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Solving PDEs in Python : The FEniCS Tutorial I / by Hans Petter Langtangen, Anders Logg.

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Format:
Book
Author/Creator:
Langtangen, Hans Petter., Author.
Logg, Anders., Author.
Series:
Simula SpringerBriefs on Computing, 2512-1677 ; 3
Language:
English
Subjects (All):
Computer science--Mathematics.
Computer science.
Algorithms.
Mathematics.
Visualization.
Computer software.
Numerical analysis.
Software engineering.
Computational Science and Engineering.
Mathematical Software.
Numerical Analysis.
Software Engineering/Programming and Operating Systems.
Local Subjects:
Computational Science and Engineering.
Algorithms.
Visualization.
Mathematical Software.
Numerical Analysis.
Software Engineering/Programming and Operating Systems.
Physical Description:
1 online resource (XI, 146 p. 17 illus., 16 illus. in color.)
Edition:
1st ed. 2016.
Place of Publication:
Springer Nature 2016
Cham : Springer International Publishing : Imprint: Springer, 2016.
Language Note:
English
Summary:
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.
Contents:
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.
Notes:
CC BY
Description based on publisher supplied metadata and other sources.
ISBN:
9783319524627
3319524623
OCLC:
1066184466

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