Projection Method for Solving Scalar Problem of Diffraction of a Plane Wave on a System of Two- and Three-dimensional Obstacles

摘要：

　　We investigate scalar problem of diffraction of a plane wave on a system of obstacles consisting of disjoint smooth screens Ωi and volume inhomogeneous bodies Qj . The original boundary value problem leads to a system of weakly singular integral equations on two-and three-dimensional manifolds. We obtain important results on smoothness of the solution to the system of the integral equations in the interior points of the screens, on the equivalence of the integral equations to the original boundary value problem. Finally we prove the invertibility of the integral operator. We propose Galerkin method for numerical solving of the integral equations. We prove the approximation property for the piecewise constant basis functions as well as the statement of Galerkin method convergence.

作者: M.Yu.Medvedik Yu.G.Smirnov A.A.Tsupak D.V.Valovik

作者单位: Penza State University, Russia

会议类型: 国际会议

会议名称: Progress in Electromagnetics Research Symposium 2014(2014年电磁学研究新进展学术研讨会)

会议地点: 广州

会议语种:英文

页码: 1986-1990

在线出版日期: 2014-08-01（万方平台首次上网日期，不代表论文的发表时间）