Recent results on the numerical analysis of Algebraic Flux Correction (AFC) finite element schemes for scalar convection-diffusion equations are reviewed and presented in a unified way. A general form of the method is presented using a link between AFC schemes and nonlinear edge-based diffusion schemes. Then, specific versions of the method, that is, different definitions for the flux limiters, are reviewed and their main results stated. Numerical studies compare the different versions of the scheme.
|Number of pages||31|
|Early online date||9 May 2018|
|Publication status||Published - 1 Dec 2018|
- algebraic flux correction
- scalar convection-diffusion equations
- nonlinear edge-based diffusion schemes
- flux limiters