Theory and Applications of the Node-based Meshless Method and the Time-Reversal Method

This paper presents our recent work on the node-based meshless numerical method and the time-reversal method. The meshless method can serve as a platform to unify or hybridize numerical methods and is well fit for solving multiscale and Multiphysics problems. The time reversal method is reformulated as an optimization problem and can be used for reconstruction of clustered sources and diagnosis of faulty antenna elements; they pave the way for automatic locations of EMC/EMI radiation sources for automatic synthesis, design and diagnosis of antenna and antenna array.