Application of the Fast Automatic Differentiation Technique for Solving Inverse Coefficient Problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542520010042 ◽

2020 ◽

Vol 60 (1) ◽

pp. 15-25 ◽

Author(s):

A. F. Albu ◽

Yu. G. Evtushenko ◽

V. I. Zubov

Keyword(s):

Automatic Differentiation ◽

Fast Automatic Differentiation ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Differentiation Technique ◽

Inverse Coefficient

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Inverse coefficient problems for a first order hyperbolic system

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.02.008 ◽

2016 ◽

Vol 106 ◽

pp. 98-115

Author(s):

Mansur I. Ismailov ◽

Ibrahim Tekin

Keyword(s):

Hyperbolic System ◽

First Order ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Inverse Coefficient

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Chapter 11. Inverse coefficient problems for parabolic and elliptic equations

Inverse and Ill-posed Problems ◽

10.1515/9783110224016.319 ◽

2011 ◽

Keyword(s):

Elliptic Equations ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Inverse Coefficient

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Solving of Inverse Coefficient Problems on Networks of Radial Basis Functions

10.1007/978-3-030-91581-0_31 ◽

2021 ◽

pp. 230-237

Author(s):

Vladimir I. Gorbachenko ◽

Dmitry A. Stenkin

Keyword(s):

Radial Basis Functions ◽

Basis Functions ◽

Inverse Coefficient Problems ◽

Radial Basis ◽

Coefficient Problems ◽

Inverse Coefficient

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SOME NEW CLASSES OF INVERSE COEFFICIENT PROBLEMS IN ENGINEERING MECHANICS AND COMPUTATIONAL MATERIAL SCIENCE BASED ON BOUNDARY MEASURED DATA

Mathematics in Science and Technology ◽

10.1142/9789814338820_0012 ◽

2011 ◽

Author(s):

A. HASANOV

Keyword(s):

Material Science ◽

Measured Data ◽

Computational Material Science ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Computational Material ◽

Engineering Mechanics ◽

Inverse Coefficient

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Inverse Coefficient Problems for Variational Inequalities: Optimality Conditions and Numerical Realization

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2001109 ◽

2001 ◽

Vol 35 (1) ◽

pp. 129-152 ◽

Author(s):

Michael Hintermüller

Keyword(s):

Variational Inequalities ◽

Optimality Conditions ◽

Numerical Realization ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Inverse Coefficient

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Inverse coefficient problems for parabolic hemivariational inequalities

Acta Mathematica Scientia ◽

10.1016/s0252-9602(11)60318-4 ◽

2011 ◽

Vol 31 (4) ◽

pp. 1318-1326

Author(s):

Liu Zhenhai ◽

I. Szántó

Keyword(s):

Hemivariational Inequalities ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Inverse Coefficient

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Chapter 10. Inverse coefficient problems for hyperbolic equations

Inverse and Ill-posed Problems ◽

10.1515/9783110224016.249 ◽

2011 ◽

Keyword(s):

Hyperbolic Equations ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Inverse Coefficient

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Chapter 4. Inverse coefficient problems for partial differential equations

Elements of the Theory of Inverse Problems ◽

10.1515/9783110943252.121 ◽

2014 ◽

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Inverse Coefficient

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Inverse coefficient problems for nonlinear elliptic variational inequalities

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-011-0042-5 ◽

2010 ◽

Vol 27 (1) ◽

pp. 85-92 ◽

Author(s):

Run-sheng Yang ◽

Yun-hua Ou

Keyword(s):

Variational Inequalities ◽

Nonlinear Elliptic ◽

Elliptic Variational Inequalities ◽

Inverse Coefficient Problems ◽

Coefficient Problems ◽

Inverse Coefficient

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Generalized fast automatic differentiation technique

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542516110075 ◽

2016 ◽

Vol 56 (11) ◽

pp. 1819-1833 ◽

Author(s):

Yu. G. Evtushenko ◽

V. I. Zubov

Keyword(s):

Automatic Differentiation ◽

Fast Automatic Differentiation ◽

Differentiation Technique

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