Efficient Iterative Algorithms for the Stochastic Finite Element Method with Application to Acoustic Scattering

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 sorage, and we demonstrate that block iterative methods for algebraic systems with multiple right hand sides can be used to advantage to compute this solution. Finally, we examine the behavior of these statistical quantities in one setting derived from a model of acoustic scattering.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2002
Accession Number
ADA597009

Entities

People

  • Dianne P. O'leary
  • Howard Elman
  • Michael Stewart
  • Oliver G. Ernst

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Scattering
  • Algorithms
  • Boundaries
  • Computations
  • Computer Science
  • Eigenvalues
  • Equations
  • Finite Element Analysis
  • Helmholtz Equations
  • Integral Equations
  • Linear Algebra
  • Linear Systems
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables
  • Scattering

Fields of Study

  • Mathematics

Readers

  • Acoustical Oceanography.
  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Mathematical Modeling and Probability Theory.