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A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem

✍ Scribed by Bialecki, Bernard; Karageorghis, Andreas

Book ID
118189659
Publisher
Society for Industrial and Applied Mathematics
Year
2001
Tongue
English
Weight
211 KB
Volume
22
Category
Article
ISSN
1064-8275

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A Galerkin-Legendre spectral method for the direct solution of Poisson and Helmholtz equations in a three-dimensional rectangular domain is presented. The method extends Jie Shen's algorithm for 2D problems by using the diagonalization of the three mass matrices in the three spatial directions and f