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{ STAGED_GEOMETRY.PDE  

 

 This problem shows the use of staging to solve  a problem for a range

 of geometries.

 

}

 

title 'Staged Geometry'

 

select

   stages=3

   autostage=off { pause after each stage }

definitions

   width = 2*stage

 

Variables

   u

 

equations

   U: div(grad(u)) + 4 = 0;

 

boundaries

  region 1

      start(0,0)

      value(u)=0

       line to (width,0) to (width,2) to (0,2) to close

 

monitors

  contour(u)

 

plots

  grid(x,y)

  surface(u)

  contour(u)

 

histories

  history(integral(u)) vs width as "Integral vs width"

 

end