Numerical Approximation of Exact Controls for Waves

• Main Authors: Ervedoza, Sylvain (Author), Zuazua, Enrique (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Approximation theory.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; System theory.; Algorithms.; Numerical analysis.; Approximations and Expansions.; Partial Differential Equations.; Systems Theory, Control.; Numerical Analysis.; Applications of Mathematics.

This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional setting of conservative semigroups.The main results of the work u...

Table of Contents:

• 1.Numerical approximation of exact controls for waves
• 2.The discrete 1-d wave equation
• 3.Convergence for homogeneous boundary conditions
• 4.Convergence with non-homogeneous data
• 5. Further comments and open problems
• References.