Least-Squares Finite Element Methods
(Sprache: Englisch)
Finite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of PDEs. This book is a thorough yet concise guide to the theory and practice of least-square finite element methods.
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Produktinformationen zu „Least-Squares Finite Element Methods “
Finite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of PDEs. This book is a thorough yet concise guide to the theory and practice of least-square finite element methods.
Klappentext zu „Least-Squares Finite Element Methods “
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 provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.
Inhaltsverzeichnis zu „Least-Squares Finite Element Methods “
Part I. Survey of Variational Principles and Associated Finite Element Methods- Classical Variational Methods
- Alternative Variational Formulations
Part II. Abstract Theory of Least-Squares Finite Element Methods
- Mathematical Foundations
- First-Order Agmon-Douglis-Nirenberg Systems
Part III. Least-Squares Methods for Elliptic Problems
- Basic First-Order Systems
- Application to Key Elliptic Problems
Part IV. Extensions of Least-Squares Methods to other Problems
- The Navier-Stokes Equations
- Dissipative Time Dependent Problems
- Hyperbolic Problems
- Control and optimization Problems
- Other Topics
Part V. Supplementary Material
- A. Analysis Tools
- B. Finite Element Spaces
- C. Discrete Norms and Operators
- D. The Complementing Condition
Bibliographische Angaben
- Autoren: Pavel B. Bochev , Max D. Gunzburger
- 2009, 660 Seiten, Maße: 16,6 x 24,4 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387308881
- ISBN-13: 9780387308883
- Erscheinungsdatum: 23.03.2009
Sprache:
Englisch
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