Solving PDEs in Python [electronic resource] : The FEniCS Tutorial I

• Tác giả: Hans Petter Langtangen, Anders Logg
• Ngôn ngữ: ger
• ISBN-13: 978-3319524627
• Ký hiệu phân loại: 004 Data processing || Computer science
• Thông tin xuất bản: Cham : Springer International Publishing : Imprint: Springer, 2016
• Mô tả vật lý: XI, 146 p. 17 illus., 16 illus. in color. , online resource.
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 170072
• Chủ đề: 1. Algorithms; 2. Computer mathematics; 3. Computer software; 4. Mathematics; 5. Numerical analysis; 6. Software engineering; 7. Visualization; 8. Computational Science and Engineering; 10. Mathematical Software; 11. Numerical Analysis; 12. Software Engineering/Programming and Operating Systems

Tóm tắt

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.