An Implicit Discontinuous Galerkin Scheme for Solving the Cardiovascular Drug-eluting Stents' Model
نویسندگان
چکیده
This article proposes an implicit discontinuous Galerkin scheme for solving the 2D model of drug release from cardiovascular drug-eluting stents, given binding that is saturated and reversible. The uses discretization based on bubble modal basis functions in space backward Euler time. For this purpose, we have divided each domain into several sub-domains. In sub-domain, used a as local bases. These are more efficiently matched sub-domain than global bases, especially points domain. existence uniqueness solution examined. consistency, stability, convergence proposed thoroughly provided. Under stability conditions, domains penalty parameters time steps determined such remains stable. appropriate range changes velocity, $\mathbf{u}_w$, obtained, regarding analysis. Numerical results show high performance due to accuracy efficiency scheme.
منابع مشابه
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2023
ISSN: ['1027-5487', '2224-6851']
DOI: https://doi.org/10.11650/tjm/230402