Nonoverlapping domain decomposition characteristic finite differences for three-dimensional convection-diffusion equations



One domain decomposition method modified with characteristic differences is presented for non-periodic three-dimensional equations by multiply-type quadratic interpolation and variant time-step technique. This method consists of reduced-scale, two-dimensional computation on subdomain interface boundaries and fully implicit subdomain computation in parallel. A computational algorithm is outlined and an error estimate in discrete l2- norm is established by introducing new inner products and norms. Finally, numerical examples are given to illustrate the theoretical results, efficiency and parallelism of this method. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 17-37, 2012