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integration over parameter instead of geometry
Posted 14 janv. 2015, 07:34 UTC−5 Parameters, Variables, & Functions 2 Replies
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Dear all,
I was wondering if the following integral was possible in Comsol.
![](data:image/png;base64,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)
where f(g) is a known function, a,b are the limits (also known) and emw.Ex would be the electric field which depends on the position and on the value of g, i.e., emw.Ex=emw.Ex(x,y,z,g). I have seen a very similar question here: www.uk.comsol.com/community/forums/general/thread/39845 , but I have no idea have to deal with my problem. Normally, the integrals are defined over a domain, but this is not the case.
I guess that one solution would be do a Parametric Sweep over g, and make the integration in matlab, but I would like to know if this is possible in Comsol
Thank you so much
I was wondering if the following integral was possible in Comsol.
where f(g) is a known function, a,b are the limits (also known) and emw.Ex would be the electric field which depends on the position and on the value of g, i.e., emw.Ex=emw.Ex(x,y,z,g). I have seen a very similar question here: www.uk.comsol.com/community/forums/general/thread/39845 , but I have no idea have to deal with my problem. Normally, the integrals are defined over a domain, but this is not the case.
I guess that one solution would be do a Parametric Sweep over g, and make the integration in matlab, but I would like to know if this is possible in Comsol
Thank you so much
2 Replies Last Post 22 janv. 2015, 09:21 UTC−5