Langtangen, Hans Petter.
Solving PDEs in Python The FEniCS Tutorial I / [electronic resource] : by Hans Petter Langtangen, Anders Logg. - 1st ed. 2016. - XI, 146 p. 17 illus., 16 illus. in color. online resource. - Simula SpringerBriefs on Computing ; 3 . - 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
Computer mathematics.
Algorithms.
Mathematics.
Visualization.
Computer software.
Numerical analysis.
Software engineering.
Computational Science and Engineering.
Algorithms.
Visualization.
Mathematical Software.
Numerical Analysis.
Software Engineering/Programming and Operating Systems.
QA71-90
004
Solving PDEs in Python The FEniCS Tutorial I / [electronic resource] : by Hans Petter Langtangen, Anders Logg. - 1st ed. 2016. - XI, 146 p. 17 illus., 16 illus. in color. online resource. - Simula SpringerBriefs on Computing ; 3 . - 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
Computer mathematics.
Algorithms.
Mathematics.
Visualization.
Computer software.
Numerical analysis.
Software engineering.
Computational Science and Engineering.
Algorithms.
Visualization.
Mathematical Software.
Numerical Analysis.
Software Engineering/Programming and Operating Systems.
QA71-90
004