In this paper, the economical finite difference-streamline diffusion (EFDSD) schemes based on the linear F.E. space for time-dependent linear and non-linear convection-dominated diffusion problems are constructed. The...In this paper, the economical finite difference-streamline diffusion (EFDSD) schemes based on the linear F.E. space for time-dependent linear and non-linear convection-dominated diffusion problems are constructed. The stability and error estimation with quasi-optimal order approximation are established in the norm stronger than L^2 - norm for the schemes considered. It is indicated by the results obtained that,for linear F.E. space, the EFDSD schemes have the same specific properties of stability and convergence as the traditional FDSD schemes for the problems discussed.展开更多
A parallel algorithm is developed for the two-dimensional time-dependent convective dominant-diffusion problem. An explicit alternating direction (EAD) method, which is based on the second-order compact upwind finite ...A parallel algorithm is developed for the two-dimensional time-dependent convective dominant-diffusion problem. An explicit alternating direction (EAD) method, which is based on the second-order compact upwind finite difference scheme, is studied. The algorithm is tested on a linear and a nonlinear differential equation using a parallel computer. Some numerical results show that the method has high accuracy and is ideally suitable for massively parallel computers.展开更多
文摘In this paper, the economical finite difference-streamline diffusion (EFDSD) schemes based on the linear F.E. space for time-dependent linear and non-linear convection-dominated diffusion problems are constructed. The stability and error estimation with quasi-optimal order approximation are established in the norm stronger than L^2 - norm for the schemes considered. It is indicated by the results obtained that,for linear F.E. space, the EFDSD schemes have the same specific properties of stability and convergence as the traditional FDSD schemes for the problems discussed.
文摘A parallel algorithm is developed for the two-dimensional time-dependent convective dominant-diffusion problem. An explicit alternating direction (EAD) method, which is based on the second-order compact upwind finite difference scheme, is studied. The algorithm is tested on a linear and a nonlinear differential equation using a parallel computer. Some numerical results show that the method has high accuracy and is ideally suitable for massively parallel computers.
