A Schwarz Alternating Method For Unbounded Domains

In this paper, by using domain decomposition algorithm and the natural boundaryelement related knowledge background.using the method of overlapping Schwarzalternating unbounded region and the bounded area overlap Schwarz alternating method ofrelevant theoretical knowledge. we discuss a underlapping schwarz alternating method forunbounded domains and its discretization based on natural boundary reduction overhalf-plane.which can be decomposed into two domain, a bounded domain and a unboundeddomain,Finite Element Method and Natural Boundary Reduction are used alternatively.Andshow the convergence of the underlapping Schwarz alternating method in discrete problem.In the past,the non-overlapping Schwarz alternating method only was given on the boundedarea,now its area are expansion of for unbounded region,it adds a possibility for the partialdifferential equation of demain decomposition algorithm.Numerical solution for partialdifferential equation on unbounded region has very important.