A FEniCS Tutorial

Contents:

• A FEniCS Tutorial
• Fundamentals
  • The Poisson equation
  • Variational Formulation
  • Implementation (1)
  • Controlling the Solution Process
  • Linear Variational Problem and Solver Objects
  • Examining the Discrete Solution
  • Solving a Real Physical Problem
  • Quick Visualization with VTK
  • Computing Derivatives
  • A Variable-Coefficient Poisson Problem
  • Computing Functionals
  • Visualization of Structured Mesh Data
  • Combining Dirichlet and Neumann Conditions
  • Multiple Dirichlet Conditions
  • A Linear Algebra Formulation
  • Parameterizing the Number of Space Dimensions
• Nonlinear Problems
  • Picard Iteration
  • A Newton Method at the Algebraic Level
  • A Newton Method at the PDE Level
  • Solving the Nonlinear Variational Problem Directly
• Time-Dependent Problems
  • A Diffusion Problem and Its Discretization
  • Implementation (2)
  • Avoiding Assembly
  • A Physical Example
• Creating More Complex Domains
  • Built-In Mesh Generation Tools
  • Transforming Mesh Coordinates
• Handling Domains with Different Materials
  • Working with Two Subdomains
  • Implementation (3)
  • Multiple Neumann, Robin, and Dirichlet Condition
• More Examples
• Miscellaneous Topics
  • Glossary
  • Overview of Objects and Functions
  • User-Defined Functions
  • Linear Solvers and Preconditioners
  • Using a Backend-Specific Solver
  • Installing FEniCS
  • Books on the Finite Element Method
  • Books on Python
  • Acknowledgments
• Troubleshooting
  • Compilation Problems
  • Plotting Problems
  • Problems with Expression Objects
  • Other Problems
  • How To Debug a FEniCS Program?
• What’s New
• Bibliography

Indices and tables

• Index
• Module Index
• Search Page