When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

The numerical solution of linear elliptic partial differential equations most often involves a
finite element or finite difference discretization. To preserve sparsity, the arising system is …

We are interested in the numerical solution of nonsymmetric linear systems arising from the
discretization of convection–diffusion partial differential equations with separable …

We examine condition numbers, preconditioners, and iterative methods for finite element
discretizations of coercive PDEs in the context of the fundamental solvability result, the Lax …

In this paper, we develop a highly parallelized preconditioner based on multiscale space to
tackle Darcy flow in highly heterogeneous porous media. The crucial component of this …

The subject of the paper is the mesh independent convergence of the preconditioned
conjugate gradient (PCG) method for nonsymmetric elliptic problems. The approach of …

The convergence of the conjugate gradient method is studied for preconditioned linear
operator equations with nonsymmetric normal operators, with focus on elliptic convection …

A preconditioned conjugate gradient method is applied to finite element discretizations of
some nonsymmetric elliptic systems. Mesh independent superlinear convergence is proved …

The superlinear convergence of the preconditioned CGM is studied for nonsymmetric elliptic
problems (convection-diffusion equations) with mixed boundary conditions. A mesh …

The numerical solution of systems of convection-diffusion equations is considered. The
problem is described by a system of second order partial differential equations (PDEs). This …