Solution of Dual Stochastic Static Formulations Using Double Orthogonal Polynomials

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The solution of stochastic partial differential equations (PDEs) using the spectral stochastic finite-element method (SSFEM) can lead to a very large linear system of equations. If the random input data are independent, it can be shown that the initial linear system can be split into smaller independent linear systems by using double orthogonal polynomials. In this paper, we propose the use of this approach in the case of dual potential formulations in electrokinetics. The method is applied to an electrokinetic problem taking into account the uncertainties on contact resistances.