Large scale simulation of arterial walls using FETI-DP

Simulation results for a patient-specific artery

DFG (Deutsche Forschungsgemeinschaft) project SCHR 570/6-2, KL 2094/1-2

Associated people

J. Schröder, D. Brands, S. BrinkhuesD. Balzani (TU Dresden), in cooperation with A. Klawonn (Universität zu Köln), O. Rheinbach(TU Freiberg), R. Erbel (Westdeutsches Herzzentrum Essen)

 

Abstract

In order to improve the blood flow in artherosclerotic arteries an extension of the lumen is essential. An often used method of treatment is the balloon-angioplasty, whose success requires the knowledge of the mechanics of arterial walls. Thus the numerical simulation provides a method to analyse the deformation behavior of the arterial wall and its constituents under the loading by a ballon-angioplasty. The necessary 3D-discretizations by finite elements results in large systems of equations, therefore, a parallel algorithm using FETI-DP is applied to solve the equilibrium problem.

 

References

Balzani, D., Brands, D., Klawonn, A., Rheinbach, O. & Schröder, J. (2010), "On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies", Archive of Applied Mechanics. Vol. 80, pp. 479-488.

Brands, D., Klawonn, A., Rheinbach, O. & Schröder, J. (2008), "Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy", Computer Methods in Biomechanics and Biomedical Engineering. Vol. 11, pp. 569-583.

 

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