Solving PDEs in Python: The FEniCS Tutorial I (Simula SpringerBriefs on Computing)
暫譯: 在 Python 中解決偏微分方程:FEniCS 教程 I (Simula SpringerBriefs on Computing)
Hans Petter Petter Langtangen
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商品描述
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.
商品描述(中文翻譯)
這本書提供了一個簡明且溫和的介紹,針對基於流行的 FEniCS 軟體庫的 Python 有限元素程式設計。透過一系列範例,包括泊松方程、線性彈性方程、不可壓縮的 Navier–Stokes 方程,以及非線性對流–擴散–反應方程組,它引導讀者快速解決 FEniCS 中的偏微分方程(PDE)的基本步驟,例如如何定義有限變分問題、如何設置邊界條件、如何解決線性和非線性系統,以及如何可視化解和結構有限元素 Python 程式。
這本書在 CC BY 授權下開放存取。