Evolution, implementation, and application of level set and fast marching methods for advancing fronts

被引：380

作者：

Sethian, JA ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2001年 / 169卷 / 02期

关键词：

D O I：

10.1006/jcph.2000.6657

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A variety of numerical techniques are available for tracking moving interfaces. In this review, we concentrate on techniques that result from the link between the partial differential equations that describe moving interfaces and numerical schemes designed for approximating the solutions: to hyperbolic conservation laws. This link gives rise to computational techniques for tracking moving interfaces in two and three space dimensions under complex speed laws. We discuss the evolution of these techniques, the fundamental numerical approximations, involved. implementation details, and applications. Tn particular, we review some work on three aspects of materials sciences: semiconductor process simulations. seismic processing, and optimal structural topology design. (C) 2001 Academic Press.

引用

页码：503 / 555

页数：53

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