Stochastic Inverse Problem in the Radiation of Noise

Abstract

A general procedure for regularizing the stochastic inverse source problem is presented. The present approach, based on the minimization of a structural functional, allows the incorporation of a prior knowledge about the structure of the undetermined source. As special cases, it yields the methods of Lagrangian multipliers, Tihonov's regularization and the pseudoinverses. Possible generalization and connection with Franklin's well-posed extensions are discussed briefly.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA074039

Entities

People

  • L. Maestrello
  • P. L. Chow

Organizations

  • Wayne State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Complex Variables
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Far Field
  • Formulas (Mathematics)
  • Information Theory
  • Integral Equations
  • Integrals
  • Inverse Problems
  • Linear Systems
  • New York
  • Quantum Mechanics
  • Wave Equations

Readers

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