Fourier Analysis of Finite Element Preconditioned Collocation Schemes

DOI10.1137/0913033zbMath0745.65060OpenAlexW2088362950MaRDI QIDQ3991053

Ernest Mund, Michel O. Deville

Publication date: 28 June 1992

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2060/19900013812

zbMATH Keywords

symbolic computationStokes problemadvection-diffusion equationiteration operatorfinite element preconditioned Fourier collocationfinite element preconditioning schemes

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order hyperbolic equations (35L20) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

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Preconditioned Chebyshev collocation methods and triangular finite elements ⋮ An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations ⋮ Low-Order Preconditioning of High-Order Triangular Finite Elements ⋮ Complex wave-number dispersion analysis of Galerkin and Galerkin least-squares methods for fluid-loaded plates ⋮ Simulation of liquid crystal elastomers using Chebyshev spectral method with a new preconditioner ⋮ The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation ⋮ Chebyshev collocation method and multi-domain decomposition for Navier- Stokes equations in complex curved geometries ⋮ Scalable Low-Order Finite Element Preconditioners for High-Order Spectral Element Poisson Solvers ⋮ Chebyshev collocation solutions of the Navier-Stokes equations using multi-domain decomposition and finite element preconditioning ⋮ Complex wavenumber Fourier analysis of the \(p\)-version finite element method

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