Solving PDEs in Python
by Hans Petter Langtangen, Anders Logg
Publisher: Springer 2017
Number of pages: 148
Description:
This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, including the Poisson equation, the equations of linear elasticity, the incompressible Navier-Stokes equations, and systems of nonlinear advection-diffusion-reaction equations, it guides readers through the essential steps to quickly solving a PDE in FEniCS, such as how to define a finite variational problem, how to set boundary conditions, how to solve linear and nonlinear systems, and how to visualize solutions and structure finite element Python programs.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Lectures on The Finite Element Methodby Ph. Ciarlet - Tata Institute of Fundamental Research
Our basic aim has been to present some of the mathematical aspects of the finite element method, as well as some applications of the finite element method for solving problems in Elasticity. This is why some important topics are not covered here.
(12543 views)
First Semester in Numerical Analysis with Juliaby Giray Ökten - Florida State University
The book presents the theory and methods, together with the implementation of the algorithms using the Julia programming language. The book covers computer arithmetic, root-finding, numerical quadrature and differentiation, and approximation theory.
(8752 views)
Numerical Methods For Time Dependent Equationsby P. Lascaux - Tata Institute of Fundamental Research
The solution of time dependent equations of hydrodynamics is a subject of great importance. This book is mainly concentrated on the study of the stability of the various schemes. We have considered only the stability for linearized problems.
(11857 views)
Geometric Transformation of Finite Element Methods: Theory and Applicationsby M. Holst, M. Licht - arXiv.org
We present a new technique to apply finite element methods to partial differential equations over curved domains. Bramble-Hilbert lemma is key in harnessing regularity in the physical problem to prove finite element convergence rates for the problem.
(7469 views)