The BFGS algorithm for a nonlinear least squares problem arising from blood flow in arteries

DOI10.1016/j.camwa.2004.11.002zbMath1067.92032OpenAlexW2059073204MaRDI QIDQ2485395

Cornel Marius Murea

Publication date: 4 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.11.002

zbMATH Keywords

BFGS algorithmsteady Stokes equationsArbitrary Lagrangian Eulerian coordinatesFluid structure interaction

Mathematics Subject Classification ID

Related Items (7)

Numerical simulation of a pulsatile flow through a flexible channel ⋮ Numerical procedure with analytic derivative for unsteady fluid–structure interaction ⋮ A stable time advancing scheme for solving fluid-structure interaction problem at small structural displacements ⋮ Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid–structure interaction coupling problems ⋮ A fast method for solving fluid–structure interaction problems numerically ⋮ Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem ⋮ Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity

Uses Software

• FreeFem++

Cites Work

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• Existence for a three-dimensional steady-state fluid-structure interaction problem
• On the existence of strong solutions to a coupled fluid-structure evolution problem
• An introduction to continuum mechanics
• Sensitivity and approximation of coupled fluid-structure equations by virtual control method
• A Rotated Multiplier Applied to the Controllability of Waves, Elasticity, and Tangential Stokes Control
• Existence of a solution for a lubrication problem in elastic journal‐bearing devices with thin bearing
• Finite-element simulation of incompressible fluid flow in an elastic vessel
• Existence for an Unsteady Fluid-Structure Interaction Problem
• SENSITIVITY ANALYSIS FOR AN INCOMPRESSIBLE AEROELASTIC SYSTEM
• Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
• A Quasi-Newton Algorithm Based on a Reduced Model for Fluid-Structure Interaction Problems in Blood Flows
• Fluid-structure interaction with large structural displacements
• On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
• Weak solutions for a fluid-elastic structure interaction model
• The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids.

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