An Improved Multiquadric RBF Method for 3D Electromagnetic Problems

Abstract

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