Approximate Global Convergence and Quasi-Reversibility for a Coefficient Inverse Problem with Backscattering Data

Abstract

A numerical method with the approximate global convergence property is developed for a 3-D Coefficient Inverse Problem for a hyperbolic PDE with the backscattering data. An important part of this technique is the quasi-reversibility method. Approximate global convergence theorem is proven. Results of two numerical experiments are presented.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2011
Accession Number
ADA544680

Entities

People

  • Andrey V. Kuzhuget
  • Larisa Beilina
  • Michael Klibanov
  • Vladimir G. Romanov

Organizations

  • University of North Carolina at Charlotte

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Anti-Personnel Mines
  • Backscattering
  • Boundary Value Problems
  • Coefficients
  • Computational Fluid Dynamics
  • Computations
  • Convergence
  • Equations
  • Experimental Data
  • Inverse Problems
  • Land Mines
  • Mathematical Models
  • Mathematics
  • Plane Waves
  • Scattering
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Oncology and Biomarker-Based Cancer Detection.