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Characteristic fractional step finite difference method for nonlinear section coupled system
  • ISSN号：0253-4827
  • 期刊名称：《应用数学和力学：英文版》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]Institute of Mathematics, Shandong University, Jinan 250100, P. R. China, [2]School of Economics, Shandong University, Jinan 250100, P. R. China
  • 相关基金：Project supported by the Major State Basic Research Program of China （No. 19990328）, the Na- tional Tackling Key Program （No. 20050200069）, the National Natural Science Foundation of China （Nos. 10372052, 10771124, 11101244, and 11271231）, and the Doctorate Foundation of the State Ed- ucation Commission （No. 20030422047）
作者： 袁益让[1], 李长峰[2], 孙同军[1], 刘允欣[1]
中文摘要：

For the section coupled system of multilayer dynamics of fluids in porous media, a parallel scheme modified by the characteristic finite difference fractional steps is proposed for a complete point set consisting of coarse and fine partitions. Some techniques, such as calculus of variations, energy method, twofold-quadratic interpolation of product type, multiplicative commutation law of difference operators, decomposition of high order difference operators, and prior estimates, are used in theoretical analysis.Optimal order estimates in l2 norm are derived to show accuracy of the second order approximation solutions. These methods have been used to simulate the problems of migration-accumulation of oil resources.

英文摘要：

For the section coupled system of multilayer dynamics of fluids in porous media, a parallel scheme modified by the characteristic finite difference fractional steps is proposed for a complete point set consisting of coarse and fine partitions. Some tech- niques, such as calculus of variations, energy method, twofold-quadratic interpolation of product type, multiplicative commutation law of difference operators, decomposition of high order difference operators, and prior estimates, are used in theoretical analysis. Optimal order estimates in 12 norm are derived to show accuracy of the second order approximation solutions. These methods have been used to simulate the problems of migration-accumulation of oil resources.

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期刊信息
  • 《应用数学和力学：英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编：周哲玮
  • 地址：上海市宝山区上大路99号上海大学122信箱
  • 邮编：200444
  • 邮箱：amm@department.shu.edu.cn
  • 电话：021-66135219 66165601
  • 国际标准刊号：ISSN：0253-4827
  • 国内统一刊号：ISSN：31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,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）,波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,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,美国应用力学评论
  • 被引量:541