The application of special Hermite finite elements coupled with collocation to the 3D Poisson equation

Описание

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2019

Год издания: 2019

Идентификатор DOI: 10.1063/1.5130849

Аннотация: A new C° Hermite element of degree 3 on a cuboid is proposed for the three-dimensional Poisson equation. A feature of the element is that it allows one to apply the collocation technique. As a result, the dimension of the system of equations is reduced without deterioration of the convergence order. Numerical results confirm high eПоказать полностьюfficiency of the proposed method. © 2019 Author(s).

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Издание

Журнал: AIP Conference Proceedings

Выпуск журнала: Vol. 2164

Номера страниц: 110004

ISSN журнала: 0094243X

Издатель: American Institute of Physics Inc.

Персоны

  • Gileva L. (Institute of Computational Modeling of SB RAS, 50/44 Akademgorodok, Krasnoyarsk, 66036, Russian Federation, Siberian Federal University, 79 Svobodny Ave, Krasnoyarsk, 660041, Russian Federation)
  • Karepova E. (Institute of Computational Modeling of SB RAS, 50/44 Akademgorodok, Krasnoyarsk, 66036, Russian Federation, Siberian Federal University, 79 Svobodny Ave, Krasnoyarsk, 660041, Russian Federation)
  • Shaidurov V. (Institute of Computational Modeling of SB RAS, 50/44 Akademgorodok, Krasnoyarsk, 66036, Russian Federation, Siberian Federal University, 79 Svobodny Ave, Krasnoyarsk, 660041, Russian Federation)

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