Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9667122 | Computer Methods in Applied Mechanics and Engineering | 2005 | 19 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Howard C. Elman, Oliver G. Ernst, Dianne P. O'Leary, Michael Stewart,