An Iteration Method using Elliptical Arc Artificial Boundary for Exterior Problems

نویسندگان

  • Yajun Chen
  • Qikui Du
چکیده

In this paper, an iteration method using elliptical arc artificial boundary is designed to solve exterior Poisson problem with a concave angle. It is shown that the iteration method is equivalent to a Schwarz alternating method. The convergence of this method is given. The convergence rate is analyzed in details for a typical domain. Finally, some numerical examples are given, which show the effectiveness of the iteration method.

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تاریخ انتشار 2017