松弛因子在交替法中的应用  

Application of relaxation factors in the alternative method

作　　者：董永新[1] 王寿城[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《阜阳师范学院学报（自然科学版）》2013年第3期22-24,31,共4页Journal of Fuyang Normal University(Natural Science)

摘　　要：为实现最优Schwarz交替法能够自适应地选取边界传输条件上的线性算子,本文在交界处切线方向上选取算子时引入松弛因子θ1,θ2,恰当选取松弛因子可以加速收敛,证明了线性和非线性条件下加速收敛的条件。数值算例也表明相同结果。To achieve optimal Sehwarz ahemating method with self-adaptive selection of linear operators on the transmission boundary condition, relaxation factors01,02 were introduced. The result not only showed that proper selection of relaxation factors can accelerate convergence rate but also proved the requirement of accelerating the convergence under linear or nonlinear condition. The numerical example also showed the same result.

关 键 词：松弛因子 最优Schwarz交替法 线性算子 FOURIER变换 HELMHOLTZ方程 

分 类 号：O241.82[理学—计算数学]