@article {15745,
	title = {Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	volume = {194},
	year = {2005},
	month = {2005/03/18/},
	pages = {1037 - 1055},
	abstract = {In this study, we describe the algebraic computations required to implement the stochastic finite element method for solving problems in which uncertainty is restricted to right-hand side data coming from forcing functions or boundary conditions. We show that the solution can be represented in a compact outer product form which leads to efficiencies in both work and storage, and we demonstrate that block iterative methods for algebraic systems with multiple right-hand sides can be used to advantage to compute this solution. We also show how to generate a variety of statistical quantities from the computed solution. Finally, we examine the behavior of these statistical quantities in one setting derived from a model of acoustic scattering.},
	keywords = {01, 28, 60, finite element, multigrid, Multiple right-hand side, Scattering, Stochastic},
	isbn = {0045-7825},
	doi = {10.1016/j.cma.2004.06.028},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782504003123},
	author = {Elman, Howard and Ernst, Oliver G. and O{\textquoteright}Leary,Dianne P. and Stewart, Michael}
}
