Semi-group stability of finite difference ...
Document type :
Article dans une revue scientifique: Article original
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Title :
Semi-group stability of finite difference schemes in corner domains
Author(s) :
Benoit, Antoine [Auteur]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Département de Mathématique [Bruxelles] [ULB]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Département de Mathématique [Bruxelles] [ULB]
Journal title :
Numerical Mathematics: Theory, Methods and Applications
Pages :
618-654
Publisher :
GSP / Nanjing University Press
Publication date :
2018
ISSN :
1004-8979
HAL domain(s) :
Mathématiques [math]/Analyse numérique [math.NA]
English abstract : [en]
In this article we are interested in the semi-group stability for finite difference discretizations of hyperbolic systems of equations in corner domains. We give generalizations of the results of [CG11] and [Cou15] from ...
Show more >In this article we are interested in the semi-group stability for finite difference discretizations of hyperbolic systems of equations in corner domains. We give generalizations of the results of [CG11] and [Cou15] from the half space geometry to the quarter space geometry. The most interesting fact is that the proofs of [CG11] and [Cou15] can be adaptated with minor changes to apply in the quarter space geometry. This is due to the fact that both methods in [CG11] and [Cou15] are based on energy methods and the construction of auxiliary problems with strictly dissipative boundary conditions which are known to be suitable for the strong well-posed for initial boundary value problems in the quarter space.Show less >
Show more >In this article we are interested in the semi-group stability for finite difference discretizations of hyperbolic systems of equations in corner domains. We give generalizations of the results of [CG11] and [Cou15] from the half space geometry to the quarter space geometry. The most interesting fact is that the proofs of [CG11] and [Cou15] can be adaptated with minor changes to apply in the quarter space geometry. This is due to the fact that both methods in [CG11] and [Cou15] are based on energy methods and the construction of auxiliary problems with strictly dissipative boundary conditions which are known to be suitable for the strong well-posed for initial boundary value problems in the quarter space.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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Source :
Submission date :
2025-01-24T17:56:48Z
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