General Ray Method for Solution of Dirichlet Boundary Value Problem for Helmholtz Equations
An approach for solution of the Dirichlet boundary value problems for Helmholtz equations on the base of the General Rays Principle is considered.The proposed approach to the problem under investigation consists in constructing for considering PDE an analogue as family of ODE,describing the distribution of the electrical potential function u(x; y)along of General Rays,which are presented by straight lines.The scheme of reduction PDE to the family of ODE uses the application of the direct Radon transform to PDE.This reduction leads to ODE with respect to variable p.Development of proposed scheme leads to the General Ray method,which presents the solution of the considering problem by explicit analytical formulas that include the direct and inverse Radon transforms.Developed versions of the General Ray method for considering class of problems is realized as algorithms and program package in MATLAB system,illustrated by numerical experiments.
Alexandre Grebennikov A.Lizbeth Cortés Cortés
Facultad de Ciencias Físico Matemáticas,Benemérita Universidad Autónoma de Puebla Av.San Claudio y Río verde,Ciudad Universitaria,Puebla,Pue.,CP 72570,Mexico
国际会议
Progress in Electromagnetics Research Symposium 2013(2013年电磁学研究新进展学术研讨会)
台北
英文
117-120
2013-03-01（万方平台首次上网日期，不代表论文的发表时间）