Numerical Experiments for a Nonoverlapping Domain Decomposition Method for Partial Differential Equations

نویسندگان

  • JIM DOUGLAS
  • DAOQI YANG
چکیده

We present numerical experiments for a nonoverlapping domain decomposition method with interface relaxation for general selfadjoint and non-selfadjoint elliptic problems in two dimensions. The procedure contains two steps in each full iteration. The transmission condition on the interface is taken to be Dirichlet in the rst step and Neumann in the second. However, in the presence of interior subdomains, an average mechanism is introduced at each cross-point to update the value at these points immediately after the Neumann sweep. Numerical examples show the rapid convergence of the method.

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تاریخ انتشار 1996