Research-Efficient monotonic-decreasing algorithms for shape optimization by phase-field approaches

Research

Graduate Student Colloquium

Efficient monotonic-decreasing algorithms for shape optimization by phase-field approaches

Speaker: Futuan Li (SUSTech)
Time: Feb 13, 2023, 15:50-16:30
Location: M616, College of Science Bldg.

Abstract:

We study shape optimization problems in the Stokes flows. An efficient decoupled scheme is proposed to implement by the gradient flow approach to decrease the objective function.We rigorously prove that the proposed scheme permits an unconditionally monotonic-decreasing property. To enhance the overall efficiency of the algorithm, in each loop we update the phase field variable and Lagrangian parameter several time steps but update the velocity field only one time.