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Solving PDEs in Python

Solving PDEs in Python

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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.

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Keywords

  • Algorithms
  • Business applications
  • Calculus & mathematical analysis
  • Combinatorics & graph theory
  • Computational Science and Engineering
  • Computer programming / software development
  • Computing & information technology
  • Data and Information Visualization
  • FEniCS
  • Finite element
  • Mathematical & Statistical Software
  • Mathematical Software
  • Mathematics
  • Mathematics & science
  • Maths for scientists
  • Numerical analysis
  • open access
  • Operating Systems
  • Partial Differential equations
  • Python
  • Science: general issues
  • simulation
  • Software engineering
  • Software Engineering/Programming and Operating Systems
  • thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis
  • thema EDItEUR::P Mathematics and Science::PB Mathematics::PBV Combinatorics and graph theory
  • thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists
  • thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software
  • thema EDItEUR::U Computing and Information Technology::UM Computer programming / software engineering::UMZ Software Engineering
  • Visualization

Editions

edition cover
Contributors: Hans Petter Langtangen, Anders Logg,
1 ebooks
Publisher: Springer Nature
Published: 2016
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