Implicit finite element discretizations based on the flux‐corrected transport algorithm
Implicit finite element discretizations based on the flux‐corrected transport algorithm
Abstract The flux‐corrected transport (FCT) methodology is generalized to implicit finite element schemes and applied to the Euler equations of gas dynamics. For scalar equations, a local extremum diminishing scheme is constructed by adding artificial diffusion so as to eliminate negative off‐diagonal entries from the high‐order transport operator. To obtain …