Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: Application to cardiac electromechanics
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Publication:6187630
DOI10.1016/j.cma.2023.116292arXiv2306.00457OpenAlexW4385804046MaRDI QIDQ6187630
Francesco Regazzoni, Michele Bucelli, Luca Dedè, Alfio M. Quarteroni
Publication date: 15 January 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.00457
singular value decompositionpositivity preservingradial basis function interpolationcardiac modelingmultiphysics modeling
Cites Work
- Unnamed Item
- Computational model of three-dimensional cardiac electromechanics
- INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces
- Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
- Isogeometric analysis of the electrophysiology in the human heart: numerical simulation of the bidomain equations on the atria
- Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics
- Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations
- Multipatch isogeometric analysis for electrophysiology: simulation in a human heart
- The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques
- A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation
- Sensitivity analysis of a strongly-coupled human-based electromechanical cardiac model: effect of mechanical parameters on physiologically relevant biomarkers
- An intergrid transfer operator using radial basis functions with application to cardiac electromechanics
- The \textsc{deal.II} finite element library: design, features, and insights
- Machine learning for fast and reliable solution of time-dependent differential equations
- A computationally efficient physiologically comprehensive 3D-0D closed-loop model of the heart and circulation
- On approximate cardinal preconditioning methods for solving PDEs with radial basis functions
- Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function
- Anatomically accurate high resolution modeling of human whole heart electromechanics: A strongly scalable algebraic multigrid solver method for nonlinear deformation
- Mathematical cardiac electrophysiology
- 3D-0D closed-loop model for the simulation of cardiac biventricular electromechanics
- The \texttt{deal.II} library, version 9.4
- A matrix-free high-order solver for the numerical solution of cardiac electrophysiology
- The significant effect of the choice of ionic current integration method in cardiac electro-physiological simulations
- p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
- Fast Radial Basis Function Interpolation via Preconditioned Krylov Iteration
- Constitutive modelling of passive myocardium: a structurally based framework for material characterization
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- Mathematical Modelling of the Human Cardiovascular System
- Advanced Linear Algebra
- A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations
- Electro-fluid-mechanics of the heart
- Modeling the cardiac electromechanical function: A mathematical journey
- A Rescaled Localized Radial Basis Function Interpolation on Non-Cartesian and Nonconforming Grids
- A comprehensive and biophysically detailed computational model of the whole human heart electromechanics
