Automated Solution of Differential Equations by the Finite Element Method

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.

Unique synthesis of theory and computer code Takes readers from an introductory tutorial through to cutting-edge research in scientific computing Demonstrates a modern software approach to solving problems spanning fluid flow, solid mechanics, electromagnetics and geophysics Includes supplementary material: sn.pub/extras

Autorentext
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.