$H^2$ gradient method for the coefficient identification problem in a partial differential equation

• Kurashiki Daisuke

  Graduate School of Information Science and Technology, Aichi Prefectural University

• Shirota Kenji

  Department of Information Science and Technology, Aichi Prefectural University

Abstract

A numerical method is considered herein for solving the problem of coefficient identification in a linear partial differential equation used to detect damages in steel-concrete composite beams. To identify the numerically unknown coefficient, an iterating algorithm based on the adjoint method is presented. The $H^1$ gradient method is applied to set the search direction in our algorithm. The search direction is selected based on the solution to the weak equation with a bilinear form in the $H^2$ Sobolev space. The effectiveness of our method is confirmed via numerical experiments.

Journal

• JSIAM Letters

  JSIAM Letters 10 (0), 37-40, 2018

  The Japan Society for Industrial and Applied Mathematics

Keywords

• coefficient identification problem in PDE
• H^1 gradient method
• adjoint method

Details

• CRID: 1390564238008209280
• NII Article ID: 130007432990
• DOI: 10.14495/jsiaml.10.37
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/10/0/10_37/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed