This paper presents the basic concepts and the module structure of the Distributed and
Unified Numerics Environment and reflects on recent developments and general changes …

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 …

Unstructured grid ocean models are advantageous for simulating the coastal ocean and
river–estuary–plume systems. However, unstructured grid models tend to be diffusive and/or …

This paper introduces tIGAr, a library for using the open-source finite element (FE)
automation software FEniCS to perform isogeometric analysis (IGA). The library uses a …

We present an algorithm for the optimization of a class of finite-element integration loop
nests. This algorithm, which exploits fundamental mathematical properties of finite-element …

We recently developed the open-source library tIGAr, which extends the FEniCS finite
element automation framework to isogeometric analysis. The present contribution …

The Julia programming language has evolved into a modern alternative to fill existing gaps
in scientific computing and data science applications. Julia leverages a unified and …

With increasing complexity of HPC workflows, data management services need to perform
expensive I/O operations asynchronously in the background, aiming to overlap the I/O with …

This article surveys research on the application of compatible finite element methods to
large-scale atmosphere and ocean simulation. Compatible finite element methods extend …

Predictive simulations are crucial for the success of many subsurface applications, and it is
highly desirable to obtain accurate non-negative solutions for transport equations in these …