Recurrent Quantification Analysis for Model Reduction of Nonlinear Transient Electro-quasistatic Field Problems

Simulations of nonlinear transient electro-quasistatic field problems with implicit time integration methods require the solution of large-scale systems of nonlinear algebraic equations at each time step. Such numerical simulations may become computationally expensive. Reduced basis methods are employed to overcome the problem of high computational costs. Here, a reduced basis framework that is based on recurrent quantification analysis is proposed, in order to generate reduced bases for strongly nonlinear transient electro-quasistatic field problems.