1.

Record Nr.

UNINA9910169179003321

Autore

Langtangen Hans Petter

Titolo

Solving PDEs in Python [[electronic resource] ] : The FEniCS Tutorial I / / by Hans Petter Langtangen, Anders Logg

Pubbl/distr/stampa

Springer Nature, 2016

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016

ISBN

3-319-52462-3

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (XI, 146 p. 17 illus., 16 illus. in color.)

Collana

Simula SpringerBriefs on Computing, , 2512-1677 ; ; 3

Disciplina

004

Soggetti

Computer mathematics

Algorithms

Mathematics

Visualization

Computer software

Numerical analysis

Software engineering

Computational Science and Engineering

Mathematical Software

Numerical Analysis

Software Engineering/Programming and Operating Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

1 Preliminaries -- 2 Fundamentals: Solving the Poisson Equation -- 3 A Gallery of Finite Element Solvers -- 4 Subdomains and Boundary Conditions -- 5 Extensions: Improving the Poisson Solver -- References.

Sommario/riassunto

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. This book is open access under a CC BY license.