41 citations · 69 across the 3 of their papers we have counts for
4 papers
A Consistent Discrete 3D Hodge-type Decomposition: implementation and practical evaluation
Faniry H. Razafindrazaka, Konstantin Poelke, Konrad Polthier +1
The Hodge decomposition provides a very powerful mathematical method for the analysis of 2D and 3D vector fields. It states roughly that any vector field can be -orthogonally…
Towards a Computational Framework for Modeling the Impact of Aortic Coarctations upon Left Ventricular Load
Elias Karabelas, Matthias A. F. Gsell, Christoph M. Augustin +6
Computational fluid dynamics (CFD) models of blood flow in the left ventricle (LV) and aorta are important tools for analyzing the mechanistic links between myocardial deformation…
Assessment of wall stresses and mechanical heart power in the left ventricle: Finite element modeling versus Laplace analysis
Matthias A. F. Gsell, Christoph M. Augustin, Anton J. Prassl +6
Introduction: Stenotic aortic valve disease (AS) causes pressure overload of the left ventricle (LV) that may trigger adverse remodeling and precipitate progression towards heart f…
Hodge Decomposition of the wall shear stress vector fields characterizing biological flows
Faniry H. Razafindrazaka, Pavlo Yevtushenko, Konstantin Poelke +2
A discrete boundary-sensitive Hodge decomposition is proposed as a central tool for the analysis of wall shear stress (WSS) vector fields in aortic blood flows. The method is based…