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无界区域KPZ方程的自然边界元和有限元的耦合算法
  • ISSN号：0253-2778
  • 期刊名称：《中国科学技术大学学报》
  • 时间：0
  • 分类：O242.21[理学—计算数学;理学—数学]
  • 作者机构：[1]中国科学院数学与系统科学研究院计算数学与科学工程计算研究所科学与工程计算国家重点实验室,北京100080
  • 相关基金：Supported by the National Basic Research （973） Program of China （No. 2005CB321701）, the National Natural Science Foundation of China（No. 10531080）, and the Beijing Natural Science Foundation （No. 1072009）.
作者： 刘东杰[1], 余德浩[1]
关键词： 拟线性抛物方程, 自然边界元, 耦合, 有限元, quasilinear parabolic equation, natural boundary element, coupling, finite element
中文摘要：

考虑了二维无界区域Kardar—Parisi—Zhang（KPZ）方程的自然边界元和有限元的耦合算法．通过Cole—Hopf变换，原问题在人工边界外化为线性问题，得到边界上的Poisson求积公式和自然积分方程后，原问题化为一个等价的有界区域问题．数值算例说明了这种方法的可行性及有效性．

英文摘要：

The coupling method of natural boundary element and finite element for solving Kardar-Parisi-Zhang （KPZ） equation in two-dimensional unbounded domains was discussed. Then by Cole-Hopf transformation, the original problem was linearized outside the artificial boundary, then the Poisson integral equation and natural integral equation were obtained. The original problem was reduced to an equivalent problem in bounded domain. A numerical example was provided to show the feasibility and efficiency of the method.

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无界区域KPZ方程的自然边界元和有限元的耦合算法(英文)
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期刊信息
  • 《中国科学技术大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学技术大学
  • 主编：何多慧
  • 地址：安徽省合肥市金寨路96号
  • 邮编：230026
  • 邮箱：JUST@USTC.EDU.CN
  • 电话：0551-63601961 63607694
  • 国际标准刊号：ISSN：0253-2778
  • 国内统一刊号：ISSN：34-1054/N
  • 邮发代号:26-31
  • 获奖情况:
  • 1999年，全国优秀高等学校自然科学学报及教育部优...,2001年，安徽省1999-2001年度优秀科技期刊一等奖,2002年，第三届华东地区优秀期刊奖
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  • 被引量:8237