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Sobolev方程的全离散有限体积元格式及数值模拟
  • ISSN号：0254-7791
  • 期刊名称：计算数学
  • 时间：2012.5.5
  • 页码：163-172
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]内蒙古大学数学科学学院,呼和浩特010021, [2]华北电力大学数理学院,北京102206, [3]贵州师范大学数学与计算机科学学院,贵阳550001
  • 相关基金：国家自然科学基金（批准号：11061009和11061021）、河北省自然科学基金（批准号A2010001663）、贵州省科技计划项目（批准号：黔科合J字[2011]2367）和内蒙古自治区高等学校研究项目（批准号：NJ10006）资助.
  • 相关项目：适用于交通流快速预测预报的最优化降维模式研究
作者： 李宏|罗振东|安静|孙萍|
关键词： SOBOLEV方程, 有限体积元格式, 全离散格式, 误差估计, Sobolev equation, finite volume element formulation, fully discrete formulation, error estimate
中文摘要：

本文研究二维Sobolev方程的有限体积元方法，给出一种全离散化有限体积元格式及其有限体积元解的误差估计，并用数值例子说明数值计算的结果与理论结果是相吻合的，进一步说明了有限体积元方法比其他数值方法更优越．

英文摘要：

In this paper, a finite volume element method for 2D Sobolev equation is studied and a fully discrete finite volume element formulation and error estimates are derived. Some nu- merical examples illustrate the fact that the results of numerical computation are consistent with theoretical conclusions. Moreover, it is shown that the finite volume element method is more advantageous than others for finding numerical solutions of Sobolev equation.

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期刊信息
  • 《计算数学》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：周爱辉
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：010-62555115
  • 国际标准刊号：ISSN：0254-7791
  • 国内统一刊号：ISSN：11-2125/O1
  • 邮发代号:2-521
  • 获奖情况:
  • 国内外数据库收录:
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  • 被引量:4140