[Getdp] Dual Formulation in the wiki

[David Colignon]

Hi, 

from  http://geuz.org/pipermail/getdp/2006/000869.html  in the mailing list:

...
the condition on the coefficients associated to the second order basis functions must be homegeneous ( 0 value ) otherwise the imposed condition considers a boundary condition other than constant ( with second degree variation ). This is due to the fact that the second order elements are built with hierarchical basis functions.
...

Cheers,

Dave

-- 
David Colignon, Ph.D.
ELAP - Service d'Electricité Appliquée
Institut Montefiore B28
Université de Liège
4000 Liège - BELGIQUE
Tél: +32 (0)4 366 37 32
Fax: +32 (0)4 366 29 10
http://elap.montefiore.ulg.ac.be


Amit.Itagi at seagate.com wrote:
> Hi,
> 
> I have a question regarding the dual formulation example (
> http://www.geuz.org/getdp/wiki/DualFormulations ). I find that the first
> order and the higher order elements satisfy different constraints (See
> excerpt below). Could someone kindly explain the motivation for defining
> separate constraints ?
> 
> The higher order elements are being used as a result of P1 adaptation. I
> would think that since the same problem is being solved, the constraints
> would remain the same.
> 
> Thanks
> 
> Rgds,
> Amit
> 
> 
> //----------------------------------------------------------------------------------------------------------------------------
> FunctionSpace {
>   { Name Hgrad_phi_MagSta; Type Form0;
>     BasisFunction {
>       { Name sn1n ; NameOfCoef wn1n ; Function BF_Node ; Support Tot_Mag;
> Entity NodesOf[All]; }
>       { Name sn2e ; NameOfCoef wn2e ; Function BF_Node_2E ; Support Tot_Mag
> ; Entity EdgesOf[ All ] ; }
>       .
>        .
>        .
>     }
>     Constraint {
>       { NameOfCoef wn1n; EntityType NodesOf ; NameOfConstraint Sta_phi; }
>       { NameOfCoef wn2e ; EntityType EdgesOf ; NameOfConstraint
> Sta_phi_Zero ; }
>       .
>       .
>       .
>     }
>   }
> 
> Constraint {
>   { Name Sta_phi ;
>     Case {
>       { Region left ; Value -100. ; }
>       { Region right ; Value 100. ; }
>     }
>   }
>   { Name Sta_phi_Zero ;
>     Case {
>       { Region left ; Value 0. ; }
>       { Region right ; Value 0. ; }
>     }
>   }
> //---------------------------------------------------------------------------------
> 
> 
> 
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