A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction

F. Collino; T. Fouquet; P. Joly

doi:10.1007/s00211-002-0446-5

A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction

F. Collino
, T. Fouquet
, P. Joly

INRIA Rocquencourt

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We propose a new method for space-time refinement for the 1-D wave equation. This method is based on the conservation of a discrete energy through two different discretization grids which guarantees the stability of the scheme. Our approach results in a non-interpolator scheme whose stability condition is not affected by the transition between the two grids.

langue originale	Anglais
Pages (de - à)	197-221
Nombre de pages	25
journal	Numerische Mathematik
Volume	95
Numéro de publication	2
Les DOIs	https://doi.org/10.1007/s00211-002-0446-5
état	Publié - 1 août 2003
Modification externe	Oui

Accès au document

10.1007/s00211-002-0446-5

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{f4e5adbaadce48219bdce00516bbd99c,

title = "A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction",

abstract = "We propose a new method for space-time refinement for the 1-D wave equation. This method is based on the conservation of a discrete energy through two different discretization grids which guarantees the stability of the scheme. Our approach results in a non-interpolator scheme whose stability condition is not affected by the transition between the two grids.",

author = "F. Collino and T. Fouquet and P. Joly",

year = "2003",

month = aug,

day = "1",

doi = "10.1007/s00211-002-0446-5",

language = "English",

volume = "95",

pages = "197--221",

journal = "Numerische Mathematik",

issn = "0029-599X",

number = "2",

}

TY - JOUR

T1 - A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I

T2 - Construction

AU - Collino, F.

AU - Fouquet, T.

AU - Joly, P.

PY - 2003/8/1

Y1 - 2003/8/1

N2 - We propose a new method for space-time refinement for the 1-D wave equation. This method is based on the conservation of a discrete energy through two different discretization grids which guarantees the stability of the scheme. Our approach results in a non-interpolator scheme whose stability condition is not affected by the transition between the two grids.

AB - We propose a new method for space-time refinement for the 1-D wave equation. This method is based on the conservation of a discrete energy through two different discretization grids which guarantees the stability of the scheme. Our approach results in a non-interpolator scheme whose stability condition is not affected by the transition between the two grids.

UR - https://www.scopus.com/pages/publications/0042763514

U2 - 10.1007/s00211-002-0446-5

DO - 10.1007/s00211-002-0446-5

M3 - Article

AN - SCOPUS:0042763514

SN - 0029-599X

VL - 95

SP - 197

EP - 221

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 2

ER -

A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation