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demos/nested.geo

+// run "gmsh nested.geo -"
+
+lc = 0.5;
+Point(1) = {0, 0, 0, lc};     Point(2) = {-0.5, -0, 0, lc};
+Point(3) = {0, -0.5, 0, lc}; Point(4) = {0, 0.5, 0, lc};
+Point(5) = {0.5, -0, 0, lc};
+
+Circle(1) = {2, 1, 3}; Circle(2) = {3, 1, 5};
+Circle(3) = {5, 1, 4}; Circle(4) = {4, 1, 2};
+
+Line Loop(5) = {4, 1, 2, 3};
+Plane Surface(6) = {5};
+
+Mesh.Algorithm = 6;
+// Mesh.SecondOrderLinear = 1; // points on initial (linear) boundary mesh?
+
+// generate initial mesh
+Mesh 2;
+Save "initial.msh";
+
+// generate sequence of nested meshes
+For i In {1:5}
+  RefineMesh;
+  Save Sprintf("nested_%g.msh", i);
+EndFor
+
+// generate sequence of (unrelated) refined meshes
+For i In {1:5}
+  Mesh.CharacteristicLengthFactor = 1 / 2^i;
+  Mesh 1;
+  Mesh 2;
+  Save Sprintf("refined_%g.msh", i);
+EndFor