· 2012
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book
- 1,508citations
- 2012year
Short summary
This book introduces FEniCS, an advanced software approach for developing mathematical solvers for differential equations using the finite element method.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces the FEniCS Project's approach to automating finite element solvers.
- Covers mathematical background, software design, and implementation.
- Provides practical applications in fields like fluid flow, solid mechanics, and geophysics.
- Includes computer code as free/open-source software.
AI-generated from the title and abstract; the full text is not read.
Abstract
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Followingare chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
The authors' abstract, as published at the source., 2012 · DOI ↗
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Field: Mechanics of Materials
Mechanics of MaterialsEngineering