title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð±ÑÑÑÑÐ¾Ð³Ð¾ Ð³ÑÐ°Ð´Ð¸ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸ÑÐµÐ»ÑÐ½Ð¾ Ðº Ð·Ð°Ð´Ð°ÑÐ°Ð¼ ÑÐ±Ð¾ÑÐºÐ¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Research of fast gradient method as applied to assembly simulation
Creators: name: ÐÑÐ°ÑÐ½Ð¸ÐºÐ¾Ð², Ð Ð¾Ð¼Ð°Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð±ÑÑÑÑÑÐ¹ Ð³ÑÐ°Ð´Ð¸ÐµÐ½ÑÐ½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´
Ð·Ð°Ð´Ð°ÑÐ° ÑÐ±Ð¾ÑÐºÐ¸
ÐºÐ²Ð°Ð´ÑÐ°ÑÐ¸ÑÐ½Ð¾Ðµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
fast gradient method
assembly simulation
quadratic programming

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description: This work is dedicated to application of fast gradient method for assembly simulation. The key point of this research is identification of the best versions of the fast gradient method for such simulation. For this purpose, there are theoretical basis of the method and its modifications, and numerical experiments with the test problems. There is a necessity to solve quadratic programming problems multiple time while assembly simulation, that is why test problems considered as a series of quadratic programming problems with fixed stiffness matrix and different forces vectors. Stiffness matrix of such problems is symmetric, positive-definite and, usually, ill-conditioned. Therefore, the results of this research can be used for solving such quadratic programming problems. As a result of this research there are developed recommendations for usage of different versions of fast gradient method and identified the best modifications of it.