A proof that a discrete delta function is second-order accurate

被引：8
|
作者：
Beale, J. Thomas [1 ]
机构：
[1] Duke Univ, Dept Math, Durham, NC 27708 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2008年 / 227卷 / 04期
基金：
美国国家科学基金会;
关键词：
discrete delta function; level set function; surface integral;
D O I：
10.1016/j.jcp.2007.11.004
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
It is proved that a discrete delta function introduced by Smereka [P. Smereka, The numerical approximation of a delta function with application to level set methods, J. Comput. Phys. 211 (2006) 77-90] gives a second-order accurate quadrature rule for surface integrals using values on a regular background grid. The delta function is found using a technique of Mayo [A. Mayo, The fast solution of Poisson's and the biharmonic equations on irregular regions, SIAM J. Numer. Anal. 21 (1984) 285-299]. It can be expressed naturally using a level set function. (c) 2007 Elsevier Inc. All rights reserved.
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页码：2195 / 2197
页数：3
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