We report in this paper the analysis for the linear and nonlinear version of the flux corrected transport (FEM-FCT) scheme in combination with the backward Euler time-stepping scheme applied to time-dependent convection-diffusion-reaction problems. We present the stability and error estimates for the linear and nonlinear FEM-FCT scheme. Numerical results confirm the theoretical predictions.

翻译：我们在本文件中报告对通量修正运输(FEM-FCT)计划的线性和非线性版本的分析,同时报告对基于时间的对流-扩散-反应问题适用的后向欧勒时间步骤计划的分析,我们提出了线性和非线性FEM-FCT计划的稳定性和误差估计数,数字结果证实了理论预测。