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LS-SVM-based nonlinear multi-physical steady-state field coupled problems computing method

delete2025-06-01
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PRE
AI
X
Xiaoming Han *
赵鑫 封面图
赵鑫 (Xin Zhao)
Z
Zhengwei Qu
Y
Yecheng Wu
G
Guofeng Li
DOI:10.1016/j.apm.2025.115987delete
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摘要

摘要

En 中文
多物理场稳态场耦合问题采用基于网格的方法进行处理,包括有限元法和有限体积法及其改进方法。为简化计算复杂度,本文采用最小二乘支持向量机(LSSVM)来解决多物理场稳态场耦合问题。首先,LS-SVM通过消除网格依赖性降低计算复杂度;其次,它能有效解决适应性强的多物理场稳态场耦合问题;最后,它可以抑制复杂的边界条件。本文通过两个案例研究验证了该方法:一个一维非线性机电耦合问题和二维非线性热电耦合问题。LS-SVM方法在计算精度上与有限元法相当,同时比径向基函数(RBF)插值和物理信息神经网络(PINN)方法具有更高的精度和更快的计算速度。
Keyword:
Multi-physical steady-state field coupled
problems
Least squares support vector machine
Closed form approximate solution
Collocation method

期刊

Applied Mathematical Modelling 封面图
Applied Mathematical Modelling
IF:
5.1
论文数:
1.3K
被引数:
2.8W

机构

D
Dalian Univ Technol
学者数:
4.8K
论文数: 2.1K
被引数: 696
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