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

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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.

Original languageEnglish
Article number012076
Number of pages7
JournalJournal of Physics: Conference Series
Volume1268
Issue number1
DOIs
Publication statusPublished - 16 Jul 2019
EventAll-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, Russian Federation
Duration: 13 May 201917 May 2019

Keywords

  • ELEMENT METHOD

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