Automated Solution of Differential Equations by the Finite Element Method - The FEniCS Book

This book is 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 tutorial for readers who are new to the topic. Following the tutorial, chapters in Part I address 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.

Info autore

Garth Wells is President of DataDrivenWebSites.com, Inc., a company that focuses on Web-enabling SQL Server databases. He has designed and implemented database solutions for over seven years, and has successfully implemented database solutions in a number of different industries including computer design, medical informatics, and commercial real estate management. Garth has written for Pinnacle Publishing's newsletter, SQL Server Professional and is the co-author of 10 Projects You Can Do with Microsoft SQL Server 7.

Riassunto

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. Following are 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.

Dettagli sul prodotto

• Con la collaborazione di: Log (Editore), Anders Logg (Editore), Marda (Editore), Kent-Andr Mardal (Editore), Kent-Andre Mardal (Editore), Wells (Editore), Garth Wells (Editore)
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 26.07.2011
• EAN: 9783642230981
• ISBN: 978-3-642-23098-1
• Pagine: 731
• Dimensioni: 196 mm x 263 mm x 47 mm
• Peso: 1702 g
• Illustrazioni: XIII, 731 p. 346 illus., 52 illus. in color.
• Serie: Lecture Notes in Computational Science and Engineering; Lecture Notes in Computational Science and Engineering
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Teoria delle probabilità, stocastica, statistica matematica; C, Mathematics and Statistics, Mathematical and Computational Engineering, Mathematics of Computing, Theoretical, Mathematical and Computational Physics, Earth Sciences, Mathematical physics, Computer mathematics, Numerical analysis, Engineering mathematics, Mathematical theory of computation, Applied mathematics, Computational Science and Engineering, Maths for scientists, Mathematical Software, Computer software, Mathematical and Computational Engineering Applications, Maths for engineers, Earth Sciences, general, Numeric Computing