| Abstract: |
| Interface related problems have a lot of applications in fluid dynamics, material science, image processing, shape and topology optimization, and so on. In this talk, we propose to use indicator functions to implicitly represent the interface, introduce a concave approximation to the energy/objective functional, and derive an unconditionally stable iterative method for interface related problems. We will introduce a topology optimization problem as one example for optimization cases. Some other applications including image segmentation, configuration of foam bubbles, optimal partition will also be presented. |
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