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

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

In: Journal of Physics: Conference Series, Vol. 1268, No. 1, 012076, 16.07.2019.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@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",

}

RIS

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 -

ID: 22036608