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.

引用

页码：227 / 235

页数：9