We consider a generalized Stokes equation with problem parameters 0 (size of the reaction term) and >0 (size of the diffusion term). We apply a standard finite element method for discretization. Theâ€¦ (More)

To solve a sparse linear system of equations resulting from the finite element approximation of elliptic self-adjoint second order boundary value problems an algebraic multilevel iteration method isâ€¦ (More)

The present paper is devoted to an improvement of the theory of the recently proposed generalized augmented matrix preconditioning method [5]. Namely, we compute a sharp lower bound on eigenvalues ofâ€¦ (More)

In the present paper an improved version of the algebraic multilevel iteration (AMLI) method for finite element matrices, which has been suggested in [6], is proposed. To improve the quality of theâ€¦ (More)

in which A is a large sparse symmetric positive definite matrix, Î» is an eigenvalue and u is a corresponding eigenvector. The evaluation of one or more smallest eigenpairs has much practical interestâ€¦ (More)