General concepts
General concepts and design of Rodin features.
Getting started with Rodin
New to Rodin? Start here for a comprehensive introduction:
Welcome to Rodin! This guide will help you get started with the Rodin finite element framework. Whether you're new to finite element methods or an experienced practitioner, these guides will walk you through the essentials of using Rodin effectively.
What you'll learn
This Getting Started guide is organized into several sections that will take you from installation to solving your first finite element problem:
- Installation and Setup - How to install Rodin and set up your development environment
- First Steps with Rodin - Basic concepts and your first Rodin program
- Your First Problem: Solving the Poisson Equation - Solving a complete problem: the Poisson equation
- Understanding Core Concepts - Understanding meshes, finite element spaces, and variational formulations
Prerequisites
Before starting, you should have:
- Basic knowledge of C++
- Familiarity with finite element methods (recommended but not required)
- A Linux or macOS system with a C++20 compatible compiler
After completing this guide
Once you've completed the Getting Started guide, you can:
- Explore more examples to see Rodin in action
- Read the general concepts for deeper understanding
- Check out the API reference for detailed information on specific classes and functions
Getting help
If you encounter any issues:
- Check the GitHub repository
- Look at the examples for similar use cases
- Review the guides for conceptual explanations
Geometry
The Geometry module provides comprehensive support for mesh generation, manipulation, and geometric computations in finite element analysis.
For detailed information on specific geometry topics, see:
- Meshes - Working with meshes
- Polytopes - Geometric elements and their properties
- Connectivity - Detailed connectivity information
The finite element method
These guides cover the mathematical foundations of the finite element method and how they are implemented in Rodin:
- Ciarlet's definition of a finite element - The formal definition of a finite element
- Finite element spaces - Overview of available finite element spaces (P0, P1, vector-valued, complex-valued)
Weak formulations and variational problems
Understand how to translate PDEs into variational problems that can be solved using the finite element method:
- Variational formulations in Rodin - Defining bilinear forms, linear forms, boundary conditions, and solving variational problems
- Weak Formulations - From strong form to weak form
- Boundary Conditions - Applying Dirichlet, Neumann, and mixed boundary conditions
- Solvers - Direct and iterative solvers for the assembled linear systems
I/O in Rodin
Rodin provides flexible I/O capabilities for reading and writing meshes, grid functions, and simulation data in various formats:
- I/O in Rodin - Comprehensive guide to input and output, including XDMF, MFEM, and MEDIT formats