Preconditioned Hermitian and Skew-Hermitian Splitting Method for Finite Element Approximations of Convection-Diffusion Equations

DOI10.1137/080730974zbMath1202.65156arXiv0807.3490OpenAlexW1971554239MaRDI QIDQ3584142

Cristina Tablino-Possio, Alessandro Russo

Publication date: 19 August 2010

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

Full work available at URL: https://arxiv.org/abs/0807.3490

zbMATH Keywords

convergence clustering numerical experiments preconditioning finite element spectral analysis non-Hermitian matrix matrix sequences splitting iteration methods structured and unstructured meshes

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Preconditioners for iterative methods (65F08)

Related Items (6)

Quasi-optimal preconditioners for finite element approximations of diffusion dominated convection-diffusion equations on (nearly) equilateral triangle meshes ⋮ On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations ⋮ On the spectrum of stiffness matrices arising from isogeometric analysis ⋮ Convergence analysis of HSS-multigrid methods for second-order nonselfadjoint elliptic problems ⋮ Modified HSS iteration methods for a class of non-Hermitian positive-definite linear systems ⋮ Spectral analysis and preconditioning techniques for radial basis function collocation matrices

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