中国科学技术大学学报
中國科學技術大學學報
중국과학기술대학학보
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA
2007年
11期
1363-1368,1372
,共7页
拟线性抛物方程%自然边界元%耦合%有限元
擬線性拋物方程%自然邊界元%耦閤%有限元
의선성포물방정%자연변계원%우합%유한원
quasilinear parabolic equation%natural boundary element%coupling%finite element
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.
攷慮瞭二維無界區域Kardar-Parisi-Zhang(KPZ)方程的自然邊界元和有限元的耦閤算法.通過Cole-Hopf變換,原問題在人工邊界外化為線性問題,得到邊界上的Poisson求積公式和自然積分方程後,原問題化為一箇等價的有界區域問題.數值算例說明瞭這種方法的可行性及有效性.
고필료이유무계구역Kardar-Parisi-Zhang(KPZ)방정적자연변계원화유한원적우합산법.통과Cole-Hopf변환,원문제재인공변계외화위선성문제,득도변계상적Poisson구적공식화자연적분방정후,원문제화위일개등개적유계구역문제.수치산례설명료저충방법적가행성급유효성.
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.
