DUNE

"DUNE, the Distributed and Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports the easy implementation of methods like Finite Elements (FE), Finite Volumes (FV), and also Finite Differences (FD).

 The underlying idea of DUNE is to create slim interfaces allowing an efficient use of legacy and/or new libraries. Modern C++ programming techniques enable very different implementations of the same concept (i.e. grids, solvers, …) using a common interface at a very low overhead. Thus DUNE ensures efficiency in scientific computations and supports high-performance computing applications.

The framework consists of a number of modules which are downloadable as separate packages. There is a set of core modules which are used by most other packages. The dune-grid core module already contains some grid implementation and further grid managers are available as extra modules. Main discretization modules providing the infrastructure for solving partial differential equations using DUNE are available as separate modules. The modular structure of DUNE allows to only use a small set of th modules (e.g., only the solver module dune-istl or the module dune-localfunctions containing shape functions without for example using the dune-grid or a full discretization module).

For further information, have a look at the main features, read the documentation for application writers or get in touch with the people actively developing DUNE."

https://dune-project.org/