A development of isogeometric boundary element method for 3D electromagnetic wave scattering problem due to perfect electric conductors

2018 ◽  
Vol 2018.67 (0) ◽  
pp. 513
Author(s):  
Tetsuro HIRAI ◽  
Toru TAKAHASHI ◽  
Shota TAKEUCHI ◽  
Hiroshi ISAKARI ◽  
Toshiro MATSUMOTO
Keyword(s):  
Electromagnetic Wave ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Electromagnetic Wave Scattering ◽  
Element Method

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.

Rayleigh-wave scattering by shallow cracks using the indirect boundary element method

2009 ◽  
Vol 6 (3) ◽  
pp. 221-230 ◽  
Author(s):  
R Ávila-Carrera ◽  
A Rodríguez-Castellanos ◽  
F J Sánchez-Sesma ◽  
C Ortiz-Alemán
Keyword(s):  
Boundary Element Method ◽  
Rayleigh Wave ◽  
Boundary Element ◽  
Wave Scattering ◽  
Indirect Boundary Element Method ◽  
Rayleigh Wave Scattering ◽  
Element Method

Boundary Element Method for Horizontally Polarized Shear Wave Scattering by an Elliptical Cavity in Orthotropic Graded Saturated Porous Media

2014 ◽  
Vol 638-640 ◽  
pp. 412-415
Author(s):  
Jun Qiao Liu ◽  
Hui Qin Duan ◽  
Xing Li
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Shear Wave ◽  
Wave Scattering ◽  
Mass Density ◽  
Linear Equations ◽  
Boundary Surface ◽  
Dirac Delta ◽  
Elliptical Cavity ◽  
Element Method

The shear wave scattering due to an elliptical cavity in an infinitely long strip of orthotropic graded saturated porous (OGSP) media is studied with the boundary element method (BEM). The shear modulus and the mass density of the OGSP are assumed to have exponential forms. Using Biot's theory, the governing equations are developed for OGSP. The fundamental function is obtained by separating variables in terms of the Dirac delta function. A system of linear equations describing the displacement on the ellipse is obtained by applying the linear BEM. The numerical results for the normalized boundary surface displacements in the scattering field are presented with different OGSP coefficients. The effects of many parameters are evaluated with numerical examples. These results are expected to have great technical interest for determining boundary stability when elastic waves interact with OGSP cavities.

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