Inverse Problems for First-Order Discrete Systems

2007 ◽  
pp. 1-24
Author(s):  
Daniel Alpay ◽  
Israel Gohberg
Keyword(s):  
Inverse Problems ◽  
Discrete Systems ◽  
First Order

Degenerate first-order inverse problems in Banach spaces

2012 ◽  
Vol 75 (1) ◽  
pp. 68-77 ◽  
Author(s):  
Mohammed Al Horani ◽  
Angelo Favini
Keyword(s):  
Inverse Problems ◽  
Banach Spaces ◽  
First Order

Microstructure Sensitive Design with First Order Homogenization Theories and Finite Element Codes

2005 ◽  
Vol 495-497 ◽  
pp. 23-30 ◽  
Author(s):  
Surya R. Kalidindi ◽  
J. Houskamp ◽  
G. Proust ◽  
H. Duvvuru
Keyword(s):  
Finite Element ◽  
Inverse Problems ◽  
Mechanical Design ◽  
Materials Design ◽  
Mathematical Framework ◽  
First Order

A mathematical framework called Microstructure Sensitive Design (MSD) has been developed recently to solve inverse problems of materials design, where the goal is to identify the class of microstructures that are predicted to satisfy a set of designer specified objectives and constraints [1]. This paper demonstrates the application of the MSD framework to a specific case study involving mechanical design. Processing solutions to obtain one of the elements of the desired class of textures are also explored within the same framework.

Inverse Problems in Vibration

1986 ◽  
Vol 39 (7) ◽  
pp. 1013-1018 ◽  
Author(s):  
Graham M. L. Gladwell
Keyword(s):  
Inverse Problems ◽  
Eigenvalue Problems ◽  
Discrete Systems ◽  
Free Vibrations ◽  
Continuous Systems ◽  
Thin Beam ◽  
Inverse Eigenvalue Problems ◽  
Elastic Systems ◽  
Inverse Eigenvalue ◽  
Sturm Liouville

This article concerns infinitesimal free vibrations of undamped elastic systems of finite extent. A review is made of the literature relating to the unique reconstruction of a vibrating system from natural frequency data. The literature is divided into two groups—those papers concerning discrete systems, for which the inverse problems are closely related to matrix inverse eigenvalue problems, and those concerning continuous systems governed either by one or the other of the Sturm–Liouville equations or by the Euler–Bernoulli equation for flexural vibrations of a thin beam.

scholarly journals First Order Methods Beyond Convexity and Lipschitz Gradient Continuity with Applications to Quadratic Inverse Problems

2018 ◽  
Vol 28 (3) ◽  
pp. 2131-2151 ◽  
Author(s):  
Jérôme Bolte ◽  
Shoham Sabach ◽  
Marc Teboulle ◽  
Yakov Vaisbourd
Keyword(s):  
Inverse Problems ◽  
First Order ◽  
First Order Methods
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