On the public citation graph

Variational data assimilation for transient blood flow simulations: Cerebral aneurysms as an illustrative example

https://doi.org/10.1002/cnm.3152
0 signed · 115 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cnm.2461openalex-snapshot
Sensitivity to outflow boundary conditions and level of geometry description for a cerebral aneurysm
inferredcites →https://doi.org/10.1002/cnm.2559openalex-snapshot
A reduced computational and geometrical framework for inverse problems in hemodynamics
inferredcites →https://doi.org/10.1002/fld.1642openalex-snapshot
Reconstruction of shape and its effect on flow in arterial conduits
inferredcites →https://doi.org/10.1002/gamm.201010013openalex-snapshot
Algorithms for PDE‐constrained optimization
inferredcites →https://doi.org/10.1007/11758549_76openalex-snapshot
On the Properties of Runge-Kutta Discrete Adjoints
inferredcites →https://doi.org/10.1007/978-0-387-40065-5openalex-snapshot
Numerical Optimization
inferredcites →https://doi.org/10.1007/978-1-4020-8839-1openalex-snapshot
Optimization with PDE Constraints
inferredcites →https://doi.org/10.1007/978-1-4614-4178-6_6openalex-snapshot
Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms
inferredcites →https://doi.org/10.1007/978-3-0348-0822-4_6openalex-snapshot
Data Assimilation in Cardiovascular Fluid–Structure Interaction Problems: An Introduction
inferredcites →https://doi.org/10.1007/978-3-319-09063-4_12openalex-snapshot
A Reduced-Order Strategy for Solving Inverse Bayesian Shape Identification Problems in Physiological Flows
inferredcites →https://doi.org/10.1007/978-3-540-74703-1_3openalex-snapshot
Variational Assimilation
inferredcites →https://doi.org/10.1007/978-3-642-23099-8openalex-snapshot
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book
inferredcites →https://doi.org/10.1007/978-88-470-1935-5_1openalex-snapshot
Assumptions in modelling of large artery hemodynamics
inferredcites →https://doi.org/10.1007/978-88-470-1935-5_12openalex-snapshot
Applications of variational data assimilation in computational hemodynamics
inferredcites →https://doi.org/10.1007/bf02995904openalex-snapshot
Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
inferredcites →https://doi.org/10.1007/s002110000178openalex-snapshot
Runge-Kutta methods in optimal control and the transformed adjoint system
inferredcites →https://doi.org/10.1007/s00466-014-1117-yopenalex-snapshot
Fluid-structure interaction simulations of cerebral arteries modeled by isotropic and anisotropic constitutive laws
inferredcites →https://doi.org/10.1007/s10439-009-9689-yopenalex-snapshot
Numerical Validation of MR-Measurement-Integrated Simulation of Blood Flow in a Cerebral Aneurysm
inferredcites →https://doi.org/10.1007/s10439-012-0695-0openalex-snapshot
High Wall Shear Stress and Spatial Gradients in Vascular Pathology: A Review
inferredcites →https://doi.org/10.1007/s10589-006-0397-3openalex-snapshot
Automatic differentiation of explicit Runge-Kutta methods for optimal control
inferredcites →https://doi.org/10.1007/s10915-011-9547-6openalex-snapshot
A Variational Data Assimilation Procedure for the Incompressible Navier-Stokes Equations in Hemodynamics
inferredcites →https://doi.org/10.1016/j.amc.2017.10.029openalex-snapshot
A data assimilation approach for non-Newtonian blood flow simulations in 3D geometries
inferredcites →https://doi.org/10.1016/j.cam.2005.11.022openalex-snapshot
A unified stabilized method for Stokes’ and Darcy's equations
inferredcites →https://doi.org/10.1016/j.cam.2009.08.109openalex-snapshot
On the discrete adjoints of adaptive time stepping algorithms
inferredcites →https://doi.org/10.1016/j.cma.2006.09.011openalex-snapshot
An approximate method for solving incompressible Navier–Stokes problems with flow rate conditions
inferredcites →https://doi.org/10.1016/j.cma.2009.06.017openalex-snapshot
A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
inferredcites →https://doi.org/10.1016/j.cma.2011.04.019openalex-snapshot
Optimal control for quasi-Newtonian flows with defective boundary conditions
inferredcites →https://doi.org/10.1016/j.ijnonlinmec.2014.04.005openalex-snapshot
Optimal control in blood flow simulations
inferredcites →https://doi.org/10.1016/j.jbiomech.2005.01.034openalex-snapshot
Non-Newtonian blood flow in human right coronary arteries: Transient simulations
inferredcites →https://doi.org/10.1016/j.jbiomech.2011.08.015openalex-snapshot
Direct numerical simulation of transitional flow in a patient-specific intracranial aneurysm
inferredcites →https://doi.org/10.1016/j.jbiomech.2013.09.004openalex-snapshot
A study of wall shear stress in 12 aneurysms with respect to different viscosity models and flow conditions
inferredcites →https://doi.org/10.1016/j.jcp.2009.09.016openalex-snapshot
Weighted least-squares finite elements based on particle imaging velocimetry data
inferredcites →https://doi.org/10.1016/j.jcp.2010.03.029openalex-snapshot
Wall shear stress and near-wall convective transport: Comparisons with vascular remodelling in a peripheral graft anastomosis
inferredcites →https://doi.org/10.1016/j.procs.2010.04.159openalex-snapshot
Combination of an adaptive multilevel SQP method and a space-time adaptive PDAE solver for optimal control problems
inferredcites →https://doi.org/10.1046/j.1365-246x.2003.01823.xopenalex-snapshot
Mantle circulation models with variational data assimilation: inferring past mantle flow and structure from plate motion histories and seismic tomography
inferredcites →https://doi.org/10.1051/mmnp/20149608openalex-snapshot
Patient-specific Blood Flow Simulations: Setting Dirichlet Boundary Conditions for Minimal Error with Respect to Measured Data
inferredcites →https://doi.org/10.1088/0266-5611/25/1/015015openalex-snapshot
Morozov's discrepancy principle and Tikhonov-type functionals
inferredcites →https://doi.org/10.1088/1757-899x/10/1/012224openalex-snapshot
Bayesian inference for data assimilation using Least-Squares Finite Element methods
inferredcites →https://doi.org/10.1090/s0025-5718-99-01027-3openalex-snapshot
Automatic differentiation of numerical integration algorithms
inferredcites →https://doi.org/10.1093/acprof:oso/9780199546909.001.0001openalex-snapshot
Applied Shape Optimization for Fluids
inferredcites →https://doi.org/10.1109/tmi.2005.844159openalex-snapshot
Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: technique and sensitivity
inferredcites →https://doi.org/10.1111/j.1600-0870.1986.tb00459.xopenalex-snapshot
Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects
inferredcites →https://doi.org/10.1111/j.1751-5823.2003.tb00194.xopenalex-snapshot
Sequential Data Assimilation Techniques in Oceanography
inferredcites →https://doi.org/10.1114/1.1349703openalex-snapshot
Factors Influencing Blood Flow Patterns in the Human Right Coronary Artery
inferredcites →https://doi.org/10.1118/1.3652917openalex-snapshot
Flow characteristics in a canine aneurysm model: A comparison of 4D accelerated phase‐contrast MR measurements and computational fluid dynamics simulations
inferredcites →https://doi.org/10.1118/1.4964793openalex-snapshot
Transitional hemodynamics in intracranial aneurysms — Comparative velocity investigations with high resolution lattice Boltzmann simulations, normal resolution ANSYS simulations, and MR imaging
inferredcites →https://doi.org/10.1137/0325083openalex-snapshot
Quasi-Newton Methods and Unconstrained Optimal Control Problems
inferredcites →https://doi.org/10.1137/060672005openalex-snapshot
A New Approach to Numerical Solution of Defective Boundary Value Problems in Incompressible Fluid Dynamics
inferredcites →https://doi.org/10.1137/1.9780898718720openalex-snapshot
Perspectives in Flow Control and Optimization
inferredcites →https://doi.org/10.1137/1.9780898719697openalex-snapshot
Rank-Deficient and Discrete Ill-Posed Problems
inferredcites →https://doi.org/10.1137/100808277openalex-snapshot
A Variational Approach for Estimating the Compliance of the Cardiovascular Tissue: An Inverse Fluid-Structure Interaction Problem
inferredcites →https://doi.org/10.1137/120873558openalex-snapshot
Automated Derivation of the Adjoint of High-Level Transient Finite Element Programs
inferredcites →https://doi.org/10.1137/s0363012994273374openalex-snapshot
Boundary Value Problems and Optimal Boundary Control for the Navier--Stokes System: the Two-Dimensional Case
inferredcites →https://doi.org/10.1142/s0218202503003124openalex-snapshot
OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES
inferredcites →https://doi.org/10.1161/circulationaha.111.021824openalex-snapshot
Coronary Artery Wall Shear Stress Is Associated With Progression and Transformation of Atherosclerotic Plaque and Arterial Remodeling in Patients With Coronary Artery Disease
inferredcites →https://doi.org/10.1161/strokeaha.110.592923openalex-snapshot
Hemodynamic–Morphologic Discriminants for Intracranial Aneurysm Rupture
inferredcites →https://doi.org/10.1161/strokeaha.111.640995openalex-snapshot
Hemodynamic Differences Between Unruptured and Ruptured Intracranial Aneurysms During Observation
inferredcites →https://doi.org/10.1371/journal.pone.0177566openalex-snapshot
Robustness of common hemodynamic indicators with respect to numerical resolution in 38 middle cerebral artery aneurysms
inferredcites →https://doi.org/10.3174/ajnr.a2339openalex-snapshot
Hemodynamics of Cerebral Aneurysm Initiation: The Role of Wall Shear Stress and Spatial Wall Shear Stress Gradient
inferredcites →https://doi.org/10.3174/ajnr.a2419openalex-snapshot
Quantitative Characterization of the Hemodynamic Environment in Ruptured and Unruptured Brain Aneurysms
inferredcites →https://doi.org/10.3174/ajnr.a3793openalex-snapshot
Mind the Gap: Impact of Computational Fluid Dynamics Solution Strategy on Prediction of Intracranial Aneurysm Hemodynamics and Rupture Status Indicators
inferredcites →https://doi.org/10.3934/mbe.2013.10.649openalex-snapshot
Shear-thinning effects of hemodynamics in patient-specific cerebral aneurysms
inferredcites →https://doi.org/10.4171/pm/1968openalex-snapshot
Existence of optimal boundary control for the Navier–Stokes equations with mixed boundary conditions
inferredcites →https://doi.org/10.48550/arxiv.1606.08069openalex-snapshot
An iteration count estimate for a mesh-dependent steepest descent method based on finite elements and Riesz inner product representation

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4700974openalex-extracted
Input Parameterized Physics Informed Neural Network for Advanced 4d Flow MRI Processing
inferred← citeshttps://doi.org/10.1002/cnm.3381openalex-snapshot
Towards multi‐modal data fusion for super‐resolution and denoising of 4D‐Flow MRI
inferred← citeshttps://doi.org/10.1002/cnm.3516openalex-snapshot
An optimal control approach to determine resistance‐type boundary conditions from in‐vivo data for cardiovascular simulations
inferred← citeshttps://doi.org/10.1002/cnm.3562openalex-snapshot
On the numerical treatment of viscous and convective effects in relative pressure reconstruction methods
inferred← citeshttps://doi.org/10.1002/cnm.3613openalex-snapshot
Inverse problems in blood flow modeling: A review
inferred← citeshttps://doi.org/10.1002/cnm.3794openalex-snapshot
Adaptive Doppler bio‐signal detector and time‐frequency representation based on non‐Liènard oscillator
inferred← citeshttps://doi.org/10.1002/mma.6630openalex-snapshot
Numerical solutions for blood flow in elastic vessels
inferred← citeshttps://doi.org/10.1002/mrm.28269openalex-snapshot
Blood flow imaging by optimal matching of computational fluid dynamics to 4D‐flow data
inferred← citeshttps://doi.org/10.1007/978-3-030-32245-8_82openalex-snapshot
Fourier Spectral Dynamic Data Assimilation: Interlacing CFD with 4D Flow MRI
inferred← citeshttps://doi.org/10.1007/978-3-032-17396-6_7openalex-snapshot
Estimation of Optimal Inlet Boundary Conditions for Blood Flow Assessment in Abdominal Aortic Aneurysm Using Variational Data Assimilation
inferred← citeshttps://doi.org/10.1007/s00062-020-00959-2openalex-snapshot
Hemodynamic Data Assimilation in a Subject-specific Circle of Willis Geometry
inferred← citeshttps://doi.org/10.1007/s00366-022-01723-5openalex-snapshot
Accurate quantification of blood flow wall shear stress using simulation-based imaging: a synthetic, comparative study
inferred← citeshttps://doi.org/10.1007/s10439-024-03606-wopenalex-snapshot
Super-Resolving and Denoising 4D flow MRI of Neurofluids Using Physics-Guided Neural Networks
inferred← citeshttps://doi.org/10.1007/s10915-020-01285-yopenalex-snapshot
Finite Element Error Estimates on Geometrically Perturbed Domains
inferred← citeshttps://doi.org/10.1007/s11075-025-02164-zopenalex-snapshot
The modified Tikhonov regularization method for backward heat conduction problem with a complete parabolic equation in $${{\mathbb {R}}^{n}}$$
inferred← citeshttps://doi.org/10.1016/j.amc.2024.129157openalex-snapshot
Determination of Navier's slip parameter using data assimilation
inferred← citeshttps://doi.org/10.1016/j.amc.2024.129266openalex-snapshot
Time-dependent strategy for improving aortic blood flow simulations with boundary control and data assimilation
inferred← citeshttps://doi.org/10.1016/j.cma.2026.118927openalex-snapshot
In vivo blood viscosity estimation from microscopic images by solving an inverse incompressible Navier-Stokes problem
inferred← citeshttps://doi.org/10.1016/j.cmpb.2020.105729openalex-snapshot
Super-resolution and denoising of 4D-Flow MRI using physics-Informed deep neural nets
inferred← citeshttps://doi.org/10.1016/j.cmpb.2024.108057openalex-snapshot
Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRI
inferred← citeshttps://doi.org/10.1016/j.cmpb.2025.108861openalex-snapshot
A practical strategy for data assimilation of cerebral intra-aneurysmal flows using a variational method with boundary control of velocity
inferred← citeshttps://doi.org/10.1016/j.compbiomed.2019.103507openalex-snapshot
Transient flow prediction in an idealized aneurysm geometry using data assimilation
inferred← citeshttps://doi.org/10.1016/j.compbiomed.2021.104566openalex-snapshot
Integrating multi-fidelity blood flow data with reduced-order data assimilation
inferred← citeshttps://doi.org/10.1016/j.compfluid.2019.104391openalex-snapshot
Noise reduction of flow MRI measurements using a lattice Boltzmann based topology optimisation approach
inferred← citeshttps://doi.org/10.1016/j.compfluid.2025.106957openalex-snapshot
Fine-tuning physics-informed neural networks for cavity flows using coordinate transformation
inferred← citeshttps://doi.org/10.1016/j.engappai.2025.110600openalex-snapshot
Input parameterized physics informed neural networks for de noising, super-resolution, and imaging artifact mitigation in time resolved three dimensional phase-contrast magnetic resonance imaging
inferred← citeshttps://doi.org/10.1016/j.heliyon.2020.e05772openalex-snapshot
Proposal of an open-source computational toolbox for solving PDEs in the context of chemical reaction engineering using FEniCS and complementary components
inferred← citeshttps://doi.org/10.1016/j.jcp.2022.111667openalex-snapshot
Efficient assimilation of sparse data into RANS-based turbulent flow simulations using a discrete adjoint method
inferred← citeshttps://doi.org/10.1016/j.nic.2025.05.002openalex-snapshot
Predicting Cerebral Aneurysm Rupture
inferred← citeshttps://doi.org/10.1017/jfm.2021.596openalex-snapshot
Image-based blood flow estimation using a semi-analytical solution to the advection–diffusion equation in cylindrical domains
inferred← citeshttps://doi.org/10.1017/jfm.2022.503openalex-snapshot
Joint reconstruction and segmentation of noisy velocity images as an inverse Navier–Stokes problem
inferred← citeshttps://doi.org/10.1038/s41598-019-55353-xopenalex-snapshot
5D Flow Tensor MRI to Efficiently Map Reynolds Stresses of Aortic Blood Flow In-Vivo
inferred← citeshttps://doi.org/10.1063/5.0055600openalex-snapshot
Uncovering near-wall blood flow from sparse data with physics-informed neural networks
inferred← citeshttps://doi.org/10.1088/1361-6420/ad9cb7openalex-snapshot
Bayesian inverse Navier–Stokes problems: joint flow field reconstruction and parameter learning
inferred← citeshttps://doi.org/10.1093/imanum/drae010openalex-snapshot
Variational data assimilation with finite-element discretization for second-order parabolic interface equation
inferred← citeshttps://doi.org/10.1098/rsif.2020.0802openalex-snapshot
Data-driven cardiovascular flow modelling: examples and opportunities
inferred← citeshttps://doi.org/10.1109/c2i456876.2022.10051376openalex-snapshot
Comparative Analysis of Finite Element Method Solvers in Computational Blood Flow Investigations
inferred← citeshttps://doi.org/10.1109/icip46576.2022.9897988openalex-snapshot
Segmentation-Free Super-Resolved 4D flow MRI Reconstruction Exploiting Navier-Stokes Equations and Spatial Regularization
inferred← citeshttps://doi.org/10.1109/isbi52829.2022.9761510openalex-snapshot
Navier-Stokes-Based Regularization for 4d Flow MRI Super-Resolution
inferred← citeshttps://doi.org/10.1109/tip.2022.3228172openalex-snapshot
Physics-Informed Compressed Sensing for PC-MRI: An Inverse Navier-Stokes Problem
inferred← citeshttps://doi.org/10.1109/tip.2024.3470553openalex-snapshot
Segmentation-Free Velocity Field Super-Resolution on 4D Flow MRI
inferred← citeshttps://doi.org/10.1109/tmi.2022.3161653openalex-snapshot
Physics-Informed Neural Networks for Brain Hemodynamic Predictions Using Medical Imaging
inferred← citeshttps://doi.org/10.1109/tpami.2022.3202855openalex-snapshot
Reformulating Optical Flow to Solve Image-Based Inverse Problems and Quantify Uncertainty
inferred← citeshttps://doi.org/10.1111/cgf.14088openalex-snapshot
Data Assimilation for Full 4D PC‐MRI Measurements: Physics‐Based Denoising and Interpolation
inferred← citeshttps://doi.org/10.1137/22m1492994openalex-snapshot
Variational Data Assimilation and its Decoupled Iterative Numerical Algorithms for Stokes–Darcy Model
inferred← citeshttps://doi.org/10.1299/jbse.22-00050openalex-snapshot
A concept on velocity estimation from magnetic resonance velocity images based on variational optimal boundary control
inferred← citeshttps://doi.org/10.3390/biomedicines10092157openalex-snapshot
Interplay between Artificial Intelligence and Biomechanics Modeling in the Cardiovascular Disease Prediction
inferred← citeshttps://doi.org/10.3990/1.9789463327480openalex-snapshot
Computational hemodynamics and vessel wall imaging for intracranial aneurysm assessment: Exploring the boundaries
inferred← citeshttps://doi.org/10.48550/arxiv.2107.07863openalex-snapshot
Simultaneous boundary shape estimation and velocity field de-noising in Magnetic Resonance Velocimetry using Physics-informed Neural Networks
inferred← citeshttps://doi.org/10.70675/7404d7afz8cedz4e51z9fe1zae0ef1830f07openalex-snapshot
Variational approaches in inverse problems for image-based characterisation of cellular dynamics
inferred← citeshttps://doi.org/10.70675/88c8b0c7z0908z46e3z9a5az620c3e0eb94eopenalex-snapshot
Approches RBF-FD pour la modélisation de la pollution atmosphérique urbaine et l'estimation de sources
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.