Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provid
Least-squares finite element methods
β Scribed by Pavel B. Bochev, Max D. Gunzburger
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Leaves
- 664
- Series
- Applied mathematical sciences 166
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book offers a thorough and systematic examination of theoretical and computational aspects of least-squares finite element methods. The range of topics spans formal mathematical analysis and framework for least squares methods, application of this framework to concrete partial differential equations and discussion of the computational properties of the methods.
The abstract least-squares framework will help readers navigate the realm of least-squares methods while the many numerical examples provide a valuable practical guide to these methods. Most of the necessary background material is contained in several appendices.
Chapter summaries and detailed illustrations are included . Graduate students and computational science researchers will find this book useful.
β¦ Subjects
ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°;ΠΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°;ΠΠ΅ΡΠΎΠ΄ ΠΊΠΎΠ½Π΅ΡΠ½ΡΡ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ²;
π SIMILAR VOLUMES
<p><P>The book examines theoretical and computational aspects of least-squares finite element methods(LSFEMs) for partial differential equations (PDEs) arising in key science and engineering applications. It is intended for mathematicians, scientists, and engineers interested in either or both the t
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provid
<p>This is the first book devoted to the least-squares finite element method (LSFEM), which is a simple, efficient and robust technique for the numerical solution of partial differential equations. The book demonstrates that the LSFEM can solve a broad range of problems in fluid dynamics and electro