椭圆型方程第三边值问题的伪域方法  

Fictitious Domain Method for Elliptic Equations with Third Boundary Conditions

作　　者：王群[1] 

机构地区：[1]河北科技大学西校区基础部,石家庄050054

出　　处：《工程数学学报》2000年第4期70-74,共5页Chinese Journal of Engineering Mathematics

摘　　要：讨论了椭圆型方程第三边值问题的伪域方法 ,提出了处理问题的新途径 ,同时证明了新方法在结果的精确度上优于 Rukhovets的方法 ;新方法还可以通过对参数ε的外推 ,进一步改善近似解的精度。The fictitious domain method applied to elliptic equations with third boundary conditions is discussed;a new way treating this problem is suggested.It is proved that by the present method the accuracy of the approximate solutions will be higher than the one given by the known Rukhovets’ method,and it is also proved that by the present method the approximate solutions can be extrapolated with respect to the parameter ε,however,for the Rukhovets’method,this is impossible.

关 键 词：椭圆型方程 第三边值问题 伪域方法 数值计算 

分 类 号：O241.82[理学—计算数学] O175.25[理学—数学]