Approximation Methods for Inverse Problems Governed by Nonlinear Parabolic Systems

Abstract

We present a rigorous theoretical framework for approximation of nonlinear parabolic systems with delays in the context of inverse least squares problems. Convergence of approximate optimal parameters and that of forward solution in the context of semidiscrete Galerkin schemes are given. Sample numerical results demonstrating the convergence are given for a model of dioxin uptake and elimination in a distributed liver model that is a special case of the general theoretical framework.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 17, 1999
Accession Number
ADA453813

Entities

People

  • C. J. Mussante
  • H. Thomas Banks
  • J. K. Raye

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Chemical Kinetics
  • Computational Science
  • Computations
  • Data Sets
  • Dynamics
  • Equations
  • Experimental Data
  • Inequalities
  • Inverse Problems
  • Mathematical Analysis
  • Mathematical Models
  • Mathematics
  • Simulations
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Analytical Chemistry
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)