지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2013.5
- 수록면
- 27 - 31 (5page)
이용수
초록· 키워드
오류제보하기
In this paper, we propose an accurate and robust numerical method for the phase-field model of the Willmore flow with area conservation and interface length constraint in two-dimensional space. Our method is similar to the one used by Du et al. [A phase field approach in the numerical study of the elastic bending energy for vesicle membranes, J. Comput. Phys. 198 (2004) 450?468] with a key difference. Here, we use a space-time dependent Lagrange multiplier to accurately conserve the area of vesicle membranes while Du et al. introduced a penalty term to roughly enforce the area conservation. We also derive the phase-field model for the Willmore functional using a simple argument. The proposed numerical method is based on an unconditionally gradient stable scheme and a direct area correction algorithm. The accuracy and effectiveness of the proposed model and numerical algorithm are demonstrated through numerical examples.
목차
ABSTRACT
INTRODUCTION
PHASE-FIELD MODEL FOR A VESICLE MEMBRANE
NUMERICAL METHODS
NUMERICAL RESULTS
REFERENCES
참고문헌 (0)
참고문헌 신청이 논문의 저자 정보
최근 본 자료
댓글(0)
0
UCI(KEPA) : I410-ECN-0101-2014-400-002404198