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20232025
most citedAdaptive Computation of Elliptic Eigenvalue Topology Optimization with a Phase-Field Approach

4 citations · 7 across the 6 of their papers we have counts for

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math.NA2025

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…

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…