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一个求解障碍问题的非光滑迭代算法（英文）
  • ISSN号：1000-4424
  • 期刊名称：《高校应用数学学报：A辑》
  • 时间：0
  • 分类：O241.7[理学—计算数学;理学—数学]
  • 作者机构：[1]杭州师范大学理学院,浙江杭州310036
  • 相关基金：Supported by NSFC(10731060)
作者： 马国春[1]
关键词： 非光滑牛顿法, 障碍问题, 单调算法, 有限差分法, nonsmooth Newton method, obstacle problem, monotonic algorithm, finite difference method
中文摘要：

讨论了一种求解障碍问题的数值方法.通过有限差分方法得到离散问题,提出了一种源于取一个特殊广义雅可比的非光滑牛顿法的迭代算法.该算法具有单调性和有限步终止性.在文末给出了数值实验.

英文摘要：

This paper discussed a numerical method for solving obstacle problems. Discrete problem were obtained by the finite difference method, and an iterative algorithm, which comes from the nonsmooth Newton method with a special choice of generalized Jacobian, for solving the problems was presented. The algorithm is monotonic and will stop in finite steps. The numerical results were listed at the end of the paper.

同期刊论文项目
科学计算中的线性与非线性数值代数问题研究
期刊论文 77 著作 1
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期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3669