Christian Vergara

TL;DR: New partitioned procedures for fluid-structure interaction problems, based on Robin-type transmission conditions, are designed, which exhibits enhanced convergence properties with respect to the existing partitioning procedures.

TL;DR: This work proposes a simple membrane model to describe the deformation of the arterial wall, which is derived from the Koiter shell equations and is applicable to an arbitrary geometry and derives a stability estimate for the resulting numerical scheme.

TL;DR: This review article will address the two principal components of the cardiovascular system: arterial circulation and heart function, and systematically describe all aspects of the problem, ranging from data imaging acquisition to the development of reduced-order models that are of paramount importance when solving problems with high complexity, which would otherwise be out of reach.

TL;DR: This review paper addresses the so called geometric multiscale approach for the numerical simulation of blood flow problems, from its origin (that the authors can collocate in the second half of '90s) to their days, and details the most popular numerical algorithms for the solution of the coupled problems.

TL;DR: The method is shown to be very efficient for many challenging fluid-structure interaction problems, such as those characterized by a large added-mass effect or by enclosed fluids, and the possibility to solve balloon-type problems without any special treatment makes this algorithm very appealing compared to the computationally intensive existing approaches.