Preconditioning Legendre Spectral Collocation Methods for Elliptic Problems II: Finite Element Operators

DOI10.1137/S0036142999365072zbMath1004.65118OpenAlexW4242649875MaRDI QIDQ2719211

Seymour V. Parter

Publication date: 21 June 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142999365072

zbMATH Keywords

eigenvaluespreconditioningbilinear finite elementsLegendre-Gauss-Lobatto quadratureLegendre spectral collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

The collocation solution of Poisson problems based on approximate Fekete points ⋮ Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations ⋮ Preconditioning on high-order element methods using Chebyshev-Gauss-Lobatto nodes ⋮ On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation ⋮ Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations

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