Two-Point Inverse Problems for First Order Equations

2000 ◽  
pp. 511-544
Keyword(s):  
Inverse Problems ◽  
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.

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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