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线性Sobolev方程的全离散间断有限体积元方法
  • 期刊名称：山东师范大学学报(自然科学版)
  • 时间：2013.3
  • 页码：7-10
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]山东师范大学数学科学学院,济南250014
  • 相关基金：国家自然科学基金资助项目（11171193,10971254）;山东省自然科学基金资助项目（ZR2011AM106）.
  • 相关项目：间断混合体积（和有限体积）元方法的理论及其应用
作者： 于娟|姜子文|
关键词： 线性Sobolev方程, 后退Euler全离散间断有限体积元格式, 最优误差估计, linear Sobolev equations, backward Euler fully discrete discontinuous finite volume elementmethod, optimal error estimate
中文摘要：

笔者给出了线性Sobolev方程后退Euler全离散间断有限体积元格式，得到了该格式的最优L^2模和离散H^1模估计．

英文摘要：

We give the backward Euler fully discrete discontinuous finite volume element scheme for the linear Sobolev equation and obtain the optimal error estimates in L2 -norm and discrete H1 -norm.

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