Algorithm for processing the results of calculations for determining the body of optimal parameters in the weighted finite element method

Algorithm for processing the results of calculations for determining the body of optimal parameters in the weighted finite element method

Автор: Rukavishnikov V.A., Seleznev D.S., Guseinov A.A.

Журнал: Вестник Южно-Уральского государственного университета. Серия: Математическое моделирование и программирование @vestnik-susu-mmp

Рубрика: Программирование

Статья в выпуске: 4 т.15, 2022 года.

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The weighted finite element method allows to find an approximate solution to a boundary value problem with a singularity faster in 106 times than the classical finite element method for a given error equal to 10-3. In this case, it is required to apply the necessary control parameters in the weighted finite element method. The body of optimal parameters is determined on the basis of carrying out and analysing a series of numerical experiments. In this paper we propose an algorithm for processing the results of calculations and determining the body of optimal parameters for the Dirichlet problem and the Lamé system in a domain with one reentrant corner on the boundary taking values from π to 2π.

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Corner singularity, weighted finite element method, body of optimal parameters

Короткий адрес: https://sciup.org/147240331

IDR: 147240331   |   DOI: 10.14529/mmp220406

Список литературы Algorithm for processing the results of calculations for determining the body of optimal parameters in the weighted finite element method

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