The main strength of Hermes is a modern adaptive higher-order finite element technology that includes
- Curvilinear elements.
- Reduced mesh generation needs.
- Arbitrary-level hanging nodes.
- Scalar and vector-valued approximations.
- Advanced nonlinear solver capabilities.
- Exponential convergence of adaptive hp-FEM.
- Dozens of time-integration methods.
- Adaptivity with dynamical meshes for time-dependent problems.
- Adaptive multimesh hp-FEM for multiphysics coupled problems.
Some the above points are discussed in more detail below:
Same graphs as above but now in terms of CPU time: