Solution of Singular Perturbation Problems via the Domain Decomposition Method on Serial and Parallel Computers

نویسندگان

  • Paul A. Farrell
  • Igor P. Boglaev
  • Vadim V. Sirotkin
چکیده

Domain decomposition methods for the solution of semi-linear selfadjoint and non-selfadjoint singularly perturbed di erential equations are considered. An iterative domain decomposition algorithm suitable for parallelization is described and convergence of the algorithm is established. The implementation on a shared memory multiprocessor is described and numerical examples are presented to demonstrate the e ectiveness of the algorithm.

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تاریخ انتشار 1994