Analysis of algebraic flux correction schemes for semi-discrete advection problems
Analysis of algebraic flux correction schemes for semi-discrete advection problems
Abstract Based on recent developments regarding the analysis of algebraic flux correction schemes, we consider a locally bound-preserving discretization of the time-dependent advection equation. Specifically, we analyze a monolithic convex limiting scheme based on piecewise (multi-)linear continuous finite elements in the semi-discrete formulation. To stabilize the discretization, we use low …