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Solving PDEs in Python: The FEniCS Tutorial I

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Book Series: Simula SpringerBriefs on Computing ISBN: 9783319524610 9783319524627 Year: DOI: 10.1007/978-3-319-52462-7 Language: English
Publisher: Springer Nature
Subject: Computer Science
Added to DOAB on : 2017-04-11 12:12:58
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Abstract

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.

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