On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations
The numerical solution of linear convection-diffusion equations is considered. Finite difference discretization leads to an algebraic system solved by a suitable preconditioned CG method, where the preconditioning approach is based on equivalent operators. Our goal is to study the superlinear convergence of the preconditioned CG iteration and to find mesh independent behaviour on a model problem. This is an analogue of previous results where FEM discretization was used.
KeywordsConjugate Gradient Method Superlinear Convergence Equivalent Operator Linear Convergence Coercivity Condition
Unable to display preview. Download preview PDF.