Optimal equivalent preconditioners. (English) Zbl 0782.65048
Preconditioning strategies for elliptic partial differential operators and their discrete counterparts are compared by a model problem. The technique uses a selfadjoint positive definite operator \(B\) as the preconditioner for the nonselfadjoint convection-diffusion operator \(A\). Preconditioning is done by \(A\)’s leading term plus a positive zeroth order term of the form \(\delta I\). The optimal value of \(\delta\) is also examined.
Reviewer: F.Szidarovszky (Tucson)
MSC:
65F10 | Iterative numerical methods for linear systems |
65F35 | Numerical computation of matrix norms, conditioning, scaling |
65N06 | Finite difference methods for boundary value problems involving PDEs |
35J25 | Boundary value problems for second-order elliptic equations |