Pages

• Credits People and third-party software who make Rodin possible.
• Partial differential equations Showcases how to use Rodin to solve PDEs.
  • Solving the Poisson equation Resolution of the Poisson equation using Rodin.
  • Solving the elasticity equation Showcases the resolution of the elasticity system.
• Examples and tutorials Examples utilizing the Rodin library.
  • Working with MMG Showcases the usage of the Rodin::External::MMG module.
    • Simple input/output of MMG objects How to read and write MMG objects.
    • Optimizing the mesh How to optimize the mesh.
    • Adapting the mesh How to adapt the mesh.
    • Casting between MMG and Rodin How to convert from MMG to Rodin objects and vice-versa.
  • Density optimization examples Implementation of density optimization algorithms.
    • Temperature minimization Temperature.
  • Shape optimization examples Implementation of shape optimization algorithms.
    • Shape optimization of a cantilever Shows how to optimize the shape of a cantilever.
    • Shape optimization of a cantilever via the level set method Body-fitted optimization of a cantilever via the level set method.
• General concepts General concepts and design of Rodin features.
  • Installation and Setup How to install and configure Rodin on your system.
  • First Steps with Rodin Understanding the basics and creating your first Rodin program.
  • Your First Problem: Solving the Poisson Equation A complete walkthrough of solving a PDE with Rodin.
  • Understanding Core Concepts Deep dive into meshes, finite elements, and variational formulations.
  • Meshes Comprehensive guide to working with meshes in Rodin.
    • Mesh Creation How to create and load meshes in Rodin.
    • Mesh Connectivity Understanding and computing connectivity relations.
    • Mesh Iteration Iterating over mesh entities.
    • Geometric Queries Querying mesh properties and measurements.
    • Mesh Input/Output Saving and loading meshes.
    • Advanced Utilities Advanced mesh operations and transformations.
  • Polytopes How to use the polytopes defined in Rodin.
  • Connectivity
  • Ciarlet’s definition of a finite element The Ciarlet finite element.
  • Finite element spaces Spaces in Rodin.
• Notation Explanation of the notation used throughout the documentation.
• Bibliography