Hermes2D, a C++ library for rapid development of adaptive hp-FEM and hp-DG solvers

In this paper we describe Hermes2D, an open‐source C++ library for the development and implementation of adaptive higher‐order finite element and DG solvers for partial differential equations (PDE) and multiphysics coupled PDE problems. The library is suitable for applications ranging from simple linear PDE solvers to time‐dependent solvers for nonlinear multiphysics coupled problems with dynamically changing meshes. We cover several typical application scenarios, and give a brief overview of methods and algorithms that the library provides. Numerical examples are provided.