Several cardiovascular diseases are caused from localised abnormal blood flow such as in
the case of stenosis or aneurysms. Prevailing theories propose that the development is …

In this work, a data assimilation method is proposed following an optimise-then-discretise
approach, and is applied in the context of computational haemodynamics. The methodology …

In this work, we develop a posteriori error control for a generalized Boussinesq model in
which thermal conductivity and viscosity are temperature-dependent. Therein, the stationary …

Several advances have been made in data assimilation techniques applied to blood flow
modeling. Typically, idealized boundary conditions, only verified in straight parts of the …

Blood flow simulations can play an important role in medical training and diagnostic
predictions associated to several pathologies of the cardiovascular system. The main …

Most data assimilation studies, incorporating observations into computational blood flow
simulations, have approached the problem exploiting the traditional mathematical …

In this paper we propose a saddle point approach to solve boundary control problems for the
steady Navier-Stokes equations with mixed Dirichlet-Neumann boundary conditions, both in …

In this work, we study a boundary control problem for the evolutionary Navier-Stokes
equations, under mixed boundary conditions, in two dimensions. The cost functional here …

In this work, we study a boundary control problem for the evolutionary Stokes equations,
under mixed boundary conditions, in two and three dimensions. The Stokes equation is a …

In this work, we develop a posteriori error control for a generalized Boussinesq model in
which thermal conductivity and viscosity are temperature-dependent. Therein, the stationary …