基于半平面上的不重叠Schwarz交替法  

An underlapping Schwarz alternating method over half-plane

作　　者：刘红梅[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：《合肥工业大学学报（自然科学版）》2012年第11期1582-1584,共3页Journal of Hefei University of Technology：Natural Science

摘　　要：文章讨论了基于半平面上自然边界归化的无界区域上不重叠Schwarz交替法及其离散化,对于区域的分解方法是将无界的半平面分解为不重叠的2个区域,即很小的有界区域和无界的半平面,并且在有界区域和无界区域上分别交替利用有限元法和自然边界元法求解,对于其中离散情形的不重叠型区域,分解算法利用极值原理证明其在最大模意义下的几何收敛性。In this paper, an underlapping Schwarz alternating method of unbounded domains based on natural boundary reduction over half-plane and its discretization are discussed. The unbounded half- plane is decomposed into two underlapping domains, namely a bounded domain and an unbounded do- main, and the finite element method and natural boundary element method are used in these two domains respectively for their solutions. And the geometric convergence of the underlapping Schwarz alternating method in discrete problem under the maximum module is shown by the extremum principle.

关 键 词：不重叠Schwarz交替法 半平面 自然边界元 离散化 极值原理 几何收敛 

分 类 号：O241.82[理学—计算数学]