Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/74511
Title: Long-time stability and asymptotic analysis of the IFE method for the multilayer porous wall model
Authors: Zhang, H 
Wang, K
Issue Date: 2017
Source: Numerical methods for partial differential equations, 2017, p. 2
Abstract: In this article, we study 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 descretization, and 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 L 1 ( 0 , t MergeCell L 2 ( Ω ) ) and L ∞ ( 0 , t MergeCell L 2 ( Ω ) ) norms as t → + ∞ . Finally, some numerical experiments are given to verify the theoretical predictions.
Keywords: Asymptotic analysis
Drug-eluting stents
Immersed finite element method
Interface problem
Long-time numerical stability
Multilayer porous wall model
Publisher: John Wiley & Sons
Journal: Numerical methods for partial differential equations 
ISSN: 0749-159X
DOI: 10.1002/num.22206
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