Stability and geometric conservation laws for ALE formulations

被引：83

作者：

Boffi, D

Gastaldi, L

机构：

[1] Univ Brescia, Dipartimento Matemat, I-24133 Brescia, Italy

[2] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2004年 / 193卷 / 42-44期

关键词：

ALE; stability; conservation laws;

D O I：

10.1016/j.cma.2004.02.020

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this paper is to investigate a model ALE scheme, with respect to various possible choices of time discretizations. For each time scheme, we investigate the relationships between stability and the so-called geometric conservation laws (GCL). We shall see that GCL condition proves neither necessary nor sufficient for stability. In doing so, we review some known theoretical results and we prove some new stability results for space-time ALE discretizations. Some new error estimates are also presented. Several numerical experiments confirm the theory. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：4717 / 4739

页数：23

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