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Re: Numerical integration over an arbitrary 2D domain

• To: mathgroup at smc.vnet.net
• Subject: [mg127142] Re: Numerical integration over an arbitrary 2D domain
• From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
• Date: Mon, 2 Jul 2012 05:27:02 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi all,
I am a new user of Wolfram Mathematica. I need to integrate
(numerically of course) generic functions above complex 2D domains.
For example, i would like to find the moments of inertia of an airfoil
cross-section. Is it possible?
My idea was to import a triangular mesh (list of nodes and element
connectivity) of the integration domain. Then integrate my functions
using a trapezoidal integration. How could i do this?
Thank you very much,

Alfonso


Hi, Alfonso,

Mathematica can solve multiple integrals, and there are function NIntegrate=
[ ] doing them numerically with a possibility  to use various numeric metho=
ds and precisions. Check Menu/Help/NIntegrate.

You can, of course, also do a custom program, but I recommend to first try =
this function. If you already have done so and faced difficulties, post det=
ails of your integrand and domain. Otherwise your question is too general t=
o help you.

Have fun, Alexei


Alexei BOULBITCH, Dr., habil.
IEE S.A.
ZAE Weiergewan,
11, rue Edmond Reuter,
L-5326 Contern, LUXEMBOURG

Office phone :  +352-2454-2566
Office fax:       +352-2454-3566
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e-mail: alexei.boulbitch at iee.lu<mailto:alexei.boulbitch at iee.lu>