- 作者: DANIEL LEE AND MULDER YU
- 中文摘要: An interface problem is tackled as a preconditioner for the nonlinear block Jacobi domain decomposition (DD) approach. Various preconditioners are investigated in solving convection-diffusion and incompressible Navier-Stokes (NS) equations, with an optional fine level interface problem solved as a further preconditioner. In addition, a (global) coarse level problem is designed as a preconditioner. Examined also is the relaxation type preconditioner. The Successive Over-Relaxation (SOR) type strategy, in simple or hybrid form, can be used to accelerate the convergence of the interface variables, so as to provide an interface preconditioner for the global problem. Furthermore, one can over-relax the setup of the interface problems, resulting in an accelerated interface preconditioner. The nature of these preconditioners is quite different from that in linear DD theory and its application. These preconditioned nonlinear DD methods exhibit impressive improvement over the basic non-preconditioned parallel Newton-Jacobi method.
- 英文摘要: --
- 中文關鍵字: domain decomposition (DD), Newton method, finite volume (FV), parallel computation
- 英文關鍵字: --