A proof that a discrete delta function is second-order accurate
A proof that a discrete delta function is second-order accurate
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DOI：
10.1016/j.jcp.2007.11.004
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发表时间：
2008-02-01
影响因子：
4.1
通讯作者：
Beale, J. Thomas
中科院分区：
文献类型：
--
作者：
Beale, J. Thomas
证明了Smereka引入的离散δ函数[P. Smereka，The numerical approximation of a delta function with application to level set methods，J. Comput. Phys.211（2006）77-90]给出了使用规则背景网格上的值的表面积分的二阶精确求积规则。使用马约[A.马约，不规则区域上泊松方程和双调和方程的快速解，SIAM J. Numer. Anal. 21（1984）285-299]。它可以使用水平集函数自然地表达。(c)2007年爱思唯尔公司All rights reserved.
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.