Firedrake is a new tool for automating the numerical solution of partial differential equations.
Firedrake adopts the domain-specific language for the finite element method of the FEniCS …

We present the Unified Form Language (UFL), which is a domain-specific language for
representing weak formulations of partial differential equations with a view to numerical …

Oceanic tides have the potential to yield a vast amount of renewable energy. Tidal stream
generators are one of the key technologies for extracting and harnessing this potential. In …

Needle-like microstructures are often observed in shape memory alloys near macro-
interfaces that separate regions with different laminate orientation. We study their shape with …

Deep neural networks (DNN) can model nonlinear relations between physical quantities.
Those DNNs are embedded in physical systems described by partial differential equations …

Additive manufacturing of polymer-bonded magnets is a recently developed technique, for
single-unit production, and for structures that have been impossible to manufacture …

The design of rotating fluid devices, such as flow machines, mixers, and separators, with a
focus on performance improvement is of high interest. They usually operate under high …

The use of materials reinforced with fibers has been increasing due to their advantages, for
example, the ratio between its mass and strength. For this reason, new additive …

Design and optimal control problems are among the fundamental, ubiquitous tasks we face
in science and engineering. In both cases, we aim to represent and optimize an unknown …

The incompressibility hypothesis is successfully applied in a broad range of engineering
problems simulated via computational fluid dynamics (CFD) codes. However, depending on …