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arXiv · 2512.06632

FEALPy: A Cross-platform Intelligent Numerical Simulation Engine

Yangyang Zheng·Huayi Wei·Yunqing Huang·Chunyu Chen·Tian Tian·Hanbin Liu·Wenbin Wang·Liang He
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Abstract

In resent years, the software ecosystem for numerical simulation still remains fragmented, with different algorithms and discretization methods often implemented in isolation, each with distinct data structures and programming conventions. This fragmentation is compounded by the growing divide between packages from different research fields and the lack of a unified, universal data structure, hindering the development of integrated, cross-platform solutions. In this work, we introduce FEALPy, a numerical simulation engine built around a unified tensor abstraction layer in a modular design. It enables seamless integration between diverse numerical methods along with deep learning workflows. By supporting multiple computational backends such as NumPy, PyTorch, and JAX, FEALPy ensures consistent adaptability across CPU and GPU hardware systems. Its modular architecture facilitates the entire simulation pipeline, from mesh handling and assembly to solver execution, with built-in support for automatic differentiation. In this paper, the versatility and efficacy of the framework are demonstrated through applications spanning linear elasticity, high-order PDEs, moving mesh methods, inverse problems and path planning.

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Yangyang Zheng, Huayi Wei, Yunqing Huang, Chunyu Chen, Tian Tian, Hanbin Liu, Wenbin Wang, Liang He. 2025-12-07. FEALPy: A Cross-platform Intelligent Numerical Simulation Engine. https://arxiv.org/abs/2512.06632

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