Investigation of Adam for Low-Frequency Electromagnetic problems

Low-frequency electromagnetic (EM) problems are analyzed through the moment method (MoM), and the adaptive moment estimation (Adam) is used for solving the matrix equation. For low-frequency problems, the singular values of the impedance matrix are dispersing and many of them are close to zero. Based on this point, The matrix equation is translated into an optimizing problem, then the solving process can be regarded as an weights optimizing procedure. Adam is utilized for updating the weights as solve . Numerical examples demonstrate that the Adam can accelerate the analysis of low-frequency problems and the same accuracy as traditional method.