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verbosity=2;
mesh3 Th("dodecaedre01");
fespace Vh(Th,P23d);
func ue = 2*x*x + 3*y*y + 4*z*z + 5*x*y+6*x*z+1;
func uex= 4*x+ 5*y+6*z;
func uey= 6*y + 5*x;
func uez= 8*z +6*x;
func f= -18. ;
Vh uhe = ue; // bug ..
cout << " uhe min: " << uhe[]. min << " max:" << uhe[].max << endl;
border cc(t=0,2*pi){x=cos(t);y=sin(t);label=1;}
mesh Th2=buildmesh(cc(50));
fespace Vh2(Th2,P2);
Vh u,v;
macro Grad3(u) [dx(u),dy(u),dz(u)] // EOM
problem Lap3d(u,v,solver=CG)=int3d(Th)(Grad3(v)' *Grad3(u)) - int3d(Th)(f*v)
+ on(0,1,u=ue);
Lap3d;
cout << " u min:: " << u[]. min << " max: " << u[].max << endl;
real err= int3d(Th)( square(u-ue) );
cout << int3d(Th)(1.) << " = " << Th.measure << endl;
plot(u,wait=1);
Vh d= ue-u;
cout << " err = " << err << " diff l^\intfy = " << d[].linfty << endl;
Vh2 u2=u,u2e=ue;
plot(u2,wait=1);
plot(u2,u2e,wait=1);
// test new plot ...
plot(Th,wait=1);
plot(u,wait=1);
/*
{
ofstream file("dd.bb");
file << "3 1 1 "<< u[].n << " 2 \n";
int j;
for (j=0;j<u[].n ; j++)
file << d[][j] << endl;
}
*/
assert(err < 1e-9);
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