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LS-SVM-based nonlinear multi-physical steady-state field coupled problems computing method
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DOI：10.1016/j.apm.2025.115987.png)
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Abstract
En 中文
Multi-physical steady-state field coupled problems are addressed using mesh-based methods, including finite element and finite volume methods, along with their enhancements. To streamline computational complexity, this paper employs a least squares support vector machine (LSSVM) for tackling the multi-physical steady-state field coupled problems. First, LS-SVM lowers computational complexity by eliminating mesh dependency. Second, it effectively solves multiphysical steady-state field coupled problems with high adaptability. Finally, it can restrain the complex boundary conditions. This paper validates the approach with two case studies: a onedimensional nonlinear electro-mechanical coupled problem and a two-dimensional nonlinear thermoelectric coupled problem. The LS-SVM method achieved calculation accuracy comparable to the finite element method while offering greater precision and faster computation than both the radial basis function (RBF) interpolation and physics-informed neural network (PINN) methods.
Keywords:
Multi-physical steady-state field coupled
problems
Least squares support vector machine
Closed form approximate solution
Collocation method
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