Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells

DOI10.1002/nme.4582zbMath1352.74388OpenAlexW2163385303WikidataQ56996011 ScholiaQ56996011MaRDI QIDQ2952387

Ricardo Ruiz-Baier, Aymen Laadhari, Alfio M. Quarteroni

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/188444

zbMATH Keywords

finite element approximationlevel set methodfluid-structure interactioncardiac cellsactive mechanicsorthotropic hyperelastic model

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Biomechanical solid mechanics (74L15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell biology (92C37) Physiological flows (76Z05) Computational methods for problems pertaining to biology (92-08)

Related Items (12)

Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics ⋮ Interaction of finitely-strained viscoelastic multipolar solids and fluids by an Eulerian approach ⋮ Eulerian finite volume formulation using Lagrangian marker particles for incompressible fluid–structure interaction problems ⋮ A data‐driven optimal control method for endoplasmic reticulum membrane compartmentalization in budding yeast cells ⋮ A level set method for shape optimization in semilinear elliptic problems ⋮ Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates ⋮ Primal-mixed formulations for reaction-diffusion systems on deforming domains ⋮ Finite element and finite volume-element simulation of pseudo-ECGs and cardiac alternans ⋮ Solvability analysis and numerical approximation of linearized cardiac electromechanics ⋮ Implicit finite element methodology for the numerical modeling of incompressible two-fluid flows with moving hyperelastic interface ⋮ Modeling Cardiac Mechanics on a Sub-Cellular Scale ⋮ Eulerian Techniques for Fluid-Structure Interactions: Part I – Modeling and Simulation

Uses Software

• Gmsh
• rheolef

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