Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems
Copyright policy )Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems
Bilinear finite element preconditioners for Legendre spectral collocation schemes are investigated. The work deals with \(H^1\) condition numbers of the preconditioned operators for elliptic problems. The singular values of the preconditioned spectral operators are explicitly calculated. The efficiency of a damped Jacobi iterative method (like GMRES or Bi-CGSTAB) is discussed.
Iterative numerical methods for linear systems, singular values, Numerical computation of matrix norms, conditioning, scaling, condition numbers, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, GMRES, preconditioners, Boundary value problems for second-order elliptic equations, Bi-CGSTAB, finite element, Spectral, collocation and related methods for boundary value problems involving PDEs, Legendre spectral collocation, spectral operators, Jacobi iterative method
Iterative numerical methods for linear systems, singular values, Numerical computation of matrix norms, conditioning, scaling, condition numbers, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, GMRES, preconditioners, Boundary value problems for second-order elliptic equations, Bi-CGSTAB, finite element, Spectral, collocation and related methods for boundary value problems involving PDEs, Legendre spectral collocation, spectral operators, Jacobi iterative method
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