An Efficient Solver for the Stokes equations with Random Inputs
Dong Qu, Jing Yang
Available Online November 2012.
- https://doi.org/10.2991/citcs.2012.208How to use a DOI?
- Random inputs; Wiener-Askey polynomial chaos; Spectral methods; Exponential error convergence
- In this paper we present a high order method to solve the Stokes equations with random coefficients numerically. A stochastic Galerkin approach, based on the truncated Karhunen- Loeve decomposition technique for the stochastic inputs, is used to reduce the original stochastic Stokes equations into a set of deterministic equations for the expansion coefficients. Then a spectral collocation method, together with a block Jacobi iteration is applied to solve the resulting problem. The efficiency of the solver is verified in each model problem by numerical tests, against Monte Carlo simulations.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Dong Qu AU - Jing Yang PY - 2012/11 DA - 2012/11 TI - An Efficient Solver for the Stokes equations with Random Inputs BT - 2012 National Conference on Information Technology and Computer Science PB - Atlantis Press SP - 819 EP - 822 SN - 1951-6851 UR - https://doi.org/10.2991/citcs.2012.208 DO - https://doi.org/10.2991/citcs.2012.208 ID - Qu2012/11 ER -