Parameter Estimation for the Heat Equation on Perforated Domains

Abstract

In this effort, we investigate the behavior of a model derived from homogenization theory as the model solution in parameter estimation procedures for simulated data for heat flow in a porous medium. We consider data simulated from a model on a perforated domain with isotropic flow and data simulated from a model on a homogeneous domain with anisotropic flow. We consider both ordinary and generalized least squares parameter estimation procedures.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 23, 2011
Accession Number
ADA557453

Entities

People

  • Amanda K. Criner
  • D. Cioranescu
  • H. Thomas Banks
  • W. P. Winfree

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Composite Materials
  • Computational Science
  • Data Sets
  • Differential Equations
  • Equations
  • Geometry
  • Heat Transmission
  • Inverse Problems
  • Mathematical Models
  • Mathematics
  • Models
  • Partial Differential Equations
  • Random Variables
  • Simulations
  • Thermal Diffusivity

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Metallurgy
  • Structural Dynamics.