We outline a new class of robust and efficient methods for solving subproblems that arise in
the linearization and operator splitting of Navier–Stokes equations. We describe a very …

We examine the convergence characteristics of iterative methods based on a new
preconditioning operator for solving the linear systems arising from discretization and …

A Galerkin finite element method is considered to approximate the incompressible Navier–
Stokes equations together with iterative methods to solve a resulting system of algebraic …

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 …

The Portable, Extensible Toolkit for Scientific computing (PETSc), which focuses on the
scalable solution of problems based on partial differential equations, now incorporates new …

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 …

We deal with efficient numerical solution of the steady incompressible Navier–Stokes
equations (NSE) using our in‐house solver based on the isogeometric analysis (IgA) …

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 …

We examine the convergence characteristics of iterative methods based on a new
preconditioning operator for solving the linear systems arising from discretization and …

Flows with moving interfaces (free surface and two-fluid interface problems) appear in
numerous engineering applications. The methods presented in this thesis are oriented …