full
search.png

Search

close.png

Cancel

arrow
Volume 15, Issue 1-2
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

Int. J. Numer. Anal. Mod., 15 (2018), pp. 48-73.

Published online: 2018-01

Preview Full PDF 2863 25902

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Linear immersed interface method, quadratic immersed interface method, multi-layer porous wall model, coronary drug-eluting stents, imperfect contact interface point.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

huili.zhang@connect.polyu.hk (Huili Zhang)

tlin@vt.edu (Tao Lin)

yanping.lin@polyu.edu.hk (Yanping Lin)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-15-48, author = {Zhang , HuiliLin , Tao and Lin , Yanping}, title = {Linear and Quadratic Immersed Finite Element Methods for the Multi-Layer Porous Wall Model for Coronary Drug-Eluting Stents}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {1-2}, pages = {48--73}, 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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/10555.html} }
TY - JOUR T1 - Linear and Quadratic Immersed Finite Element Methods for the Multi-Layer Porous Wall Model for Coronary Drug-Eluting Stents AU - Zhang , Huili AU - Lin , Tao AU - Lin , Yanping JO - International Journal of Numerical Analysis and Modeling VL - 1-2 SP - 48 EP - 73 PY - 2018 DA - 2018/01 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/10555.html KW - Linear immersed interface method, quadratic immersed interface method, multi-layer porous wall model, coronary drug-eluting stents, imperfect contact interface point. AB -

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.

Zhang , HuiliLin , Tao and Lin , Yanping. (2018). Linear and Quadratic Immersed Finite Element Methods for the Multi-Layer Porous Wall Model for Coronary Drug-Eluting Stents. International Journal of Numerical Analysis and Modeling. 15 (1-2). 48-73. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard