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A Posteriori Improvement in Projection Method. / Демьянович, Юрий Казимирович; Бурова, Ирина Герасимовна.

In: WSEAS Transactions on Mathematics, Vol. 22, 24.07.2023, p. 544-552.

Research output: Contribution to journal › Article › peer-review

Harvard

Демьянович, ЮК & Бурова, ИГ 2023, 'A Posteriori Improvement in Projection Method', WSEAS Transactions on Mathematics, vol. 22, pp. 544-552. https://doi.org/10.37394/23206.2023.22.60

APA

Демьянович, Ю. К., & Бурова, И. Г. (2023). A Posteriori Improvement in Projection Method. WSEAS Transactions on Mathematics, 22, 544-552. https://doi.org/10.37394/23206.2023.22.60

Vancouver

Демьянович ЮК, Бурова ИГ. A Posteriori Improvement in Projection Method. WSEAS Transactions on Mathematics. 2023 Jul 24;22:544-552. https://doi.org/10.37394/23206.2023.22.60

Author

Демьянович, Юрий Казимирович ; Бурова, Ирина Герасимовна. / A Posteriori Improvement in Projection Method. In: WSEAS Transactions on Mathematics. 2023 ; Vol. 22. pp. 544-552.

BibTeX

@article{f1d1a6d8bb994f41acf0dc2900bff5df,
title = "A Posteriori Improvement in Projection Method",
abstract = "This work is devoted to the refinement of the approximate solution, obtained by the projection method. The proposed approach uses expanding the design space by adding new coordinate functions. As a result, it is possible to clarify previously obtained solution using small computer resources. Applying this approach to the finite element method allows produce a local refinement of the mentioned solution. Suggested Approach illustrated in the finite element method for a boundary value problem second order in one-dimensional and two-dimensional cases.",
keywords = "a posteriori improvement, refinement calculations, variational-grid methods",
author = "Демьянович, {Юрий Казимирович} and Бурова, {Ирина Герасимовна}",
year = "2023",
month = jul,
day = "24",
doi = "10.37394/23206.2023.22.60",
language = "English",
volume = "22",
pages = "544--552",
journal = "WSEAS Transactions on Mathematics",
issn = "1109-2769",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

}

RIS

TY - JOUR

T1 - A Posteriori Improvement in Projection Method

AU - Демьянович, Юрий Казимирович

AU - Бурова, Ирина Герасимовна

PY - 2023/7/24

Y1 - 2023/7/24

N2 - This work is devoted to the refinement of the approximate solution, obtained by the projection method. The proposed approach uses expanding the design space by adding new coordinate functions. As a result, it is possible to clarify previously obtained solution using small computer resources. Applying this approach to the finite element method allows produce a local refinement of the mentioned solution. Suggested Approach illustrated in the finite element method for a boundary value problem second order in one-dimensional and two-dimensional cases.

AB - This work is devoted to the refinement of the approximate solution, obtained by the projection method. The proposed approach uses expanding the design space by adding new coordinate functions. As a result, it is possible to clarify previously obtained solution using small computer resources. Applying this approach to the finite element method allows produce a local refinement of the mentioned solution. Suggested Approach illustrated in the finite element method for a boundary value problem second order in one-dimensional and two-dimensional cases.

KW - a posteriori improvement

KW - refinement calculations

KW - variational-grid methods

UR - https://www.mendeley.com/catalogue/53af84e7-411a-3e9b-af7d-09ffc85140fd/

U2 - 10.37394/23206.2023.22.60

DO - 10.37394/23206.2023.22.60

M3 - Article

VL - 22

SP - 544

EP - 552

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

SN - 1109-2769

ER -

ID: 107446601