Langtangen, Hans Petter.

Solving PDEs in Python The FEniCS Tutorial I / [electronic resource] : by Hans Petter Langtangen, Anders Logg. - 1st ed. 2016. - XI, 146 páginas17 ilustraciones, 16 ilustraciones in color. online resource. - Simula SpringerBriefs on Computing, 3 2512-1685 ; . - Simula SpringerBriefs on Computing, 3 .

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.

Open Access

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.

9783319524627

10.1007/978-3-319-52462-7 doi


Mathematics-Data processing.
Algorithms.
Information visualization.
Computer software.
Numerical analysis.
Software engineering.
Computational Science and Engineering.
Algorithms.
Data and Information Visualization.
Mathematical Software.
Numerical Analysis.
Software Engineering.

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