Starting inhomogeneous bdry conditions.

examples/borehole/sphere.geo

  */
 
 radius = 2.25;     // Radius of the damn thing
-lc = 15*radius;     //  0.25;   // Target element size
+lc = radius/6;     //  0.25;   // Target element size
 
 // Total Solution Space
-Box = 100*radius; // The down side of potential
+Box = 12*radius; // The down side of potential
 X0 = -Box;
 X1 =  Box;
 Y0 = -Box;
 Z0 = -Box;
 Z1 =  Box;
 
-cellSize=radius/10; ///10;
+cellSize=radius/6; ///10;
 dd = 0 ; //  1e-5; //cellSize; // .01;
 pio2=Pi/2;
 

examples/borehole/sphereBox.geo

 D1 = 11;          // Bottom of magnet
 radius = 2.25;     // Radius of the damn thing
 
-lc = 10*radius;   //  0.25;   // Target element size
+lc = 2*radius;   //  0.25;   // Target element size
 
 // Total Solution Space
-Box = 100*radius; // The down side of potential
+Box = 12*radius; // The down side of potential
 X0 = -Box;
 X1 =  Box;
 Y0 = -Box;

src/FEM4EllipticPDE.cpp

                 ID[3] = Ids->GetId(3);
 
             Real sigma_bar(0);
+            /*
             if (GCell) {
                 sigma_bar = vtkGrid->GetCellData()->GetScalars("G")->GetTuple1(ic);
             } else {
                 sigma_bar += vtkGrid->GetPointData()->GetScalars("G")->GetTuple1(ID[3]);
                 sigma_bar /= 4.;
             }
-            sigma_bar = 1.;
+            */
+            Real xc = C.col(1).array().mean();
+            Real yc = C.col(2).array().mean();
+            Real zc = C.col(3).array().mean();
+            if ( xc >= 2.5 && xc <= 5. && yc>=2.5 && yc <= 5.) {
+                sigma_bar = 0.;
+            } else {
+                sigma_bar = 1.;
+            }
 
             for (int ii=0; ii<4; ++ii) {
                 for (int jj=0; jj<4; ++jj) {