A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes.

DOI10.1016/S0045-7825(03)00369-4zbMath1054.76059MaRDI QIDQ1420943

Ali R. Ansari, Alan F. Hegarty

Publication date: 23 January 2004

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Shishkin meshesPreconditioningIterative solversNon-monotone methods

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Diffusion and convection (76R99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (8)

An efficient computational method for a class of singularly perturbed delay parabolic partial differential equation ⋮ A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations ⋮ A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion ⋮ Numerical solutions based on Chebyshev collocation method for singularly perturbed delay parabolic PDEs ⋮ Finite difference scheme for singularly perturbed reaction diffusion problem of partial delay differential equation with nonlocal boundary condition ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A parameter uniform difference scheme for singularly perturbed parabolic delay differential equation with Robin type boundary condition ⋮ An analysis of diagonal and incomplete Cholesky preconditioners for singularly perturbed problems on layer-adapted meshes

Cites Work

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