The optimal 3-node preconditioner of the \(\frac{d^2}{dx^2}\) Fourier and Chebyshev spectral operators

DOI10.1016/j.jcp.2010.09.016zbMath1202.76095OpenAlexW2056985744MaRDI QIDQ613987

Sumit K. Garg

Publication date: 23 December 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.09.016

zbMATH Keywords

finite element methodfinite difference methodfinite volume methodpreconditioningspectral Fourier and Chebyshev approximations

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Preconditioners for iterative methods (65F08)

Related Items (3)

Finite difference preconditioning for compact scheme discretizations of the Poisson equation with variable coefficients ⋮ A parallel Schwarz preconditioner for the Chebyshev Gauss-Lobatto collocation image operator ⋮ A spectral anelastic Navier-Stokes solver for a stratified two-miscible-layer system in infinite horizontal channel

Cites Work

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• Chebyshev 3-D spectral and 2-D pseudospectral solvers for the Helmholtz equation
• The piecewise-linear finite volume scheme: The best known lowest-order preconditioner for the \(\frac{d^2}{dx^2}\) Chebyshev spectral operator
• Spectral methods for problems in complex geometries
• Preconditioned minimal residual methods for Chebyshev spectral calculations
• Spectrally accurate numerical incompressible flows with deformed boundaries: a finite volume preconditioning method

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