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Journal of Shanghai University >

2012 , Vol. 18 >Issue 3: 256 - 260

DOI: https://doi.org/10.3969/j.issn.1007-2861.2012.03.008

Mathematics.Physics and Chemistry

Legendre Triangle Spectral Element Method for the Elliptic Equation

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  • (1. College of Sciences, Shanghai University, Shanghai 200444, China;2. School of Physical Mathematical Sciences, Nanyang Technological University, Singapore 637616, Singapore)

Online published: 2012-06-30

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Abstract

The Legendre triangle spectral element method, based on a recent presented triangletorectangle mapping, is applied to the elliptic equation in complex geometry with combined boundary conditions. Numerical experiments for the problem in several different domains are given to confirm the validity of the method. 

Key words： elliptic equation; Legendre spectral element method; triangle

Cite this article

ZHANG Shuai-yin1,MA He-ping1,WANG Li-lian2 . Legendre Triangle Spectral Element Method for the Elliptic Equation[J]. Journal of Shanghai University, 2012 , 18(3) : 256 -260 . DOI: 10.3969/j.issn.1007-2861.2012.03.008

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