Abstract
An iterative domain decomposition method is applied to numerical analysis of 3-Dimensional (3D) linear advection-diffusion problems. The iterative domain decomposition method is combined with the Preconditioned Conjugate Gradient (PCG) procedure and the Hierarchical Domain Decomposition Method (HDDM) which is adopted in parallel computing. In this paper, we consider an improvement with the Balancing Domain Decomposition (BDD) preconditioner. Also, we discuss a unified approach for the construction of BDD preconditioners in various applications including heat transfer problems, elastic problems, incompressible viscous flow problems and magnetostatic problems.
