A new projection-based stabilized method for steady convection-dominated convection-diffusion equations

作者：Chen Gang; Feng Minfu^*; Xie Chunmei

来源：Applied Mathematics and Computation, 2014, 239: 89-106.

DOI：10.1016/j.amc.2014.04.018

• Convection-dominated
• Convection-diffusion equation
• Projection-based
• Stabilized method
• Artificial dissipation

We propose a new projection-based stabilized method for the steady convection-dominated convection-diffusion equations. This method directly increases the L-2-stability instead of the H-1-stability which the variational multiscale (VMS) methods do. Numerical analysis and numerical experiments illustrate and confirm that our new method has effective numerical performances on convection-dominated convection-diffusion problems.

• 出版日期2014-7-15
• 单位四川大学