6 papers
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…
Bioluminescence tomography via a shape optimization method based on a complex-valued model
Qianqian Wu, Rongfang Gong, Wei Gong +2
In this study, we investigate the inverse source problem arising in bioluminescence tomography, the objective of which is to reconstruct both the support and the intensity of an in…
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…
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…
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…
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…