TY - BOOK AU - Langtangen,Hans Petter AU - Logg,Anders ED - SpringerLink (Online service) TI - Solving PDEs in Python: The FEniCS Tutorial I T2 - Simula SpringerBriefs on Computing SN - 9783319524627 AV - QA71-90 U1 - 004 23 PY - 2016/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Computer mathematics KW - Algorithms KW - Mathematics KW - Visualization KW - Computer software KW - Numerical analysis KW - Software engineering KW - Computational Science and Engineering KW - Mathematical Software KW - Numerical Analysis KW - Software Engineering/Programming and Operating Systems N1 - 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 N2 - 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 UR - https://doi.org/10.1007/978-3-319-52462-7 ER -