江西科学2012，Vol.30Issue(2)：121-124,139,5.
Helmholtz方程边值问题奇异解的间断有限元数值方法
Discontinuous Galerkin Method for Helmholtz Boundary Value Problems with Singularities
摘要
Abstract
Consider the numerical method to solve Helmholtz equation with singular boundary value.The singularity comes from the boundary reentry corner or mixed boundary value problem on the boundary of the critical point.For the two cases problems,we introduce an artificial boundary condition in the vicinity of the singular point and give an exactly DtN boundary condition using the local homogeneous boundary conditions.Thus we solve these problems in the domain without singular point.We use discontinuous Galerkin method to solve the boundary value problem.The advantages of DG are allowing the mesh has hanging nodes and adaptive computing.The numerical results show that our algorithm is effective in solving the problem in the approximate domain.关键词
奇异解/人工边界条件/间断有限元Key words
Singular solution/Artificial boundary condition/Discontinuous Galerkin method分类
数理科学引用本文复制引用
赵海峰..Helmholtz方程边值问题奇异解的间断有限元数值方法[J].江西科学,2012,30(2):121-124,139,5.基金项目
致谢：感谢导师刘继军教授在本文完成中的讨论和提出的有效建议. （）
