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Finite element approximation for the dynamics of asymmetric fluidic biomembranes

Barrett, John W., Garcke, Harald and Nürnberg, Robert (2016) Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Mathematics of Computation 86 (305), pp. 1037-1069.

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Other URL: http://doi.org/10.1090/mcom/3162


Abstract

We present a parametric finite element approximation of a fluidic membrane whose evolution is governed by a surface Navier-Stokes equation coupled to bulk Navier-Stokes equations. The elastic properties of the membrane are modelled with the help of curvature energies of Willmore and Helfrich type. Forces stemming from these energies act on the surface fluid, together with a forcing from the bulk ...

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Item type:Article
Date:2016
Institutions:Mathematics
Mathematics > Prof. Dr. Harald Garcke
Identification Number:
ValueType
10.1090/mcom/3162DOI
Keywords:RED-BLOOD-CELLS; NAVIER-STOKES EQUATIONS; PARAMETRIC APPROXIMATION; NUMERICAL-SIMULATION; WILLMORE FLOW; VESICLES; MOTION; SHAPE; DISCRETIZATION; CURVATURE;
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39071
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