Abstract Inverse Problems for First Order Equations and Their Applications in Mathematical Physics

2000 ◽  
pp. 397-510
Keyword(s):  
Inverse Problems ◽  
Mathematical Physics ◽  
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.

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