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MATLAB Central > MATLAB Newsreader > how to integrate a vector over a discrete surface? 

Subject: how to integrate a vector over a discrete surface? From: yl Date: 7 Mar, 2011 21:55:03 Message: 1 of 13 
I have a surface S in discrete from, i.g., i only have [x,y,z]data, but not a function. This surface is under air pressure P, which is perpendicular to the surface everywhere with a constant value. I want to know the force vector F on the surface caused by the air pressure, i.e. integrate P over S in discrete form. Could anybody help? How about surface S is in polar format? Thanks a lot. 
Subject: how to integrate a vector over a discrete surface? From: Roger Stafford Date: 8 Mar, 2011 02:46:06 Message: 2 of 13 
"yl " <shanshicn@hotmail.com> wrote in message <il3k7n$dqu$1@fred.mathworks.com>... 
Subject: how to integrate a vector over a discrete surface? From: yl Date: 8 Mar, 2011 14:59:05 Message: 3 of 13 
Roger,Thanks a lot. That is very helpful. Just to understand better about the principle, any recommend readings? thanks. 
Subject: how to integrate a vector over a discrete surface? From: yl Date: 8 Mar, 2011 15:06:21 Message: 4 of 13 
Roger, one more question. which integration command in matlab for the integration on discrete boundary? thanks a lot. 
Subject: how to integrate a vector over a discrete surface? From: Roger Stafford Date: 8 Mar, 2011 21:48:19 Message: 5 of 13 
"yl " <shanshicn@hotmail.com> wrote in message <il5gld$2oh$1@fred.mathworks.com>... 
Subject: how to integrate a vector over a discrete surface? From: Roger Stafford Date: 10 Mar, 2011 00:13:03 Message: 6 of 13 
"Roger Stafford" wrote in message <il6873$mhm$1@fred.mathworks.com>... 
Subject: how to integrate a vector over a discrete surface? From: yl Date: 15 Mar, 2011 20:10:15 Message: 7 of 13 
Roger, 
Subject: how to integrate a vector over a discrete surface? From: Roger Stafford Date: 15 Mar, 2011 21:51:05 Message: 8 of 13 
"yl " <shanshicn@hotmail.com> wrote in message <iloh37$72n$1@ginger.mathworks.com>... 
Subject: how to integrate a vector over a discrete surface? From: yl Date: 17 Mar, 2011 13:40:08 Message: 9 of 13 
Roger, thanks for your reminding. i may not describe correctly last time and here is what I did: 
Subject: how to integrate a vector over a discrete surface? From: yl Date: 17 Mar, 2011 13:46:08 Message: 10 of 13 
maybe the code should be: 
Subject: how to integrate a vector over a discrete surface? From: Roger Stafford Date: 17 Mar, 2011 16:06:05 Message: 11 of 13 
"yl " <shanshicn@hotmail.com> wrote in message <ilt2vo$7ms$1@ginger.mathworks.com>... 
Subject: how to integrate a vector over a discrete surface? From: yl Date: 31 Mar, 2011 18:48:05 Message: 12 of 13 
Roger, 
Subject: how to integrate a vector over a discrete surface? From: yl Date: 31 Mar, 2011 18:56:05 Message: 13 of 13 
ok, for higher dimensions, there is an expansion of Green's theorem: Stokes' Theorem. So the codes should work well for 3d cases. 
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