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Physics-informed optimizing discrete loss framework for nonlinear computational mechanics using automatic differentiation

delete2026-08-01
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OA
AI
J
Jinlong Yang
S
Shaoyu Zhao
L
Liangteng Guo
Z
Zhi Ni
Y
Yihe Zhang
Y
Yingyan Zhang
J
Jie Yang *
DOI:10.1016/j.apm.2026.117235delete
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Abstract

Abstract

En 中文
• Optimizing discrete loss with traditional discretization is proposed to solve PDEs. • Adaptive-restart strategy improves optimizer robustness and convergence. • Accuracy is verified through canonical tests and bending of metamaterial beam. • Optimizing discrete loss achieves accurate and robust nonlinear PDE solutions.
Keywords:
Optimizing discrete loss
Functionally graded materials
Nonlinear bending
Graphene origami
Auxetic metamaterials
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Journal

Applied Mathematical Modelling cover
Applied Mathematical Modelling
IF:
5.1
Papers:
1.1K
Citations:
2.8W

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R
RMIT University
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2.7K
Papers: 1.6K
Citations: 2.6W
S
swinburne university of technology
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741
Papers: 413
Citations: 0