Unconditional stability and optimal error analysis of mass conservative characteristic mixed FEM for wormhole propagation
作者：
Highlights：
• We consider a mass conservative type method for simulating wormhole propagation in porous media, where mass conservative characteristic finite element method (FEM) is used for the solute transport equation, the mixed FEM is used for velocity-pressure equation and Galerkin FEM for porosity equation.
• By a novel rigorous analysis, the optimal estimates are obtained without time-step restriction, while the error estimates are more accurate and reasonable compared with all previous work.
• We also give some numerical experiments to verify the theoretical analysis and the effectiveness of the proposed method.
摘要
•We consider a mass conservative type method for simulating wormhole propagation in porous media, where mass conservative characteristic finite element method (FEM) is used for the solute transport equation, the mixed FEM is used for velocity-pressure equation and Galerkin FEM for porosity equation.•By a novel rigorous analysis, the optimal estimates are obtained without time-step restriction, while the error estimates are more accurate and reasonable compared with all previous work.•We also give some numerical experiments to verify the theoretical analysis and the effectiveness of the proposed method.
论文关键词：Unconditionally stability,Mass conservation,Wormhole propagation,Optimal error estimates,Numerical experiments
论文评审过程：Received 26 January 2022, Revised 1 April 2022, Accepted 8 April 2022, Available online 19 April 2022, Version of Record 19 April 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127174
