An Implicit Discontinuous Galerkin Scheme for Solving the Drug Release of Cardiovascular Stent

This article proposes an implicit discontinuous Galerkin scheme for solving the 2D model of drug release from cardiovascular drug-eluting stents, given the binding of the drug that is saturated and reversible. The scheme uses discontinuous Galerkin discretization based on bubble modal basis functions in space and the backward Euler discretization in time. Under the stability conditions, the domains of penalty parameters and time steps are determined such that the scheme remains stable. Numerical results show high performance due to the accuracy and efficiency of the proposed scheme.