@inproceedings{edb5262913ff42daadd131f2c11e9a20,
title = "Vesicle shape deformation using a discontinuous Galerkin method",
abstract = "This work concerns the development of a finite-element algorithm to discretize the phase-field model for the shape deformation of a vesicle based on the idea of discontinuous Galerkin method. The phase-field model originated from minimization of Canham-Helfrich elastic bending energy involves fourth-order gradients and thus C1-basis functions are required for the standard conforming Galerkin formulation. We introduce a relatively inexpensive, nonconforming method based on C0-basis functions. We present the variational form of the method including additional terms to weakly enforce continuity of the derivatives across interelement boundaries and its stabilization is achieved via Nitsche's method. Numerical tests for the equilibrium shape of a single component vesicle are performed to demonstrate the performance of the proposed variational formulation.",
keywords = "Discontinuous Galerkin, Finite-element, Phase-field model, Vesicle",
author = "Kim, \{Tae Yeon\} and Wen Jiang and Lee, \{Sung Mun\} and Song, \{Jeong Hoon\} and Park, \{Eun Jae\}",
note = "Funding Information: T.-Y. Kim and S.M. Lee gratefully appreciate the support from Khalifa University Internal Research Funding (KURIF Level 2 No. 8474000002) and ADEK Award for Research Excellence (AARE) 2017 (AARE17-069). Publisher Copyright: copyright {\textcopyright} Crown copyright (2018).All right reserved.; 6th ECCOMAS European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th ECCOMAS European Conference on Computational Fluid Dynamics, ECFD 2018 ; Conference date: 11-06-2018 Through 15-06-2018",
year = "2020",
language = "British English",
series = "Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018",
pages = "1886--1895",
editor = "Roger Owen and \{de Borst\}, Rene and Jason Reese and Chris Pearce",
booktitle = "Proceedings of the 6th European Conference on Computational Mechanics",
}