Yong Zhang, K. Shao, Youguang Guo, D.X. Xie, J. Lavers
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引用次数: 2
摘要
近年来发展起来的多重径向基函数法(multiple - quadric radial basis function method，简称MQ)是一种具有全局基函数的真正无网格方法。它被用于求解许多一维和二维偏微分方程，包括线性和非线性问题。然而，关于电磁偏微分方程的研究很少，更不用说3D问题了。针对三维电磁问题，提出了一种改进的MQ方法。数值结果表明，尽管两种方法都是指数收敛的直接配点法，但与传统MQ方法相比，精度有了很大提高
An Improved Multiquadric RBF Method for 3D Electromagnetic Problems
The multiquadric radial basis function method (MQ RBF or, simply, MQ) developed recently is a truly meshless method with global basis functions. It was introduced for solving many 1D and 2D PDEs, including linear and nonlinear problems. However, few works are found for electromagnetic PDEs, say nothing of 3D problems. This paper presents an improved MQ method for 3D electromagnetic problems. Numerical results show a considerable improvement in accuracy over the traditional MQ method, although both methods are direct collocation method with exponential convergence
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