Martin Sandve Alnæs

TL;DR: The FEniCS Project is a collaborative project for the development of innovative concepts and tools for automated scientific computing, with a particular focus on the solution of differential equations by finite element methods.

TL;DR: The Unified Form Language (UFL) as mentioned in this paper is a domain-specific language for representing weak formulations of partial differential equations with a view to numerical approximation, which has been used to effortlessly express finite element methods for complex systems of PDEs in near-mathematical notation.

TL;DR: The Unified Form Language is presented, which is a domain-specific language for representing weak formulations of partial differential equations with a view to numerical approximation and generates abstract syntax tree representations of variational problems, which are used by other software libraries to generate concrete low-level implementations.

TL;DR: A computational fluid dynamics simulator for flow in the complete circle of Willis was developed to study the impact of variations in vessel radii and bifurcation angles on WSS and pressure on vessel walls and confirmed that differences in vessel radius and asymmetric branch angles influence WSS magnitude and spatial distribution.

TL;DR: This work discusses how the UFC interface enables implementations of variational form evaluation to be independent of mesh and linear algebra components, and proposes a general interface between problem-specific and general-purpose components of finite element programs.