3 papers
math.OC2025
Maximization of Supercapacitor Storage via Topology Optimization of Electrode Structures
Jiajie Li, Xiang Ji, Shenggao Zhou +1
As widely used electrochemical storage devices, supercapacitors deliver higher power density than batteries, but suffer from significantly lower energy density. In this work, we pr…
math.OC2025
Topology optimization for microfluidic mixers by a phase field method
Zongyuan Liu, Jiajie Li, Shengfeng Zhu
We investigate multi-physical topology optimization for microfluidic mixers employing the phase-field model. The optimization problem is formulated using a modified Ginzburg-Landau…
math.NA2024
Energy stable gradient flow schemes for shape and topology optimization in Navier-Stokes flows
Jiajie Li, Shengfeng Zhu
We study topology optimization governed by the incompressible Navier-Stokes flows using a phase field model. Novel stabilized semi-implicit schemes for the gradient flows of Allen-…