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Deep learning-driven preconditioned conjugate gradient method for finite element analysis

delete2026-05-05
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PRE
AI
Z
Zhike Guo
J
Jiaxu Shen *
M
Mi Zhao
M
M. Hesham El Naggar
X
Xiuli Du
DOI:10.1016/j.engappai.2026.114980delete
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Abstract

Abstract

En 中文
• A sparse U-shaped neural network is developed for finite element preconditioning. • Condition-number-based loss is developed for conjugate gradient preconditioners. • A cache-assisted Lanczos method accelerates loss evaluation for sparse matrices. • The proposed method improves overall efficiency over conventional preconditioners. • Strong generalization is achieved for civil stiffness matrices with varying materials.
Keywords:
sparse neural network
preconditioned conjugate gradient
finite element analysis
condition number
cache-assisted Lanczos method

Journal

Engineering Applications of Artificial Intelligence cover
Engineering Applications of Artificial Intelligence
IF:
8
Papers:
5.4K
Citations:
3.5W

Organization

B
beijing university of technology
Scholars:
5.7K
Papers: 1.9K
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W
western university
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