Data Assimilation in Cardiovascular Fluid–Structure Interaction Problems: An Introduction

DOI10.1007/978-3-0348-0822-4_6zbMath1426.76761OpenAlexW61593757MaRDI QIDQ2946191

Luca Bertagna, Mauro Perego, Alessandro Veneziani, Marta D'Elia

Publication date: 16 September 2015

Published in: Fluid-Structure Interaction and Biomedical Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0822-4_6

zbMATH Keywords

Kalman filterfluid-structure interactiondata assimilationbiological flowsvariational parameter identification

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stochastic analysis applied to problems in fluid mechanics (76M35) Variational methods applied to problems in fluid mechanics (76M30) Biomechanics (92C10) Physiological flows (76Z05)

Related Items (11)

Efficient estimation of cardiac conductivities: a proper generalized decomposition approach ⋮ 3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method ⋮ Optimal control of a linear unsteady fluid-structure interaction problem ⋮ A patient-specific follow up study of the impact of thoracic endovascular repair (TEVAR) on aortic anatomy and on post-operative hemodynamics. ⋮ Geometric multiscale modeling of the cardiovascular system, between theory and practice ⋮ The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications ⋮ Cardiovascular Modeling With Adapted Parametric Inference ⋮ On a fixed point study of an inverse problem governed by Stokes equation ⋮ Boundary control in computational haemodynamics ⋮ Identification of residual stresses in multi-layered arterial wall tissues using a variational framework ⋮ A Newton multigrid framework for optimal control of fluid-structure interactions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flow rate boundary problems for an incompressible fluid in deformable domains: formulations and solution methods
• A new error bound for reduced basis approximation of parabolic partial differential equations
• Least-squares finite element methods
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• Cardiovascular mathematics. Modeling and simulation of the circulatory system
• On the stability of the reduced basis method for Stokes equations in parametrized domains
• Weighted least-squares finite elements based on particle imaging velocimetry data
• Lagrangian-Eulerian finite element formulation for incompressible viscous flows
• The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems
• Matrix Riccati equations in control and systems theory
• Statistical and computational inverse problems.
• Estimation techniques for distributed parameter systems
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• A variational data assimilation procedure for the incompressible Navier-Stokes equations in hemodynamics
• Hemodynamical flows. Modeling, analysis and simulation. Papers based on the presentations at the Oberwolfach seminar `Hemodynamical flows: Aspects of modeling, analysis and simulation', Oberwolfach, Germany, November 20--26, 2005.
• Partial differential equations in action. From modelling to theory
• Uncertainty quantification for data assimilation in a steady incompressible Navier-Stokes problem
• Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions
• Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples
• Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems
• Large‐Scale Inverse Problems and Quantification of Uncertainty
• A Variational Approach for Estimating the Compliance of the Cardiovascular Tissue: An Inverse Fluid-Structure Interaction Problem
• An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions
• FAIR
• A New Approach to Numerical Solution of Defective Boundary Value Problems in Incompressible Fluid Dynamics
• Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations
• Computational Methods for Inverse Problems
• Perspectives in Flow Control and Optimization
• A Fresh Look at the Kalman Filter
• Adjoint‐weighted variational formulation for the direct solution of inverse problems of general linear elasticity with full interior data
• A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
• Accuracy and Reliability in Scientific Computing
• Exact and Approximate Controllability for Distributed Parameter Systems
• Introduction to Bayesian Scientific Computing

This page was built for publication: Data Assimilation in Cardiovascular Fluid–Structure Interaction Problems: An Introduction