Isogeometric analysis of fluid cellular membranes: Application of discrete exterior calculus and isogeometric analysis to Stokes flow on time-evolving surfaces

An isogeometric finite element method for incompressible fluid film equations is presented. The method can be applied to numerically model the behaviour of thin cellular membranes, such as lipid bilayers. The membranes are represented by infinitely thin closed surfaces. Both the surface parametrization and analysis are based on state-of-the-art...