A Locally Conservative High-Order Least-Squares Formulation in Curvilinear Coordinates

被引：0
|
作者：
Gerritsma, Marc [1 ]
Bochev, Pavel [2 ]
机构：
[1] Delft Univ Technol, NL-2629 HS Delft, Netherlands
[2] Sandia Natl Labs, Computat Math, Albuquerque, NM 87185 USA
来源：
SPECTRAL AND HIGH ORDER METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS ICOSAHOM 2014 | 2015年 / 106卷
关键词：
SPECTRAL ELEMENT METHOD; MASS-CONSERVATION; MOMENTUM; FLOW;
D O I：
10.1007/978-3-319-19800-2_19
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We present a locally conservative spectral least-squares formulation for the scalar diffusion-reaction equation in curvilinear coordinates. Careful selection of a least squares functional and compatible finite dimensional subspaces for the solution space yields the conservation properties. Numerical examples confirm the theoretical properties of the method.
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页码：227 / 235
页数：9
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