Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

We propose a new finite element method for embedded domain computations, which falls in
the category of surrogate/approximate boundary algorithms. The key feature of the proposed …

We propose a new embedded finite element method for the linear advection–diffusion
equation and the laminar and turbulent incompressible Navier–Stokes equations. The …

The immersed boundary (IB) method is both a mathematical formulation and a numerical
method for fluid–structure interaction problems, in which immersed incompressible visco …

We study a recently introduced formulation for fluid-structure interaction problems which
makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method …

We introduce a new formulation for the finite element immersed boundary method which
makes use of a distributed Lagrange multiplier. We prove that a full discretization of our …

We introduce a class of explicit coupling schemes for the numerical solution of fluid–
structure interaction problems involving a viscous incompressible fluid and a general thin …

Immersed boundary (IB) methods deal with incompressible visco-elastic solids interacting
with incompressible viscous fluids. A long-standing issue of IB methods is the challenge of …

In order to understand morphogenesis, it is necessary to know the material properties or
forces shaping the living tissue. In spite of this need, very few in vivo measurements are …