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• W2015648923 abstract "The least-squares Legendre and Chebyshev pseudospectral methods are presented for a first-order system equivalent to a second-order elliptic partial differential equation. Continuous and discrete homogeneous least-squares functionals using Legendre and Chebyshev weights are shown to be equivalent to the H1(Omega)$ norm and Chebyshev-weighted Div-Curl norm over appropriate polynomial spaces, respectively. The spectral error estimates are derived. The block diagonal finite element preconditioner is developed for the both cases. Several numerical tests are demonstrated on the spectral discretization errors and on performances of the finite element preconditioner." @default.
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• W2015648923 date "2003-01-01" @default.
• W2015648923 modified "2023-10-04" @default.
• W2015648923 title "Pseudospectral Least-Squares Method for the Second-Order Elliptic Boundary Value Problem" @default.
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• W2015648923 doi "https://doi.org/10.1137/s0036142901398234" @default.
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