Article2005

Efficient numerical strategies for spectral stochastic finite element models

Doo Bo Chung · Miguel A. Gutiérrez · Lori L. Graham-Brady · Frederik Jan Lingen

37 citations0/0 files storedInternational Journal for Numerical Methods in Engineering

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Probabilistic and Robust Engineering Design Advanced Numerical Methods in Computational Mathematics Matrix Theory and Algorithms

Abstract

The use of spectral stochastic finite element models results in large systems of equations requiring specialized solution strategies. This paper discusses three different numerical algorithms for solving these large systems of equations. It presents a trade-off of these algorithms in terms of memory usage and computation time. It also shows that the structure of the spectral stochastic stiffness matrix can be exploited to accelerate the solution process, while keeping the memory usage to a minimum. Copyright © 2005 John Wiley & Sons, Ltd.

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References

1991Stochastic Finite Elements: A Spectral Approach 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations 1996Numerical solution of spectral stochastic finite element systems 1987Basis random variables in finite element analysis 2003A multigrid solver for two-dimensional stochastic diffusion equations 2004Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering

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