In this paper,a posteriori error estimates for the generalized Schwartz method with Dirichlet boundary conditions on the interfaces for advection-diffusion equation with second order boundary value problems are proved...In this paper,a posteriori error estimates for the generalized Schwartz method with Dirichlet boundary conditions on the interfaces for advection-diffusion equation with second order boundary value problems are proved by using the Euler time scheme combined with Galerkin spatial method.Furthermore,an asymptotic behavior in Sobolev norm is de-duced using Benssoussau-Lions'algorithm.Finally,the results of some numerical experiments are presented to support the theory.展开更多
文摘In this paper,a posteriori error estimates for the generalized Schwartz method with Dirichlet boundary conditions on the interfaces for advection-diffusion equation with second order boundary value problems are proved by using the Euler time scheme combined with Galerkin spatial method.Furthermore,an asymptotic behavior in Sobolev norm is de-duced using Benssoussau-Lions'algorithm.Finally,the results of some numerical experiments are presented to support the theory.
