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三维非线性多层渗流方程耦合系统的差分方法 被引量:4

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摘要 对三维多层非线性渗流方程耦合系统提出适合并行计算的二阶迎风分 数步差分格式,利用变分形式、能量方法、差分算子乘积交换性、高阶差分算子 的分解、先验估计的理论和技巧,得到收敛性的最佳阶的l2误差估计.该方法 已成功地应用到油资源运移聚集数值模拟的生产实际中.
作者 袁益让
出处 《中国科学(A辑)》 CSCD 北大核心 2005年第12期1397-1423,共27页 Science in China(Series A)
基金 国家重点基础研究专项经费(批准号G19990328) 国家攻关计划 国家自然科学基金(批准号:10372052 10271066) 教育部博士点基金(批准号:20030422047)资助项目
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参考文献18

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二级参考文献8

共引文献56

同被引文献27

  • 1袁益让.油藏数值模拟中动边值问题的特征差分方法[J].中国科学(A辑),1994,24(10):1029-1036. 被引量:25
  • 2袁益让.三维热传导型半导体问题的差分方法和分析[J].中国科学(A辑),1996,26(11):973-978. 被引量:33
  • 3萨马尔斯基AA,安德烈耶夫BB.椭圆型方程差分方法[M].武汉大学计算数学教研室译,北京:科学出版社.1984.
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