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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.OC2024
Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage
Jiajie Li, Shenggao Zhou, Shengfeng Zhu
We build a new mathematical model of shape optimization for maximizing ionic concentration governed by the multi-physical coupling steady-state Poisson-Nernst-Planck system. Shape…