activity
20232025
most citedAn Adaptive Phase-Field Method for Structural Topology Optimization

19 citations · 26 across the 6 of their papers we have counts for

collaborators

6 papers

math.OC2025

A Unified Phase-Field Fourier Neural Network Framework for Topology Optimization

Jing Li, Xindi Hu, Helin Gong +2

We propose Alternating Phase-Field Fourier Neural Networks (APF-FNNs) as a unified and physics-based framework for topology optimization. The approach decouples the design problem…

math.NA2025

Convergence Analysis of an Adaptive Nonconforming FEM for Phase-Field Dependent Topology Optimization in Stokes Flow

Bangti Jin, Jing Li, Yifeng Xu +1

In this work, we develop an adaptive nonconforming finite element algorithm for the numerical approximation of phase-field parameterized topology optimization governed by the Stoke…

math.NA2025

On the Crouzeix-Raviart Finite Element Approximation of Phase-Field Dependent Topology Optimization in Stokes Flow

Bangti Jin, Jing Li, Yifeng Xu +1

In this work, we investigate a nonconforming finite element approximation of phase-field parameterized topology optimization governed by the Stokes flow. The phase field, the veloc…

math.NA2024★ 3 cited

Adaptive finite element approximations of the first eigenpair associated with -Laplacian

Guanglian Li, Jing Li, Julie Merten +2

In this paper, we propose an adaptive finite element method for computing the first eigenpair of the -Laplacian problem. We prove that starting from a fine initial mesh our prop…

math.NA2023★ 4 cited

Adaptive Computation of Elliptic Eigenvalue Topology Optimization with a Phase-Field Approach

Jing Li, Yifeng Xu, Shengfeng Zhu

In this paper, we discuss adaptive approximations of an elliptic eigenvalue optimization problem in a phase-field setting by a conforming finite element method. An adaptive algorit…

math.OC2023★ 19 cited

An Adaptive Phase-Field Method for Structural Topology Optimization

Bangti Jin, Jing Li, Yifeng Xu +1

In this work, we develop an adaptive algorithm for the efficient numerical solution of the minimum compliance problem in topology optimization. The algorithm employs the phase fiel…