8 citations · 8 across the 8 of their papers we have counts for
9 papers
History-Compatible Energy-Stable Finite Element Schemes for Variable-Density Cahn--Hilliard--Navier--Stokes Flows on Evolving Meshes
Wenbin Wang, Yunqing Huang, Yin Yang +1
We consider variable-density Cahn--Hilliard--Navier--Stokes (CHNS) discretizations on finite element meshes that may change between accepted time levels through fixed-topology moti…
A hybrid crossover kangaroo escape optimization framework for engineering optimization and UAV path planning
Han-Bin Liu, Huayi Wei
Complex engineering optimization problems are often characterized by multimodality, high dimensionality, and nonlinear constraints, posing significant challenges for efficient and…
A High-Performance, Cross-Platform Open-Source Solver for the Incompressible Navier-Stokes Equations in FEALPy
Wang Pengxiang, Huang Xianbo, Peng Li +1
To address the dual challenges of performance portability across heterogeneous hardware and the high usability barriers of conventional computational fluid dynamics (CFD) software,…
FEALPy: A Cross-platform Intelligent Numerical Simulation Engine
Yangyang Zheng, Huayi Wei, Yunqing Huang +5
In resent years, the software ecosystem for numerical simulation still remains fragmented, with different algorithms and discretization methods often implemented in isolation, each…
Implementation and Basis Construction for Smooth Finite Element Spaces
Chunyu Chen, Long Chen, Tingyi Gao +2
The construction of conforming finite elements on simplicial meshes has recently advanced through the groundbreaking work of Hu, Lin, and Wu (Found. Comput. Math. 24, 2024).…
Global Energy Minimization for Simplex Mesh Optimization: A Radius Ratio Approach to Sliver Elimination
Dong Wang, Chunyu Chen, Huayi Wei
This paper constructs an energy function for simplex mesh based on the radius ratio and develops a corresponding mesh optimization method. The method combines vertex relocation and…
SOPTX: A High-Performance Multi-Backend Framework for Topology Optimization
Liang He, Huayi Wei, Tian Tian
In recent years, topology optimization (TO) has gained widespread attention as a powerful structural design method. However, its application remains challenging due to the deep exp…
High-Order Interior Penalty Finite Element Methods for Fourth-Order Phase-Field Models in Fracture Analysis
Tian Tian, Chen Chunyu, Wei Huayi
This paper presents a novel approach for solving fourth-order phase-field models in brittle fracture mechanics using the Interior Penalty Finite Element Method (IP-FEM). The fourth…
Adaptive Finite Element Method for Phase Field Fracture Models Based on Recovery Error Estimates
Tian Tian, Chen Chunyu, He Liang +1
The phase field model is a widely used mathematical approach for describing crack propagation in continuum damage fractures. In the context of phase field fracture simulations, ada…