On the Effectiveness of the Fast Automatic Differentiation Methodology

2019 ◽  
pp. 264-276 ◽  
Author(s):  
Alla Albu ◽  
Andrei Gorchakov ◽  
Vladimir Zubov
Keyword(s):  
Automatic Differentiation ◽  
Fast Automatic Differentiation

scholarly journals APPLICATION OF FAST AUTOMATIC DIFFERENTIATION TO SOLVING THE INVERSE COEFICIENT PROBLEMS

2020 ◽  
pp. 004-014
Author(s):  
YU. G. EVTUSHENKO ◽  
◽  
V. I. ZUBOV ◽  
A. F. ALBU ◽  
◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Heat Flux ◽  
Dirichlet Boundary ◽  
Thermal Conductivity Coefficient ◽  
Automatic Differentiation ◽  
Dirichlet Boundary Value Problem ◽  
Temperature Dependent ◽  
Fast Automatic Differentiation ◽  
Temperature Dependent Thermal Conductivity ◽  
Differentiation Technique

The inverse problem under consideration is to determine a temperature-dependent thermal conductivity coefficient from experimental observations of the temperature field in the studied substance and (or) the heat flux on the surface of the object. The study is based on the Dirichlet boundary value problem for the nonstationary heat equation stated in the general n -dimensional formulation. For the numerical solution of the problem an algorithm based on the modern fast automatic differentiation technique is proposed.

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