Stochastic Finite Integration Technique Formulation for Electrokinetics

A stochastic finite integration technique formulation of an electrokinetic problem is derived applying the polynomial chaos expansion. The formulation is able to provide the uncertainty quantification of fields and integral quantities. It is applied to a test case representing an industrial application and the obtained results are in good agreement with those calculated by means of Monte Carlo simulations, with the advantage of a reduction in the computational time.