The least squares collocation method for the biharmonic equation in irregular and multiply-connected domains

Vasily Shapeev; Sergey Golushko; Luka Bryndin; Vasily Belyaev

doi:10.1088/1742-6596/1268/1/012076

The least squares collocation method for the biharmonic equation in irregular and multiply-connected domains

Vasily Shapeev, Sergey Golushko, Luka Bryndin, Vasily Belyaev

Результат исследования: Научные публикации в периодических изданиях › статья по материалам конференции

1 Цитирования (Scopus)

Аннотация

This paper reports new h-and p-versions of the least squares collocation method of high-order accuracy proposed and implemented for solving boundary value problems for the biharmonic equation in irregular and multiply-connected domains. This paper shows that approximate solutions obtained by the least squares collocation method converge with high order and agree with analytical solutions of test problems with high degree of accuracy. There has been a comparison made for the results achieved in this study and results of other authors who used finite difference and spectral methods.

Язык оригинала	английский
Номер статьи	012076
Число страниц	7
Журнал	Journal of Physics: Conference Series
Том	1268
Номер выпуска	1
DOI	https://doi.org/10.1088/1742-6596/1268/1/012076
Состояние	Опубликовано - 16 июл 2019
Событие	All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019 - Novosibirsk, Российская Федерация Продолжительность: 13 мая 2019 → 17 мая 2019

Доступ к документу

10.1088/1742-6596/1268/1/012076

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «The least squares collocation method for the biharmonic equation in irregular and multiply-connected domains». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{5589af2db8f64a00bd49e7aa8ccaf0e8,

title = "The least squares collocation method for the biharmonic equation in irregular and multiply-connected domains",

abstract = "This paper reports new h-and p-versions of the least squares collocation method of high-order accuracy proposed and implemented for solving boundary value problems for the biharmonic equation in irregular and multiply-connected domains. This paper shows that approximate solutions obtained by the least squares collocation method converge with high order and agree with analytical solutions of test problems with high degree of accuracy. There has been a comparison made for the results achieved in this study and results of other authors who used finite difference and spectral methods.",

keywords = "ELEMENT METHOD",

author = "Vasily Shapeev and Sergey Golushko and Luka Bryndin and Vasily Belyaev",

year = "2019",

month = jul,

day = "16",

doi = "10.1088/1742-6596/1268/1/012076",

language = "English",

volume = "1268",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

note = "All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019 ; Conference date: 13-05-2019 Through 17-05-2019",

}

The least squares collocation method for the biharmonic equation in irregular and multiply-connected domains. / Shapeev, Vasily ; Golushko, Sergey; Bryndin, Luka; Belyaev, Vasily.

В: Journal of Physics: Conference Series, Том 1268, № 1, 012076, 16.07.2019.

Результат исследования: Научные публикации в периодических изданиях › статья по материалам конференции

TY - JOUR

T1 - The least squares collocation method for the biharmonic equation in irregular and multiply-connected domains

AU - Shapeev, Vasily

AU - Golushko, Sergey

AU - Bryndin, Luka

AU - Belyaev, Vasily

PY - 2019/7/16

Y1 - 2019/7/16

N2 - This paper reports new h-and p-versions of the least squares collocation method of high-order accuracy proposed and implemented for solving boundary value problems for the biharmonic equation in irregular and multiply-connected domains. This paper shows that approximate solutions obtained by the least squares collocation method converge with high order and agree with analytical solutions of test problems with high degree of accuracy. There has been a comparison made for the results achieved in this study and results of other authors who used finite difference and spectral methods.

AB - This paper reports new h-and p-versions of the least squares collocation method of high-order accuracy proposed and implemented for solving boundary value problems for the biharmonic equation in irregular and multiply-connected domains. This paper shows that approximate solutions obtained by the least squares collocation method converge with high order and agree with analytical solutions of test problems with high degree of accuracy. There has been a comparison made for the results achieved in this study and results of other authors who used finite difference and spectral methods.

KW - ELEMENT METHOD

UR - http://www.scopus.com/inward/record.url?scp=85073915160&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1268/1/012076

DO - 10.1088/1742-6596/1268/1/012076

M3 - Conference article

AN - SCOPUS:85073915160

VL - 1268

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012076

T2 - All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019

Y2 - 13 May 2019 through 17 May 2019

ER -