PDEken

PDEken is a software library designed for solving partial differential equations (PDEs). It provides a framework for users to define and solve a variety of PDEs, particularly those that can be expressed in a finite element method (FEM) context. The library aims to be flexible and efficient, supporting different types of elements, mesh adaptivity, and parallel computation.

The core functionality of PDEken revolves around the discretization of PDEs using the finite element method. Users typically define their problem by specifying the PDE in a weak form, the geometry of the domain, and the boundary conditions. PDEken then handles the meshing, assembly of the system of equations, and the solution of the resulting linear or non-linear system. The library is often implemented in languages that facilitate high performance, such as C++ or Fortran, with Python bindings for easier user interaction and scripting.

PDEken is suitable for a range of applications in fields like solid mechanics, fluid dynamics, heat transfer, and electromagnetics. Its design emphasizes modularity, allowing for extensions and customizations to accommodate specific research needs or advanced numerical techniques. The development of PDEken is often driven by a community of researchers and practitioners who contribute to its features and stability.