Finite elements and fast iterative solvers: with applications in incompressible fluid dynamics Models of incompressible fluid flow The Poisson equation Solution of discrete Poisson problems The Stokes equations Solution of discrete Stokes problems Optimization with PDE constraints The convection diffusion equation Solution of discrete convection diffusion problems The Navier Stokes equations Solution of discrete Navier Stokes problems Solution of unsteady Navier Stokes problems Solution of models of buoyancy driven flow