摘要
首先介绍p型间断有限元方法,设计求解奇异摄动初值问题的p型间断有限元数值格式.然后算例结果表明,p型间断有限元解的数值通量在节点处具有一致的指数收敛性质.
In this paper the p-version discontinuous Galerkin method was firstly introduced, and the numercial scheme of p-version discontinuous Galerkin method for a singularly perturbed initial value problem is designed. Then numercial results showed that the numerical flux of the p-version discontinuous Galerkin solution at nodes has the uniform exponential rate of convergence property.
出处
《湖南理工学院学报(自然科学版)》
CAS
2015年第3期9-11,共3页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
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
湖南省高校科技创新团队支持计划
关键词
p型间断有限元方法
奇异摄动初值问题
指数收敛
the p-version discontinuous Galerkin method
singularly perturbed initial value problem
exponential rate of convergence