ALOP Colloquium with Shengfeng Zhu
February 10 / 16:00 - 18:00
On Monday, February 10 2020 at 16:00 c.t. Dr. Shengfeng Zhu of East China Normal University will present his recent work
entitled Finite element approximations of shape gradients with applications in shape optimization
Shape optimization has many practical applications in science and engineering. Boundary type Eulerian derivative has been widely used in shape gradient algorithms. The distributed Eulerian derivative is seldom noticed. For model problems of eigenvalue optimization and shape design in flows, we present two types of discrete finite element schemes for shape gradients contained in distributed and boundary types of Eulerian derivatives. Our a prior error estimates show that the discrete shape gradient associated with the distributed Eulerian derivative on a fixed domain has higher convergence rate and better accuracy. Furthermore, we report numerical evidence that the distributed shape gradient algorithm can have better numerical performance during deformations.
The presentation will take place in HS 9.
Please join us for coffee at 15:45 in E10.