Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/74671
Title: Linear and quadratic immersed finite element methods for the multi-layer porous wall model for coronary drug-eluting stents
Authors: Zhang, H 
Lin, T
Lin, Y 
Keywords: Coronary drug-eluting stents
Imperfect contact interface point
Linear immersed interface method
Multilayer porous wall model
Quadratic immersed interface method
Issue Date: 2018
Publisher: Institute for Scientific Computing and Information
Source: International journal of numerical analysis and modeling, 2018, v. 15, no. 1, p. 48-73 How to cite?
Journal: International journal of numerical analysis and modeling 
Abstract: In this paper, we consider a multi-layer porous wall model for coronary drug-eluting stents that leads to an interface problem whose coefficients have multiple discontinuous points, and an imperfect contact interface jump condition is imposed at the first discontinuous point where the stent meets the artery. The existence and uniqueness of the solution to the related weak problem are established. A linear and a quadratic immersed finite element (IFE) methods are developed for solving this interface problem. Error estimation is carried out to show that the proposed IFE methods converge optimally. Numerical examples are presented to demonstrate features of these IFE methods.
URI: http://hdl.handle.net/10397/74671
ISSN: 1705-5105
EISSN: 1705-5105
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