一类非线性椭圆问题的schwarz算法  

A SCHWARZ ALGORITHM FOR SOLVING A KIND OF NONLINEAR ELLIPTIC PROBLEMS

作　　者：周叔子[1] 曾金平[1] 单桂华[1] 

机构地区：[1]湖南大学数学与计量经济学院,长沙410082

出　　处：《计算数学》2003年第2期171-176,共6页Mathematica Numerica Sinica

基　　金：国家自然科学基金资助项目.

摘　　要：A kind of nonlinear elliptic problems has been solved by a Schwarz algorithm.An asymptotic geometric convergence rate is derived, and a numerical method forthe subproblems is proposed. Finally, a numerical example is given.A kind of nonlinear elliptic problems has been solved by a Schwarz algorithm. An asymptotic geometric convergence rate is derived, and a numerical method for the subproblems is proposed. Finally, a numerical example is given.

关 键 词：非线性椭圆问题 SCHWARZ算法 泛函最小问题 有限元逼近 离散问题 水平集 收敛性 NEWTON法 

分 类 号：O241.8[理学—计算数学]