A Numerical Method of Local Energy Decay for the Boundary Controllability of Time‐Reversible Distributed Parameter Systems | Zendy

Pedregal Pablo | Zendy; Periago Francisco | Zendy; Villena Jorge | Zendy

Premium

A Numerical Method of Local Energy Decay for the Boundary Controllability of Time‐Reversible Distributed Parameter Systems

Author(s) -

Pedregal Pablo,

Periago Francisco,

Villena Jorge

Publication year - 2008

Publication title -

studies in applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0022-2526

DOI - 10.1111/j.1467-9590.2008.00406.x

Subject(s) - mathematics , controllability , mathematical analysis , wave equation , numerical analysis , boundary value problem , rectangle , boundary (topology) , bernoulli's principle , convergence (economics) , cauchy problem , backward euler method , computation , euler equations , initial value problem , physics , geometry , algorithm , economics , thermodynamics , economic growth

This paper deals with the numerical computation of the boundary controls of linear, time‐reversible, second‐order evolution systems. Based on a method introduced by Russell ( Stud. Appl. Math. LII(3) (1973)) for the wave equation, a numerical algorithm is proposed for solving this type of problems. The convergence of the method is based on the local energy decay of the solution of a suitable Cauchy problem associated with the original control system. The method is illustrated with several numerical simulations for the Klein–Gordon and the Euler–Bernoulli equations in 1D, the wave equation on a rectangle, and the plate equation on a disk.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research