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Least-Squares Finite Element Methods

Pavel B. bochev and Max D. Gunzburger
Publisher: 
Springer
Publication Date: 
2009
Number of Pages: 
660
Format: 
Hardcover
Series: 
Applied Mathematical Sciences 166
Price: 
69.95
ISBN: 
9780387308883
Category: 
Monograph
We do not plan to review this book.

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.