The numerical solution of the non-stationary, incompressible Navier–Stokes model can be
split into linearized auxiliary problems of Oseen type. We present in a unique way different …

We study stabilized FE approximations of SUPG type to the incompressible Navier–Stokes
problem. Revisiting the analysis for the linearized model, we show that for conforming LBB …

Mixed finite element formulations give rise to large, sparse, block linear systems of
equations, the solution of which is often sought via a preconditioned iterative technique. In …

Discretization and linearization of the incompressible Navier–Stokes equations leads to
linear algebraic systems in which the coefficient matrix has the form of a saddle point …

The development of robust and efficient algorithms for both steady-state simulations and
fully implicit time integration of the Navier–Stokes equations is an active research topic. To …

Newton's method for the incompressible Navier—Stokes equations gives rise to large
sparse non-symmetric indefinite matrices with a so-called saddle-point structure for which …

We describe some new preconditioning strategies for handling the algebraic systems of
equations that arise from discretization of the incompressible Navier–Stokes equations. We …

Mixed finite element formulations of fluid flow problems lead to large systems of equations of
saddle‐point type for which iterative solution methods are mandatory for reasons of …

In the first part of this thesis we are concerned with the constitutive the-ory for incompressible
fluids characterized by a continuous monotone rela-tion between the velocity gradient and …

One successful approach in the design of solution methods for saddle‐point problems
requires the efficient solution of the associated Schur complement problem. In the case of …