Necessary extremum conditions of convex differential inclusions with phase constraints

1981 ◽  
Vol 33 (1) ◽  
pp. 85-88 ◽  
Author(s):  
B. N. Pshenichnyi ◽  
V. N. Gurov
Keyword(s):  
Differential Inclusions ◽  
Phase Constraints ◽  
Necessary Extremum Conditions ◽  
Extremum Conditions

Analysis of 2-D Impedance Cloaking Problem Based on Boundary Element Method

2014 ◽  
Vol 635-637 ◽  
pp. 3-6
Author(s):  
Gennady V. Alekseev ◽  
Andrei Baydin ◽  
Olga Larkina
Keyword(s):  
Boundary Element Method ◽  
Control Problem ◽  
Boundary Element ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Optimality System ◽  
Homogenous Medium ◽  
Necessary Extremum Conditions ◽  
Extremum Conditions ◽  
Element Method

Control problems are considered for a two-dimensional model describing wave scattering in an unbounded homogenous medium containing an impenetrable covered (cloaked) boundary. The control is a surface impedance which enters the boundary condition as a coefficient. The solvability of the original scattering problem for 2-D Helmholtz equation and of the control problem is proved. Optimality system dгescribing the necessary extremum conditions are derived. The algorithm for numerical solving of the control problem based on the optimality system and boundary element method is designed.

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