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  4. Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations
 
research article

Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations

Quarteroni, Alfio  
•
Veneziani, Alessandro
2003
Multiscale Modeling and Simulation

The purpose of the present article is to provide a theoretical analysis heterogeneous model coupling ordinary differential equations (ODEs) and partial differential equations (PDEs), providing a local-in-time existence result for the solution. The heterogeneous problem will actually be split into subproblems. The solution of the original problem will be regarded as the solution of a suitable fixed point problem, based on the successive solution of the subproblems. Moreover, the authors study the role of matching conditions between the two submodels for the numerical simulation.

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Type
research article
DOI
10.1137/S1540345902408482
Web of Science ID

WOS:000221348200001

Author(s)
Quarteroni, Alfio  
Veneziani, Alessandro
Date Issued

2003

Published in
Multiscale Modeling and Simulation
Volume

1

Issue

2

Start page

173

End page

195

Subjects

heterogeneous model subproblems fixed point problem numerical simulation local-in-time existence matching conditions

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CMCS  
Available on Infoscience
April 24, 2007
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/5380
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