A finite element method to compute three-dimensional equilibrium configurations of fluid membranes: optimal parameterization, variational formulation and applications

DOI10.1016/j.jcp.2015.05.001zbMath1349.76255OpenAlexW2413054763WikidataQ60158044 ScholiaQ60158044MaRDI QIDQ350156

Ramsharan Rangarajan, Hua-Jian Gao

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.05.001

zbMATH Keywords

finite element methodcell adhesiondrug deliverybiomembranecell-nanoparticle interaction

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flows (76Z05)

Related Items (7)

Arbitrary Lagrangian-Eulerian finite element method for curved and deforming surfaces. I: General theory and application to fluid interfaces ⋮ A stabilized finite element formulation for liquid shells and its application to lipid bilayers ⋮ Osmotically driven beading instability in axons: continuum theory, perturbation analysis and finite element implementation ⋮ Computational modeling of coupled interactions of fluid membranes with embedded filaments ⋮ A gauge-fixing procedure for spherical fluid membranes and application to computations ⋮ A monolithic fluid-structure interaction formulation for solid and liquid membranes including free-surface contact ⋮ Modelling fluid deformable surfaces with an emphasis on biological interfaces

Uses Software

• Matlab
• PETSc
• GSL
• bvp4c

Cites Work

• Unnamed Item
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