MathGroup Archive 2002

[Date Index] [Thread Index] [Author Index]

Search the Archive

Stokes integral transformation with Mathematica ?

  • To: mathgroup at
  • Subject: [mg33190] Stokes integral transformation with Mathematica ?
  • From: Justus Heimann <Heimann at>
  • Date: Thu, 7 Mar 2002 02:23:43 -0500 (EST)
  • Organization: Technical University Berlin, Germany
  • Sender: owner-wri-mathgroup at


I got problem with integral transformation. I like to transform the
integral over a flat quadrilateral panel surface (x,y)

Integrate[-z/((x - x0)^2 + (y - y0)^2 + z^2))^(3/2), {x, xmin, xmax),
{y, ymin, ymax}];

to an equivalent line integral along the for panel edges.

This transformation usually is refered to as Stokes integral
transformation rule:
Int[Dot[Curl[{f1, f2, f3}], {n1, n2, n3}], {x, xmin, xmax), {y, ymin,
ymax}] ->
Int[{f1, f2, f3}, {s, smin, smax)]
where F={f1, f2, f3} is a vector field, N={n1, n2, n3} is the normal to
the, say quadrilateral panel surface, and s is the path along the panel

Does anyone have experience with such a symbolic Stokes transformation
within Mathematica ? Does anyone know an example with Mathematica ?

Many thanks in advance!

  • Prev by Date: RE: A rule with condition for the elements of a list
  • Next by Date: Re: Stupid newbie question
  • Previous by thread: Re: training book for mathematica
  • Next by thread: Convolution and Integration of Top Hat Functions