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Solving PDEs in Python: the FEniCS tutorial I

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 nonlinea...

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Detalles Bibliográficos
Autores principales: Langtangen, Hans Petter, Logg, Anders
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-52462-7
http://cds.cern.ch/record/2258719
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author Langtangen, Hans Petter
Logg, Anders
author_facet Langtangen, Hans Petter
Logg, Anders
author_sort Langtangen, Hans Petter
collection CERN
description 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.
id cern-2258719
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
publisher Springer
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spelling cern-22587192021-04-21T19:16:57Zdoi:10.1007/978-3-319-52462-7http://cds.cern.ch/record/2258719engLangtangen, Hans PetterLogg, AndersSolving PDEs in Python: the FEniCS tutorial IMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:22587192016
spellingShingle Mathematical Physics and Mathematics
Langtangen, Hans Petter
Logg, Anders
Solving PDEs in Python: the FEniCS tutorial I
title Solving PDEs in Python: the FEniCS tutorial I
title_full Solving PDEs in Python: the FEniCS tutorial I
title_fullStr Solving PDEs in Python: the FEniCS tutorial I
title_full_unstemmed Solving PDEs in Python: the FEniCS tutorial I
title_short Solving PDEs in Python: the FEniCS tutorial I
title_sort solving pdes in python: the fenics tutorial i
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-52462-7
http://cds.cern.ch/record/2258719
work_keys_str_mv AT langtangenhanspetter solvingpdesinpythonthefenicstutoriali
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