On fast direct Poisson solver, inf-sup constant and iterative Stokes solver by Legendre-Galerkin method

DOI10.1006/JCPH.1995.1017zbMath0822.65083OpenAlexW2089984340MaRDI QIDQ1346519

Jie Shen

Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1006/jcph.1995.1017

zbMATH Keywords

error estimatespectral methodsfast Poisson solverLegendre-Galerkin approximationBabuska-Brezzi inf-sup constantconjugate Uzawa methoditerative Stokes solver

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (11)

Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint ⋮ Error estimates for spectral approximation of elliptic control problems with integral state and control constraints ⋮ A direct solver for the Legendre tau approximation for the two-dimensional Poisson problem ⋮ Space−time spectral approximations of a parabolic optimal control problem with an L²‐norm control constraint ⋮ Error estimates of the space-time spectral method for parabolic control problems ⋮ Error Analysis and Simulation of Galerkin Spectral Approximation for Flow Optimal Control with State Constraint ⋮ Galerkin spectral method for a fourth-order optimal control problem with \(H^1\)-norm state constraint ⋮ Galerkin spectral method for elliptic optimal control problem with \(L^2\)-norm control constraint ⋮ Error estimates for spectral approximation of flow optimal control problem with \(L^2 \)-norm control constraint ⋮ Preconditioned Legendre spectral Galerkin methods for the non-separable elliptic equation ⋮ The triangular spectral element method for Stokes eigenvalues

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