Optimized Schwarz methods for the Stokes–Darcy coupling
M Discacciati, L Gerardo-Giorda - IMA Journal of Numerical …, 2018 - academic.oup.com
This article studies optimized Schwarz methods for the Stokes–Darcy problem. Robin
transmission conditions are introduced, and the coupled problem is reduced to a suitable …
transmission conditions are introduced, and the coupled problem is reduced to a suitable …
Experimental validation of a variational data assimilation procedure for estimating space-dependent cardiac conductivities
Customization of mathematical and numerical models to patient-specific settings is a critical
step of the translation process bringing scientific computing to the clinical activity. In …
step of the translation process bringing scientific computing to the clinical activity. In …
Efficient estimation of cardiac conductivities: A proper generalized decomposition approach
While the potential groundbreaking role of mathematical modeling in electrophysiology has
been demonstrated for therapies like cardiac resynchronization or catheter ablation, its …
been demonstrated for therapies like cardiac resynchronization or catheter ablation, its …
The LifeV library: engineering mathematics beyond the proof of concept
LifeV is a library for the finite element (FE) solution of partial differential equations in one,
two, and three dimensions. It is written in C++ and designed to run on diverse parallel …
two, and three dimensions. It is written in C++ and designed to run on diverse parallel …
Dual-primal methods for the cardiac bidomain model
S Zampini - Mathematical Models and Methods in Applied …, 2014 - World Scientific
The cardiac Bidomain model consists in a reaction–diffusion system of partial differential
equations which is often discretized by low-order finite elements in space and implicit …
equations which is often discretized by low-order finite elements in space and implicit …
Parallel multilevel Schwarz and block preconditioners for the Bidomain parabolic-parabolic and parabolic-elliptic formulations
LF Pavarino, S Scacchi - SIAM Journal on Scientific Computing, 2011 - SIAM
The aim of this work is to develop parallel multilevel and block preconditioners for the
Bidomain model of electrocardiology. The Bidomain model describes the electrical activity of …
Bidomain model of electrocardiology. The Bidomain model describes the electrical activity of …
[HTML][HTML] Numerical sensitivity analysis of a variational data assimilation procedure for cardiac conductivities
An accurate estimation of cardiac conductivities is critical in computational electro-
cardiology, yet experimental results in the literature significantly disagree on the values and …
cardiology, yet experimental results in the literature significantly disagree on the values and …
Balancing neumann–neumann methods for the cardiac bidomain model
S Zampini - Numerische Mathematik, 2013 - Springer
Abstract Balancing Neumann–Neumann preconditioners are constructed, analyzed and
numerically studied for the cardiac Bidomain model in three-dimensions. This reaction …
numerically studied for the cardiac Bidomain model in three-dimensions. This reaction …
Comparing the bidomain and monodomain models in electro-cardiology through convergence analysis
Y Bourgault, C Pierre - 2010 - hal.science
The monodomain and bidomain models are widely used in electro cardiology to simulate
spreading of excitation potential waves in the myocardium. The bidomain model is quite …
spreading of excitation potential waves in the myocardium. The bidomain model is quite …
Sensitivity analysis of a left ventricle model in the context of intraventricular dyssynchrony
The objective of the current study was to propose a sensitivity analysis of a 3D left ventricle
model in order to assess the influence of parameters on myocardial mechanical dispersion …
model in order to assess the influence of parameters on myocardial mechanical dispersion …