Elliptic PDE with non local penalization of the gradient norm
in collaboration with G. Buttazzo and B. Velichkov
You can find 3D simulations for the same problem on the following links
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Optimization on a disk m = 0, 0.1, 0.5. On the first raw the solution and its gradient on the second raw.
Optimization on a square m = 0, 0.1, 0.5. On the first raw the solution and its gradient on the second raw.
Optimization on an ellipse m = 0, 0.1, 0.5. On the first raw the solution and its gradient on the second raw.
Optimization on a treffle m = 0, 0.1, 0.5. On the first raw the solution and its gradient on the second raw.