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An Unstructured Spectral Element Method for the LaplaceEigenvalue Problem on Regular Polygons(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年01期
Page:
26-
Research Field:
·数学·
Publishing date:

Info

Title:
An Unstructured Spectral Element Method for the LaplaceEigenvalue Problem on Regular Polygons
Author(s):
Wen Yongsong; Pang Yicheng; Zhang Jun; Zhu Shujuan
School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China
Keywords:
Laplace operator; eigenvalue problem; unstructured spectral element method
PACS:
O241.82
DOI:
10.3969/j.issn.1001-4616.2018.01.006
Abstract:
In this paper,we use an unstructured spectral element method which mixed triangularand quadrangle for the Laplace eigenvalue problem on the regular polygon domain. We construct the basis functions by combing with the Legendre polynomials for the interior element and boundary. The convergence of the eigenvalue and numerical implement are also given. Finally,a series of numerical examples are provided to support the theoretical results and demonstrate the accuracy and efficiency of this methods.

References:

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Last Update: 2018-03-31