Solving PDEs in Python [electronic resource] : The FEniCS Tutorial I / by Hans Petter Langtangen, Anders Logg.Material type: TextSeries: Simula SpringerBriefs on Computing ; 3Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Edition: 1st ed. 2016Description: XI, 146 p. 17 illus., 16 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319524627Subject(s): 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 SystemsAdditional physical formats: Printed edition:: No titleDDC classification: 004 LOC classification: QA71-90Online resources: Click here to access online
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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.
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.