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math.NA2025
Adaptive Crouzeix-Raviart finite elements for the first eigenpair of -Laplacian
Guanglian Li, Yueqi Wang, Yifeng Xu
In this paper, we propose and analyze an adaptive Crouzeix-Raviart finite element method for computing the first Dirichlet eigenpair of the -Laplacian problem. We prove that the…
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…