Analysis of a Discontinuous Least Squares Spectral Element Method

被引：21

作者：

Gerritsma, Marc I. ^{[1
]}

Proot, Michael M. J. ^{[1
]}

机构：

[1] Delft Univ Technol, Dept Aerosp Engn, NL-2629 HS Delft, Netherlands

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2002年 / 17卷 / 1-4期

关键词：

Least-squares formulation; spectral element method; discontinuous approximation;

D O I：

10.1023/A:1015173203136

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the development of a Discontinuous Spectral Least-Squares method. Based on pre-multiplication with a mesh-dependent function a discontinuous functional can be set up. Coercivity of this functional will be established. An example of the approximation to a continuous solution and a solution in which a jump is prescribed will be presented. The discontinuous least-squares method preserves symmetry and positive definiteness of the discrete system.

引用

页码：297 / 306

页数：10

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