A Unified Framework for Approximation in Inverse Problems for Distributed Parameter Systems,

Abstract

The authors present a theoretical framework that can be used to treat approximation techniques for very general classes of parameter estimation problems involving distributed systems that are either first or second order in time. Using the approach developed, one can obtain both convergence and stability (continuous dependence of parameter estimates with respect to the observations) under very weak regularity and compactness assumptions on the set of admissible parameters. This unified theory can be used for many problems found in the recent literature and in many cases offers significant improvements to existing results. Keywords: Partial differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1987
Accession Number
ADA193780

Entities

People

  • H. Thomas Banks
  • Kazufumi Ito

Organizations

  • Brown University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Boltzmann Equation
  • Composite Materials
  • Computational Fluid Dynamics
  • Computational Science
  • Convergence
  • Differential Equations
  • Elastic Properties
  • Equations
  • Flexible Structures
  • Hilbert Space
  • Inverse Problems
  • Mathematics
  • Mechanics
  • Partial Differential Equations
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.