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ERROR ESTIMATE ON A FULLY DISCRETE LOCAL DISCONTINUOUS GALERKIN METHOD FOR LINEAR CONVECTION-DIFFUSION PROBLEM
  • ISSN号：0254-9409
  • 期刊名称：《计算数学：英文版》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学] O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Mathematics, Nanjing University, Nanjing 210093, China
  • 相关基金：Acknowledgments. The research is supported by NSFC grants 10871093 and 11271187, and partially by NSFC grant 10931004.
作者： Haijin Wang Qiang Zhang[1]
关键词： 最优误差估计, 对流扩散问题, DIRICHLET边界条件, 有限元方法, 线性, 间断, 全离散, 一维对流扩散方程, Runge-Kutta, Local discontinuous Galerkin method, Convection-diffusion equation, Error estimate.
中文摘要：

在这份报纸我们在场为充分分离的本地不连续的 Galerkin 算法到的错误估计在一种尺寸与 Dirichlet 边界状况解决线性传送对流散开方程。时间被第三份订单作为一般在合理时间空间的条件下面预付明确的全部的变化减少 Runge-Kutta 方法。在空间和时间的最佳的错误估计被精力技术的帮助获得，如果我们适当地设置了数字流动和中间的边界条件。[从作者抽象]

英文摘要：

In this paper we present the error estimate for the fully discrete local discontinuous Galerkin algorithm to solve the linear convection-diffusion equation with Dirichlet boundary condition in one dimension. The time is advanced by the third order explicit total variation diminishing Runge-Kutta method under the reasonable temporal-spatial condition as general. The optimal error estimate in both space and time is obtained by aid of the energy technique, if we set the numerical flux and the intermediate boundary condition properly.

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期刊信息
  • 《计算数学：英文版》
  • 主管单位:
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：
  • 地址：北京2719信箱
  • 邮编：100080
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-9409
  • 国内统一刊号：ISSN：11-2126/O1
  • 邮发代号:
  • 获奖情况:
  • 中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库
  • 被引量:193