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Solving PDEs in Python: The Fenics Tutorial I by Hans Langtangen




Solving PDEs in Python: The Fenics Tutorial I - Table of Contents

  • 1. Preliminaries and fenics python installation configuration environment
  • 2. Fundamentals: Solving the Poisson Equation and poisson equation variational formulation weak form
  • 3. A Gallery of Finite Element Solvers and finite element solvers heat fluid mechanics python
  • 4. Subdomains and Boundary Conditions and dirichlet neumann boundary conditions subdomains
  • 5. Extensions: Improving the Poisson Solver and non linear poisson solver optimization fenics
  • 6. References

What You Will Learn in Solving PDEs in Python: The Fenics Tutorial I

Solving PDEs in Python: The FEniCS Tutorial I by Hans Langtangen and Anders Logg is an accessible, open-access textbook bridging partial differential equation theory with modern numerical computing. Structured systematically across core chapters, this volume covers variational formulations, finite element discretization, Poisson solvers, non-linear boundary conditions, multi-domain mesh handling, and high-performance simulation workflows.

Tailored for undergraduate STEM majors, computational engineering researchers, and scientific software developers, Prof. Langtangen provides a step-by-step entry into automated PDE solving using the FEniCS platform. Readers are guided through mathematical weak forms, custom function spaces, Dirichlet and Neumann boundary conditions, and solver performance optimizations.

Prized for its applied computational approach, clear executable Python code snippets, and practical engineering focus, it stands as one of the best finite element PDE python textbooks pdf available for study. It systematically equips scientists and programmers with essential numerical tools for mastering computational partial differential equations with confidence.

Book Details & Specifications

Title: Solving PDEs in Python: The Fenics Tutorial I by Hans Langtangen
Publisher: Springer
Year: 2017
Pages: 152
Type: PDF
Language: English
ISBN-10 #: 3319524615
ISBN-13 #: 978-3319524610
License: CC BY 4.0
Amazon: Amazon

About the Author: Hans Petter Langtangen

The author Hans Petter Langtangen (1962–2016) was a distinguished Norwegian computer scientist, professor at the University of Oslo, and Center Director at Simula Research Laboratory.

A pioneer in open computational science education, Prof. Langtangen authored multiple renowned textbooks on scientific Python programming, finite element techniques, and numerical solution strategies for differential equations.


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