Iterative Charge-Update Schemes for Electro-quasistatic Problems

The electric scalar potential electro-quasistatic field formulation is commonly employed for simulating nonlinear high-voltage problems. To this end, standard iterative nonlinear solvers, such as fixed-point iterations and Newton’s method, are used. Here, iterative charge update schemes that possess a constant coefficient matrix throughout the nonlinear iterations are developed, abstract convergence conditions are proved and numerically verified for the fundamental frequency, while their suitability and performance is assessed, in terms of accuracy and computational complexity.