[Getdp] Helmholtz 2D green function

[Guillaume Demésy]

Dear GetDP users & developers,

I was expecting to get the (Helmholtz) 2D Green function (i.e. exactly i/4 H_0^1(k_0 r)) by solving \laplacian E + k0^2 E=\delta in GetDP.
It seems that my vertex delta condition does not work properly.

My formulation (also attached .geo and .pro) looks like:

FunctionSpace {
  { Name Hgrad; Type Form1P;
    BasisFunction {
      { Name sn;  NameOfCoef un;  Function BF_PerpendicularEdge_1N; Support Omega; Entity NodesOf[Omega]; }
      { Name sn2; NameOfCoef un2; Function BF_PerpendicularEdge_2E; Support Omega; Entity EdgesOf[Omega]; }
     }
    Constraint {
    }
  }
}
Formulation {
    {
	Name helmoltz_scalar;  Type FemEquation;
       	Quantity {
	Name u;  Type Local; NameOfSpace Hgrad;}
     }
	Equation {
	Galerkin { [k0^2*epsilonr[] * Dof{u},{u} ];
	  In Omega; Jacobian JVol; Integration Int_1;  }
	Galerkin {[-1/mur[] *Dof{Curl u} , {Curl u}];
	  In Omega; Jacobian JVol; Integration Int_1;  }
	Galerkin { [Vector[0., 0., -1] , {u}];
	  In Source_point; Jacobian JLin; Integration Int_1;  }
	} 
    }
}


Would you have any insight?

Many thanks!

Guillaume Demésy


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