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- Title
Long-time stability and asymptotic analysis of the IFE method for the multilayer porous wall model.
- Authors
Huili Zhang; Kun Wang
- Abstract
In this article,westudy the long-time stability and asymptotic behavior of the immersed finite element (IFE) method for the multilayer porous wall model for the drug-eluting stents. First, with the IFE method for the spatial descretizationand the implicit Euler scheme for the temporal discretization, respectively, we deduce the global stability of fully discrete solution. Then, we investigate the asymptotic behavior of the discrete scheme which reveals that the multilayer porous wall model converges to the corresponding elliptic equation if f (x, t) approaches to a steady-state -f (x) in both L1(0, t; L2(Ω)) and L∞ (0, t; L2(Ω)) norms as t →+∞. Finally, some numerical experiments are given to verify the theoretical predictions.
- Subjects
FINITE element method; POROUS materials; STOCHASTIC convergence; ELLIPTIC equations; NUMERICAL analysis
- Publication
Numerical Methods for Partial Differential Equations, 2018, Vol 34, Issue 2, p419
- ISSN
0749-159X
- Publication type
Article
- DOI
10.1002/num.22206