Second order fully discrete defect-correction scheme for nonstationary conduction-convection problem at high Reynolds number

摘要

This survey enfolds rigorous analysis of the defect-correction finite element (FE) method for the time-dependent conduction-convection problem which based on the Crank-Nicolson scheme. The method consists of two steps: solve a nonlinear problem with an added artificial viscosity term on a FE grid and correct the solutions on the same grid using a linearized defect-correction technique. The stability and optimal error estimate of the fully discrete scheme are derived. As a consequence, the effectiveness of the method to deal with high Reynolds number is illustrated in several numerical experiments. (c) 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 681-703, 2017