Least-squares finite element methods / Pavel B. Bochev, Max D. Gunzburger.

Author
Bochev, Pavel B. [Browse]
Format
Book
Language
English
Published/​Created
New York : Springer, 2009.
Description
xxii, 660 pages : illustrations ; 24 cm.

Details

Subject(s)
Series
  • Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 166. [More in this series]
  • Applied mathematical sciences ; 166
Bibliographic references
Includes bibliographical references (p. 625-639), glossary and index.
Contents
  • Pt. I. Survey of Variational Principles and Associated Finite Element Methods
  • 1. Classical Variational Methods
  • 2. Alternative Variational Formulations
  • Pt. II. Abstract Theory of Least-Squares Finite Element Methods
  • 3. Mathematical Foundations of Least-Squares Finite Element Methods
  • 4. The Agmon-Douglis-Nirenberg Setting for Least-Squares Finite Element Methods
  • Pt. III. Least-Squares Finite Element Methods for Elliptic Problems
  • 5. Scalar Elliptic Equations
  • 6. Vector Elliptic Equations
  • 7. The Stokes Equations
  • Pt. IV. Least-Squares Finite Element Methods for Other Settings
  • 8. The Navier-Stokes Equations
  • 9. Parabolic Partial Differential Equations
  • 10. Hyperbolic Partial Differential Equations
  • 11. Control and Optimization Problems
  • 12. Variations on Least-Squares Finite Element Methods
  • Pt. V. Supplementary Material
  • A. Analysis Tools
  • B. Compatible Finite Element Spaces
  • C. Linear Operator Equations in Hilbert Spaces
  • D. The Agmon-Douglis-Nirenberg Theory and Verifying its Assumptions.
ISBN
  • 9780387308883 (hbk.)
  • 0387308881 (hbk.)
OCLC
76935728
RCP
C - S
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