 7 of 18 
Doug, I have a hard time to explain why using pointwise Neumann condition is dangerous in a simple term. So I continue to provide indication, and hope one of them will speak to you. If you are familiarize with boundary single layer potential, you will see that the normal derivative have a jump relation related to the local value of the potential (see Colton & Kress book). This show that we can set pointwise Neumann bc at any values, though the Banach L^p norm (1<=p<infinity) of the "trace" can be anything else. There are an infinity harmonic functions that meet the *pointwise* Neumann condition. 
Subject: measured boundary conditions with pde toolbox From: Carl S. Date: 17 Nov, 2012 06:14:09 Message: 8 of 18 
"Bruno Luong" <b.luong@fogale.findmycountry> wrote in message <h5rf05$nb8$1@fred.mathworks.com>... 
Subject: measured boundary conditions with pde toolbox From: Carl S. Date: 17 Nov, 2012 14:02:16 Message: 9 of 18 
"Carl S." wrote in message <k879vh$k4n$1@newscl01ah.mathworks.com>... 
"Carl S." wrote in message <k885d7$h85$1@newscl01ah.mathworks.com>... 
"Carl S." wrote in message <k89olv$rr$1@newscl01ah.mathworks.com>... 
"Carl S." wrote in message <k8a2o8$2sj$1@newscl01ah.mathworks.com>... 
"Carl S." wrote in message <k8a635$dg7$1@newscl01ah.mathworks.com>... 
Subject: measured boundary conditions with pde toolbox From: Dmitry Date: 2 Apr, 2014 18:52:08 Message: 14 of 18 
"Doug" wrote in message <h5psrj$8g9$1@fred.mathworks.com>... 
Subject: measured boundary conditions with pde toolbox From: Bill Greene Date: 2 Apr, 2014 19:33:09 Message: 15 of 18 
"Dmitry" wrote in message <lhhm8o$j16$1@newscl01ah.mathworks.com>... 
Subject: measured boundary conditions with pde toolbox From: Dmitry Date: 3 Apr, 2014 04:56:08 Message: 16 of 18 
"Bill Greene" wrote in message <lhholl$pur$1@newscl01ah.mathworks.com>... 
Subject: measured boundary conditions with pde toolbox From: Dmitry Date: 7 Apr, 2014 15:11:08 Message: 17 of 18 
"Dmitry" wrote in message <lhipl8$f2q$1@newscl01ah.mathworks.com>... 
Subject: measured boundary conditions with pde toolbox From: Dmitry Date: 8 Apr, 2014 10:00:12 Message: 18 of 18 
"Dmitry" wrote in message <lhuf6c$ei2$1@newscl01ah.mathworks.com>... 
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