Hermes hp-FEM & hp-DG Library

Hermes is a C++ library for rapid development of adaptive hp-FEM / hp-DG solvers. Novel hp-adaptivity algorithms help solve a large variety of problems ranging from ODE and stationary linear PDE to complex time-dependent nonlinear multiphysics PDE systems.

Current Release

Hermes version 3.1 (bugfix release) has been released.
It contains the 3.0 features, such as DG limiters, Taylor L2 shapeset, MATIO import / export of algebraic structures, as well as lots of optimizations, both CPU-related, and memory-related.
This is primarily a bugfix, stable release, with all examples, tutorials, documentation etc.
See the section Download below for download.

Download

• Library Repository
  git clone https://github.com/hpfem/hermes.git
• Tutorials
  git clone https://github.com/hpfem/hermes-tutorial.git
• Examples
  git clone https://github.com/hpfem/hermes-examples.git
• Windows prebuilt dependencies and libraries
  git clone https://github.com/l-korous/hermes-windows.git
• Debian package download
  Launchpad repository

• Instructions for building and using Hermes on Windows

Documentation

• Library:
  • HTML
  • PDF
• Tutorial & Examples:
  • Tutorial

  
  

  • Examples
• Doxygen Documentation:
  • Common library
  • Hermes2D

Highlights

• L2, H1, HCurl, HDiv Sobolev spaces, polynomial degree up to 10
• Hanging nodes of arbitrary order
• Multimesh: component-specific meshes w/o projections or interpolations
• Time-adaptivity with multitude of pre-implemented Runge-Kutta methods
• Coupled problems solved together with hp-DG and hp-FEM
• hp-Adaptivity based on reference solution and local projections

Space-time adaptivity	Dynamical meshes	Curved elements	Adaptive multimesh
See more in the Gallery.

• OpenMP parallelization
• C++ templates for unified handling of real and complex problems
• Own OpenGL visualization & VTK outputs of meshes, spaces, solutions
• User-friendly written easy-to-grasp code
• XML, BSON save / load of the most important classes
• Solvers interfaces: UMFPACK, PARALUTION, PETSc, MUMPS, …
• GMSH, ExodusII mesh formats
• Matlab, MatrixMarket matrix exports
• Well arranged doxygen documentation
• Exception safe API