Stochastic Finite Integration Technique Formulation for Electrokinetics
- 26 February 2014
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Magnetics
- Vol. 50 (2), 573-576
- https://doi.org/10.1109/tmag.2013.2280522
Abstract
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.Keywords
This publication has 9 references indexed in Scilit:
- Refoundation of the Cell Method Using Augmented Dual GridsIEEE Transactions on Magnetics, 2014
- 3-D Stochastic Spectral Finite-Element Method in Static Electromagnetism Using Vector Potential FormulationIEEE Transactions on Magnetics, 2011
- A new set of basis functions for the discrete geometric approachJournal of Computational Physics, 2010
- Numerical Methods for Stochastic ComputationsPublished by JSTOR ,2010
- Error estimation in a stochastic finite element method in electrokineticsInternational Journal for Numerical Methods in Engineering, 2009
- Explicit, Consistent, and Conditionally Stable Extension of FD-TD to Tetrahedral Grids by FITIEEE Transactions on Magnetics, 2008
- Construction of Differential Material Matrices for the Orthogonal Finite-Integration Technique With Nonlinear MaterialsIEEE Transactions on Magnetics, 2008
- Use of Barycentric Dual Grids for the Solution of Frequency Domain Problems by FITIEEE Transactions on Magnetics, 2004
- Stochastic Finite Elements: A Spectral ApproachPublished by Springer Science and Business Media LLC ,1991