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
mobile phone:  +49 151 52 40 66 44

e-mail: alexei.boulbitch at iee.lu<mailto:alexei.boulbitch at iee.lu>

```

• Prev by Date: Re: Higher precision in Error function Erf[] needed.
• Next by Date: Re: how to make a list of rules with 2 other lists composed by different kinds of elements
• Previous by thread: Numerical integration over an arbitrary 2D domain
• Next by thread: Re: Numerical integration over an arbitrary 2D domain