Least-Squares Finite Element Methods

2. Classical Variational Methods
Pavel B. Bochev, Max D. Gunzburger

3. Alternative Variational Formulations
Pavel B. Bochev, Max D. Gunzburger

4. Mathematical Foundations of Least-Squares Finite Element Methods
Pavel B. Bochev, Max D. Gunzburger

5. The Agmon–Douglis–Nirenberg Setting for Least-Squares Finite Element Methods
Pavel B. Bochev, Max D. Gunzburger

6. Scalar Elliptic Equations
Pavel B. Bochev, Max D. Gunzburger

7. Vector Elliptic Equations
Pavel B. Bochev, Max D. Gunzburger

8. The Stokes Equations
Pavel B. Bochev, Max D. Gunzburger

9. The Navier–Stokes Equations
Pavel B. Bochev, Max D. Gunzburger

10. Parabolic Partial Differential Equations
Pavel B. Bochev, Max D. Gunzburger

11. Hyperbolic Partial Differential Equations
Pavel B. Bochev, Max D. Gunzburger

12. Control and Optimization Problems
Pavel B. Bochev, Max D. Gunzburger

13. Variations on Least-Squares Finite Element Methods
Pavel B. Bochev, Max D. Gunzburger

14. Analysis Tools
Pavel B. Bochev, Max D. Gunzburger

15. Compatible Finite Element Spaces
Pavel B. Bochev, Max D. Gunzburger

16. Linear Operator Equations in Hilbert Spaces
Pavel B. Bochev, Max D. Gunzburger

17. The Agmon–Douglis–Nirenberg Theory and Verifying its Assumptions
Pavel B. Bochev, Max D. Gunzburger

Nyckelord: Mathematics, Engineering Fluid Dynamics, Calculus of Variations and Optimal Control, Optimization, Computational Mathematics and Numerical Analysis