Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models
From MaRDI portal
Publication:2022044
DOI10.1016/j.cma.2020.113559zbMath1506.76167arXiv1904.13367OpenAlexW3111781285MaRDI QIDQ2022044
Damiano Lombardi, Felipe Galarce, O. Mula, Jean-Frédéric Gerbeau
Publication date: 27 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.13367
Biomedical imaging and signal processing (92C55) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flow (92C35)
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Cites Work
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- Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- Stabilization of (G)EIM in presence of measurement noise: application to nuclear reactor physics
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation
- Machine learning in cardiovascular flows modeling: predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networks
- Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation
- A non-linear observer for unsteady three-dimensional flows
- Convergence analysis of the Generalized Empirical Interpolation Method
- A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation
- Nonlinear model order reduction based on local reduced-order bases
- A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics
- Adaptiveh-refinement for reduced-order models
- ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Optimal sensors' allocation strategies for a class of stochastic distributed systems
- An Adaptive Parametrized-Background Data-Weak approach to variational data assimilation
- Greedy Algorithms for Optimal Measurements Selection in State Estimation Using Reduced Models
- Reduction Strategies for Shape Dependent Inverse Problems in Haemodynamics
- Missing Point Estimation in Models Described by Proper Orthogonal Decomposition
- Approximation of high-dimensional parametric PDEs
- Data Assimilation in Reduced Modeling
- Localized Discrete Empirical Interpolation Method
- Observability and optimal measurement location in linear distributed parameter systems†