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 discuss an object oriented design of finite element core functionality. It allows to
separate the mathematical definition of the finite element basis functions, the efficient …

Nektar++ is an open-source software framework designed to support the development of
high-performance scalable solvers for partial differential equations using the spectral/hp …

Atherosclerosis is one of the principle pathologies of cardiovascular disease with blood
cholesterol a significant risk factor. The World Health Organization estimates that …

In this paper, we present a series of mathematical abstractions for seismologically relevant
wave equations discretized using finite-element methods, and demonstrate how these …

Nektar++ is an open-source framework that provides a flexible, high-performance and
scalable platform for the development of solvers for partial differential equations using the …

In this paper we describe PDELab, an extensible C++ template library for finite element
methods based on the Distributed and Unified Numerics Environment (Dune). PDELab …

An efficient implementation of an adaptive finite element method on distributed memory
systems requires an efficient linear solver. Most solver methods, which show scalability to a …

Parametric finite elements lead to very efficient numerical methods for surface evolution
equations. We introduce several computational techniques for curvature driven evolution …

The Distributed and Unified Numerics Environment, Version 2.4 Page 1 Archive of
Numerical Software vol. 4, no. 100, 2016, pages 13–29 DOI: 10.11588/ans.2016.100.26526 …