 |
General: 663 |
P4: Solving the steady state diffusion equation with uncertainty
Author: Virginia Forstall , Advisor: Howard Elman (CS)
Problem Statement Presentation
Project Proposal
Abstract
The goal of this project is to efficiently solve a steady state diffusion equation with a random coefficient. Although, such equations can be solved using Monte-Carlo methods, the lengthy computation time can be constraining. Using a Karhunen-Loeve expansion allows the random coefficient to be approximated with a finite sum of random variables. This expansion combined with a Galerkin method or stochastic collocation method reduces computation time.
MidYear Progress Report and
Presentation
Final Presentation ,
Final Report
