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math.NA2025
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…
math.NA2025
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…
math.NA2024★ 8 cited
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…