Stability and geometric conservation laws for ALE formulations

Daniele Boffi; Lucia Gastaldi

doi:10.1016/j.cma.2004.02.020

Stability and geometric conservation laws for ALE formulations

Daniele Boffi, Lucia Gastaldi

Research output: Contribution to journal › Article › peer-review

85 Scopus citations

Abstract

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. © 2004 Elsevier B.V. All rights reserved.

Original language	English (US)
Pages (from-to)	4717-4739
Number of pages	23
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	193
Issue number	42-44
DOIs	https://doi.org/10.1016/j.cma.2004.02.020
State	Published - Oct 22 2004
Externally published	Yes

Access to Document

10.1016/j.cma.2004.02.020

Cite this

@article{b6cf248aed6c49ad930117e455cef22b,

title = "Stability and geometric conservation laws for ALE formulations",

abstract = "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. {\textcopyright} 2004 Elsevier B.V. All rights reserved.",

author = "Daniele Boffi and Lucia Gastaldi",

note = "Generated from Scopus record by KAUST IRTS on 2020-05-05",

year = "2004",

month = oct,

day = "22",

doi = "10.1016/j.cma.2004.02.020",

language = "English (US)",

volume = "193",

pages = "4717--4739",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0045-7825",

publisher = "Elsevier B.V.",

number = "42-44",

}

TY - JOUR

T1 - Stability and geometric conservation laws for ALE formulations

AU - Boffi, Daniele

AU - Gastaldi, Lucia

N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05

PY - 2004/10/22

Y1 - 2004/10/22

N2 - 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. © 2004 Elsevier B.V. All rights reserved.

AB - 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. © 2004 Elsevier B.V. All rights reserved.

UR - https://linkinghub.elsevier.com/retrieve/pii/S0045782504002336

UR - http://www.scopus.com/inward/record.url?scp=10044226110&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2004.02.020

DO - 10.1016/j.cma.2004.02.020

M3 - Article

SN - 0045-7825

VL - 193

SP - 4717

EP - 4739

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 42-44

ER -

Stability and geometric conservation laws for ALE formulations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this