摘要
本文介绍局部间断有限元(LDG)方法,构造求解奇异摄动Volterra积分微分方程的LDG数值格式.算例表明,在局部加密网格下,LDG解的数值通量在节点处具有2p+1阶的一致超收敛性质.
In this paper the local discontinuous Galerkin (LDG) numerical scheme for solving singularly perturbed Volterra integro - differential equations is constructed. Numerical example demonstrates that under the layer - adapted meshes the numerical flux of the LDG solution at nodes possesses the 2p + 1 order uniform superconvergenee property.
出处
《数学理论与应用》
2015年第2期18-23,共6页
Mathematical Theory and Applications
基金
国家自然科学基金委数学天元基金资助项目(11426103)
湖南省重点学科建设项目资助和湖南省高校科技创新团队支持计划资助
关键词
局部间断有限元方法
奇异摄动Volterra积分微分方程
一致超收敛
Local Discontinuous Galerkin method
Singularly perturbed Voherra integro - differential equation
Uniform supereonvergenee