Browsing by Subject "Preconditioned conjugate gradient method"
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Article
Finite Difference Schemes for the Cauchy–Navier Equations of Elasticity with Variable Coefficients
(2015)We solve the variable coefficient Cauchy–Navier equations of elasticity in the unit square, for Dirichlet and Dirichlet-Neumann boundary conditions, using second order finite difference schemes. The resulting linear systems ...
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Article
A legendre spectral collocation method for the biharmonic Dirichlet problem
(2000)A Legendre spectral collocation method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which ...
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Article
A Legendre spectral Galerkin method for the biharmonic Dirichlet problem
(2001)A Legendre spectral Galerkin method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which ...
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Article
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients
(2017)We solve the Dirichlet and mixed Dirichlet-Neumann boundary value problems for the variable coefficient Cauchy-Navier equations of elasticity in a square using a Legendre spectral Galerkin method. The resulting linear ...
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Article
A nonoverlapping domain decomposition method for Legendre spectral collocation problems
(2007)We consider the Dirichlet boundary value problem for Poisson's equation in an L-shaped region or a rectangle with a cross-point. In both cases, we approximate the Dirichlet problem using Legendre spectral collocation, that ...