Poisson方程外问题平方收敛的不重叠Schwarz交替法

Square convergent Schwarz alternating method for Poisson equation's exterior problem

文章构造了一种Poisson方程外问题的平方收敛的Schwarz交替法,通过离散平均迭代Sobolev空间中的函数,数值解Poisson方程,新算法同原算法相比具有平方收敛性。新算法使原算法以平方速度收敛,典型域上的数值算例和图像表明平方收敛算法具有更小的误差。

An improved square convergent Schwarz alternating method for Poisson equation ’s exterior problems is constructed .Compared with the original algorithm ,the new algorithm is squarely conver-gent by dispersing and taking the average of the function in the Sobolev space .The new algorithm makes the original algorithm squarely convergent ,and the numeral examples and images on typical do-main suggest that the squarely convergent algorithm has smaller errors .