A partial differential equation approach to multidimensional extrapolation

被引：194

作者：

Aslam, TD ^{[1
]}

机构：

[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2004年 / 193卷 / 01期

关键词：

extrapolation; level set; partial differential equation;

D O I：

10.1016/j.jcp.2003.08.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this short note, a general methodology for multidimensional extrapolation is presented. The approach assumes a level set function exists which separates the region of known values from the region to be extrapolated. It is shown that arbitrary orders of polynomial extrapolation can be formulated by simply solving a series of linear partial differential equations (PDEs). Examples of constant, linear and quadratic extrapolation are given. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：349 / 355

页数：7

共 10 条

[1]

Aslam T.D., 1996, THESIS U ILLINOIS UR

[2]

Fedkiw RP, 1999, J COMPUT PHYS, V152, P457, DOI 10.1006/jcph.1999.6136

[3] The ghost fluid method for deflagration and detonation discontinuities [J].