Fast MOR-Based Approach to Uncertainty Quantification in Transcranial Magnetic Stimulation

We propose a new technique based on parametric model order reduction to efficiently calculate the polynomial chaos expansion of the induced electric field in the human brain in the framework of transcranial magnetic stimulation. A comparison to the traditional non-intrusive method based on regression is provided. The relative differences of the mean and the standard deviation less than 0.1% show the accuracy of the proposed method. The new algorithm accelerates the computations by more than two orders of magnitude. In this way, the computational overhead in the case of uncertainty quantification is considerably decreased with respect to the standard methods.