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

Move your mouse on the picture to zoom in

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.