8 citations · 8 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…