Error Estimators for Proper Generalized Decomposition in Time-Dependent Electromagnetic Field Problems

Due to fine discretization in space and time, the simulation of transient electromagnetic phenomena results in a large system of equations. To cope with this computational effort, model-order reduction techniques can be employed. To assess the accuracy of the solution of the reduced model, an error estimation is crucial. A commonly used approach consists in the evaluation of the deviation between the reduced and the full model. This yields a loss of the a priori property of the proper generalized decomposition. To overcome this problem, two a priori criteria are presented in this article.