Uniform estimates for characteristics-mixed finite method for transient advection-dominated diffusion problems in two-dimensional space
作者：
Highlights：
• We prove uniform optimal-order error estimates for the characteristics-mixed finite element for advection–diffusion equations.
• In the proof, the interpolation operators are used instead of the mixed elliptic projections.
• The generic constants of the estimates do not explicitly depend on ε, but depend linearly on Sobolev norms of the true solution.
摘要
•We prove uniform optimal-order error estimates for the characteristics-mixed finite element for advection–diffusion equations.•In the proof, the interpolation operators are used instead of the mixed elliptic projections.•The generic constants of the estimates do not explicitly depend on ε, but depend linearly on Sobolev norms of the true solution.
论文关键词：Transient advection-dominated diffusion equations,Characteristics-mixed finite element method,Uniform error estimates,Numerical experiments
论文评审过程：Received 7 October 2014, Revised 24 December 2015, Accepted 10 January 2016, Available online 6 February 2016, Version of Record 6 February 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.01.031
