Biomembrane modeling with isogeometric analysis

DOI10.1016/j.cma.2018.12.025zbMath1440.74193OpenAlexW2906057427WikidataQ128611937 ScholiaQ128611937MaRDI QIDQ1987795

Luca Dedè, Andrea Bartezzaghi, Alfio M. Quarteroni

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.12.025

zbMATH Keywords

Lagrange multiplierisogeometric analysisbackward differentiation formulasCanham-Helfrich energygeometric partial differential equationlipid biomembrane

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15) Biomechanical solid mechanics (74L15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

An isogeometric finite element formulation for boundary and shell viscoelasticity based on a multiplicative surface deformation split ⋮ Phase-field Navier-Stokes model for vesicle doublets hydrodynamics in incompressible fluid flow ⋮ An isogeometric boundary element method for soft particles flowing in microfluidic channels ⋮ Modeling curvature-resisting material surfaces with isogeometric analysis

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