Residual-Minimizing Krylov Subspace Methods for Stabilized Discretizations of Convection-Diffusion Equations

DOI10.1137/S0895479897325761zbMath0961.65098MaRDI QIDQ4509604

Oliver G. Ernst

Publication date: 19 October 2000

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical exampleGalerkin methodfinite element methodconvection-diffusion equationfield of valuesKrylov subspace methodsstabilization techniquesstreamline diffusion

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (11)

Analysis of algebraic systems arising from fourth‐order compact discretizations of convection‐diffusion equations ⋮ Locally optimal and heavy ball GMRES methods ⋮ Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation ⋮ Convergence of CG and GMRES on a tridiagonal Toeplitz linear system ⋮ Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation ⋮ On the natural stabilization of convection dominated problems using high order Bubnov-Galerkin finite elements ⋮ Convergence analysis of Krylov subspace methods ⋮ The upper and lower bounds for generalized minimal residual method on a tridiagonal Toeplitz linear system ⋮ Parameter-robust preconditioning for the optimal control of the wave equation ⋮ The rate of convergence of GMRES on a tridiagonal Toeplitz linear system ⋮ The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. II

Uses Software

• Schwarz-Christoffel
• SC Toolbox

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