中文摘要：

This paper provides a theoretical justification to a overlapping domain decomposition method applied to the solution of time-dependent convection-diffusion problems. The method is based on the partial upwind finite element scheme and the discrete strong maximum principle for steady problem. An error estimate in L∞(0, T; L∞ (Ω)) is obtained and the fact that convergence factor ρ(τ, h) →0 exponentially as τ, h→0 is also proved under some usual conditions.

英文摘要：

Presents a study that examined the application of an overlapping domain decomposition method to the solution of time-dependent convection-diffusion problems. Background on the Schwartz alternating procedure; Application of two kinds of Schwartz alternating procedure to solve the numerical approximation problem; Numerical results.