Linear and quadratic immersed finite element methods for the multi-layer porous wall model for coronary drug-eluting stents

Huili Zhang, Tao Lin, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

10 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)48-73
Number of pages26
JournalInternational Journal of Numerical Analysis and Modeling
Volume15
Issue number1
Publication statusPublished - 1 Jan 2018

Keywords

  • Coronary drug-eluting stents
  • Imperfect contact interface point
  • Linear immersed interface method
  • Multilayer porous wall model
  • Quadratic immersed interface method

ASJC Scopus subject areas

  • Numerical Analysis

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