Hermes Documentation

Thank you for your interest in Hermes!

Hermes is a C++ library for rapid development of adaptive hp-FEM and hp-DG solvers.

This document is organized as follows:

  • Section 1 provides general information about Hermes and the computational methods it uses, and gives references to underlying scientific articles.
  • Section 2 describes how to install Hermes on various hardware platforms, and how to install matrix solver packages and various optional packages.
  • Section 3 explains how to use Git and Github, and how you can contribute to the project if interested.
  • Section 4 contains a tutorial to Hermes2D. Please read this tutorial first even if you are interested in 1D or 3D problems, since the syntax is virtually the same. The tutorial will walk you in small steps through the solution of linear, nonlinear, and time-dependent problems from various engineering and scientific areas, using higher-order elements and adaptivity algorithms, and solving multiphysics coupled problems.
  • Section 5 shows how Hermes performs on numerous benchmarks with known exact solutions. Many of them come from the National Institute for Standards and Technology (NIST). Benchmarks like this are great for assessing the performance of a finite element code.
  • Section 6 presents examples from various application areas such as acoustics, fluid and solid mechanics, electromagnetics, neutronics, quantum chemistry, ground-water flow, and others.
  • Section 7 describes the usage of Hermes3D. Since it is very similar to Hermes2D, we mostly focus on their differences.
  • Section 8 shows how to solve 1D problems using Hermes2D.

This document is under continuous development. If you find bugs, typos, dead links and such, please report them to one of the mailing lists for 1D and 2D problems, or 3D problems – thanks!

Hermes1D

There is no separate Hermes1D library – one-dimensional problems are solved using Hermes2D.

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