Publisher Summary The development of mathematical models, algorithms and numerical
simulation tools for the investigation of the human cardiovascular system has received a …

This book is about adaptive mesh generation and moving mesh methods for the numerical
solution of time-dependent partial differential equations. It presents a general framework and …

This comprehensive text focuses on mathematical and numerical techniques for the
simulation of magnetohydrodynamic phenomena, with an emphasis laid on the …

This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …

Discrete geometric conservation laws (DGCLs) govern the geometric parameters of
numerical schemes designed for the solution of unsteady flow problems on moving grids. A …

This paper aims at introducing a partitioned Newton based method for solving nonlinear
coupled systems arising in the numerical approximation of fluid–structure interaction …

We present a formulation for accommodating defective boundary conditions for the
incompressible Navier--Stokes equations where only averaged values are prescribed on …

We overview a three-field formulation of coupled fluid–structure interaction problems where
the flow is modeled by the arbitrary Lagrangian–Eulerian form of either the Euler or Navier …

In this work we focus on the modeling and numerical simulation of the fluid-structure
interaction mechanism in vascular dynamics. We first propose a simple membrane model to …

We present a new computational model for the numerical simulation of blood flow in the
human left heart. To this aim, we use the Navier-Stokes equations in an Arbitrary Lagrangian …