scientific article

zbMath1131.65030MaRDI QIDQ3022244

Kuniyoshi Abe, Shao-Liang Zhang

Publication date: 23 June 2005

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite difference methodnumerical examplesiterative methodHelmholtz equationgeneralized minimal residual methodstationary diffusion equationvariable preconditioninggeneralized conjugate residual methodinner-loop and outer-looplarge sparse liner system

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems ⋮ Effects of high-frequency damping on iterative convergence of implicit viscous solver ⋮ A New Type of Variable Preconditioning for a Generalized Minimum Residual Scheme ⋮ A variable preconditioned GCR\((m)\) method using the GSOR method for singular and rectangular linear systems ⋮ Iterative Approximation of Preconditioning Matrices Through Krylov-Type Solver Iterations

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