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- W2355717577 abstract "The key to solve Poisson-type equations in polar coordinates is its singularity at r=0.In this paper,a Legendre spectral element method(SEM)based on the Galerkin variational formulation for solving the Poisson-type equations in polar coordinates was proposed.The physical domain was divided into a number of elements and the Legendre polynomials were adopted in every computational element. Further,the Legendre-Gauss-Radau(LGR)quadrature points were used in the elements which involved the origin while Legendre-Gauss-Lobatto(LGL)quadrature points in the others in the radial direction, so that the 1/r coordinate singularity was avoided successfully.As to the azimuthal direction,the LGL quadrature points were employed.The clustering of collocation points near the pole could be prevented through the technique of domain decomposition.Finally,the method was applied to several Poisson-type equations subject to a Dirichlet or Neumann boundary condition.The numerical results demonstrate that the SEM has high accuracy." @default.
- W2355717577 created "2016-06-24" @default.
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- W2355717577 date "2012-01-01" @default.
- W2355717577 modified "2023-09-23" @default.
- W2355717577 title "A Legendre spectral element method for solving Poisson-type equation in polar coordinates" @default.
- W2355717577 hasPublicationYear "2012" @default.
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