Finite element methods for a family of systems of singular perturbation problems of a saddle
point structure are discussed. The system is approximately a linear Stokes problem when …

This survey paper is based on three talks given by the second author at the London Mathematical
Society Durham Symposium on Computational Linear Algebra for Partial Differential …

This book is a tutorial written by researchers and developers behind the FEniCS Project and
explores an advanced, expressive approach to the development of mathematical software. …

Background and Purpose— Wall shear stress (WSS) and pressure are important factors in the
development of cerebral aneurysms. We aimed to develop a computational fluid dynamics …

The heart is a fantastic machine; during a normal lifetime it beats about 2.5 billion times and
pumps 200.000 tons of blood through an enormous system of vessels extending 160.000 …

The brain lacks lymph vessels and must rely on other mechanisms for clearance of waste
products, including amyloid β that may form pathological aggregates if not effectively cleared. It …

In experiments turbulence has previously been shown to occur in intracranial aneurysms.
The effects of turbulence induced oscillatory wall stresses could be of great importance in …

To what extent does the subarachnoid cerebrospinal fluid (CSF) compartment communicate
directly with the extravascular compartment of human brain tissue? Interconnection between …

We review theoretical and numerical models of the glymphatic system, which circulates
cerebrospinal fluid and interstitial fluid around the brain, facilitating solute transport. Models …

It remains an enigma why human beings spend one-third of their life asleep. Experimental
data suggest that sleep is required for clearance of waste products from brain metabolism. …