Qiang Du  (Penn State University)
Title:	Adaptive finite element methods for phase field bending elasticity models of bio-membranes
Abstract:	In this talk, we will discuss a recently developed phase field models for vesicle membrane deformations and their numerical approximations. The related mathematical analysis of the PDE models is briefed discussed, and three dimensional adaptive finite element methods based on residual type a posteriori error estimates are presented, along with some simulation results.