Application of the Fast Automatic Differentiation for Calculation of Gradients of Material's Bulk Modulus and Shear Modulus
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2023-03-03 16:11
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517.9+530.1 (1)
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)
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SM ISO690:2012
ALBU, Alla, ZUBOV, Vladimir. Application of the Fast Automatic Differentiation for Calculation of Gradients of Material's Bulk Modulus and Shear Modulus. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 1(83), pp. 95-106. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(83) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

Application of the Fast Automatic Differentiation for Calculation of Gradients of Material's Bulk Modulus and Shear Modulus
CZU: 517.9+530.1
MSC 2010: 49J20, 93C20.

Pag. 95-106

Albu Alla1, Zubov Vladimir12
 
1 Federal Research Center "Computer Science and Control" of Russian Academy of Sciences,
2 Moscow Institute of Physics and Technology
 
 
Disponibil în IBN: 4 august 2017


Rezumat

In computer modeling of crystal structures the gradient optimization methods are often used. This raises the need to calculate the exact gradients of the Bulk modulus and the Shear modulus of materials. With help of the Fast Automatic Differentiation the formulas that allow the calculation of the exact above-mentioned gradients were derived in the case where the total interatomic energy of the system is determined by Tersoff's Potential.

Cuvinte-cheie
Tersoff potential, Fast Automatic Differentiation,

gradient