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A Stabilized Galerkin Scheme for the Convection-Diffusion-Reaction Equations |
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| Authors: | Qingfang Liu Yanren Hou Lei Ding Qingchang Liu |
| Institution: | 1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R. China 2. Center for Computational Geosciences, Xi’an Jiaotong University, Xi’an, 710049, P.R. China 3. School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an, 710049, P.R. China 4. School of Mechanics and Civil & Architecture, Northwestern Polytechnical University, Xi’an, 710129, P.R. China |
| Abstract: | A fully discrete stabilized scheme is proposed for solving the time-dependent convection-diffusion-reaction equations. A time derivative term results in our stabilized algorithm. The finite element method for spatial discretization and the backward Euler or Crank-Nicolson scheme for time discretization are employed. The long-time stability and convergence are established in this article. Finally, some numerical experiments are provided to confirm the theoretical analysis. |
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