A Finite-Element Variable Time-Stepping Algorithm for the Solution of the Electromagnetic Diffusion Equation

摘要

The paper presents a methodology of the Backward Differentiation Formula (BDF) for the variable time-stepping finite-element discretization. The back-history damping matrix in the BDF has been solved. The developed BDF formulation was implemented for solving the Electromagnetic Diffusion equation for first order finite elements. The final discrete system has been formulated to include magnetic nonlinearity. An initial-guess prediction algorithm was adapted for fast convergence. The algorithm was programmed in C language.