Art

J-GLOBAL ID：201902261576535701   Reference number：19A0098799

H² gradient method for the coefficient identification problem in a partial differential equation

偏微分方程式における係数同定問題のためのH2勾配法

Author (2)： Kurashiki Daisuke (Graduate School of Information Science and Technology, Aichi Prefectural University) ,  Shirota Kenji (Department of Information Science and Technology, Aichi Prefectural University)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 10  Page： 37-40(J-STAGE)  Publication year： 2018 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： mathematical space ,  *partial differential equation ,  *gradient method ,  concrete ,  steel ,  *system identification ,  coefficient ,  successive approximation ,  computer algorithm ,  search problem ,  experiment ,  evaluation test
Semi thesaurus term： Sobolev space ,  *gradient method ,  numerical experiment ,  iterative method

Author keywords (3)： coefficient identification problem in PDE ,  H^1 gradient method ,  adjoint method

JST classification (3)： Numerical computation  (JE02000J) ,  Other methods of operations research  (KA03070E) ,  System identification  (IA02040O)

Reference (8)：

• 1) M. P. Bendsøe and O. Sigmund, Topology Optimization: Theory, Method, and Application, 2nd ed., Springer, Berlin, 2004.
• 2) M. Dilena and A. Morassi A. Morassi, A damage analysis of steel-concrete composite beams via dynamic methods, Part II, Analytical models and damage detection, J. Vib. Control, 9 (2003), 529-565.
• 3) A. Morassi, G. Nakamura and M. Sini, An inverse dynamical problem for connected beams, European J. Appl. Math., 16 (2005), 83-109.
• 4) J. Wolka, Partial Differential Equations, Cambridge University Press, New York, 1987.
• 5) M. I. Belishev and S. A. Ivanov, Recovering the parameters of the system of connected beams from dynamical boundary measurements, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 324 (2005), 20-42.

Terms in the title (6)： 偏微分方程式 ,  係数 ,  同定 ,  問題 ,  H2 ,  勾配法