Aortic dissection continues to be responsible for significant morbidity and mortality, although
recent advances in medical data assimilation and in experimental and in silico models have …

Abstract Machine learning (ML) has benefited from both software and hardware
advancements, leading to increasing interest in capitalising on ML throughout academia …

This work presents a matrix-free finite element solver for finite-strain elasticity adopting an h
p-multigrid preconditioner. Compared to classical algorithms relying on a global sparse …

In the context of numerical simulations of the vascular system, local geometric uncertainties
have not yet been examined in sufficient detail due to model complexity and the associated …

Acoustic wave propagation is often simulated by solving the scalar wave equation with finite
element methods. Following this approach is known for its tendency to significant numerical …

It is well-known that kinetic energy produced artificially by an inadequate numerical
discretization of nonlinear transport terms may lead to a blow-up of the numerical solution in …

In this thesis, evaluation of H (div)-conforming finite elements is implemented in a
highperformance setting and used to solve the incompressible Navier-Stokes equation …