Name
Abstract | ||
|---|---|---|
We consider geometric biomembranes governed by an L^2-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. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.jcp.2009.12.036 | J. Comput. Physics |
Keywords | Field | DocType |
large deformation,corresponding discretization,helfrich,parametric fem,energy subject,geometric flow,helfrich model,new parametric fem,shape dierential,2-gradient flow,isoparametric elements,shape differential calculus,geometric biomembranes,moving finite elements,novel vector formulation,red blood cell,bending energy,willmore,concise derivation,biomembrane,gradient flow,differential calculus,finite element | Discretization,Geometric flow,Euler method,Mathematical analysis,Quadratic equation,Finite element method,Parametric statistics,Differential calculus,Balanced flow,Mathematics | Journal |
Volume | Issue | ISSN |
229 | 9 | Journal of Computational Physics |
Citations | PageRank | References |
19 | 1.23 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrea Bonito | 1 | 141 | 19.34 |
| Ricardo H. Nochetto | 2 | 907 | 110.08 |
| M. S. Pauletti | 3 | 21 | 1.67 |