A Stabilized Finite Element Method of Stationary Flow Problems Using a Domain Decomposition Method

A parallel computation system with an iterative domain decomposition method is developed for advection-diffusion problems. Using BiCGSTAB, the interface problem is solved implicitly under the constraints of temperature equivalence and heat flux continuity on the interface. A stabilized finite element method is used to analyze an advection-diffusion problem in each subdomain. The hierarchical domain decomposition method is introduced for parallel processing. The present method is successfully applied to a three-dimensional advection-diffusion problem. Numerical results show that the iterative procedure converges with a high CPU efficiency. 1