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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