Semi-implicit level set methods for curvature and surface diffusion motion

被引:163
作者
Smereka, P [1 ]
机构
[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
基金
美国国家科学基金会;
关键词
curvature flow; surface diffusion; level set methods;
D O I
10.1023/A:1025324613450
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we introduce semi-implicit methods for evolving interfaces by mean curvature flow and surface diffusion using level set methods.
引用
收藏
页码:439 / 456
页数:18
相关论文
共 22 条
[1]   A level set approach to a unified model for etching, deposition, and lithography .3. Redeposition, reemission, surface diffusion, and complex simulations [J].
Adalsteinsson, D ;
Sethian, JA .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 138 (01) :193-223
[2]   A simple level set method for solving Stefan problems [J].
Chen, S ;
Merriman, B ;
Osher, S ;
Smereka, P .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 135 (01) :8-29
[3]  
CHEN S, 1996, THESIS UCLA
[4]  
DOUGLAS JJ, 1971, NUMERICAL SOLUTION P
[5]  
GLASNER K, 2002, DIFFUSE INTERFACE AP
[6]   Numerical simulation of grain-boundary grooving by level set method [J].
Khenner, M ;
Averbuch, A ;
Israeli, M ;
Nathan, M .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 170 (02) :764-784
[7]   A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid [J].
Li, ZL ;
Zhao, HK ;
Gao, HJ .
JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 152 (01) :281-304
[8]   MOTION OF MULTIPLE JUNCTIONS - A LEVEL SET APPROACH [J].
MERRIMAN, B ;
BENCE, JK ;
OSHER, SJ .
JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 112 (02) :334-363
[9]   MASS-TRANSPORT AT INTERFACES IN SINGLE-COMPONENT SYSTEMS [J].
MULLINS, WW .
METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1995, 26 (08) :1917-1929
[10]   THEORY OF THERMAL GROOVING [J].
MULLINS, WW .
JOURNAL OF APPLIED PHYSICS, 1957, 28 (03) :333-339