Parametric FEM for geometric biomembranes Academic Article uri icon


  • We consider geometric biomembranes governed by an L2-gradient flow for bending energy subject to area and volume constraints (Helfrich model). We give a concise derivation of a novel vector formulation, based on shape differential calculus, and corresponding discretization via parametric FEM using quadratic isoparametric elements and a semi-implicit Euler method. We document the performance of the new parametric FEM with a number of simulations leading to dumbbell, red blood cell and toroidal equilibrium shapes while exhibiting large deformations. 2010 Elsevier Inc.

published proceedings


author list (cited authors)

  • Bonito, A., Nochetto, R. H., & Pauletti, M. S.

citation count

  • 58

complete list of authors

  • Bonito, Andrea||Nochetto, Ricardo H||Pauletti, M Sebastian

publication date

  • January 1, 2010 11:11 AM