无界区域KPZ方程的自然边界元和有限元的耦合算法(英文)  

The coupling method of natural boundary element and finite element for KPZ equation in unbounded domains

作　　者：刘东杰[1] 余德浩[1] 

机构地区：[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

出　　处：《中国科学技术大学学报》2007年第11期1363-1368,1372,共7页JUSTC

基　　金：Supported by the National Basic Research(973) Program of China(No.2005CB321701);the National Natural Science Foundation of China(No.10531080);the Beijing Natural Science Foundation(No.1072009).

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.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.

关 键 词：拟线性抛物方程 自然边界元 耦合 有限元 

分 类 号：O242.21[理学—计算数学]