Variational approach for identifying the coefficient of wave equation

• Choi Cheok

• Nakamura Gen

• Shirota Kenji

Abstract

An inverse boundary value problem for identifying the coefficient of some second order hyperbolic equation by one boundary measurement is considered. The problem is transformed to a minimization problem of a functional. By computing the Gateaux derivative of the functional, an algorithm for identifying the coefficient is given based on the projected gradient method. A numerical result is given testing the algorithm.

Journal

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 750 1-16, 2005

  Department of Mathematics, Hokkaido University

Keywords

• 410

Details

• CRID: 1390572174748788224
• NII Article ID: 120006459457
• DOI: 10.14943/83900
• HANDLE: 2115/69558
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles
• Abstract License Flag: Allowed