Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 199, Issue 37-40, Pages 2472-2486Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.04.001
Keywords
Goal-oriented adaptivity; Stochastic advection-diffusion equations; Stochastic collocation method
Funding
- Brazilian Government, through the Agency CAPES (Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior) [0858/08-0]
- ICES
- JTO under DOE [DE-FC52-08NA28615]
- JTO [00003]
Ask authors/readers for more resources
A goal-oriented analysis of linear, stochastic advection-diffusion models is presented which provides both a method for solution verification as well as a basis for improving results through adaptation of both the mesh and the way random variables are approximated A class of model problems with random coefficients and source terms is cast in a variational setting Specific quantities of interest are specified which are also random variables A stochastic adjoint problem associated with the quantities of interest is formulated and a posteriori error estimates are derived These are used to guide an adaptive algorithm which adjusts the sparse probabilistic grid so as to control the approximation error Numerical examples are given to demonstrate the methodology for a specific model problem. (C) 2010 Elsevier B V. All rights reserved
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available