A Crank-Nicolson Scheme for the Dirichlet-to-Neumann Semigroup
Joint Authors
Ali Ahmad, Rola
El Arwadi, Toufic
Chrayteh, Houssam
Sac-Epée, Jean-Marc
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-09
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The aim of this work is to study a semidiscrete Crank-Nicolson type scheme in order to approximate numerically the Dirichlet-to-Neumann semigroup.
We construct an approximating family of operators for the Dirichlet-to-Neumann semigroup, which satisfies the assumptions of Chernoff’s product formula, and consequently the Crank-Nicolson scheme converges to the exact solution.
Finally, we write a P 1 finite element scheme for the problem, and we illustrate this convergence by means of a FreeFem++ implementation.
American Psychological Association (APA)
Ali Ahmad, Rola& El Arwadi, Toufic& Chrayteh, Houssam& Sac-Epée, Jean-Marc. 2015. A Crank-Nicolson Scheme for the Dirichlet-to-Neumann Semigroup. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1067090
Modern Language Association (MLA)
Ali Ahmad, Rola…[et al.]. A Crank-Nicolson Scheme for the Dirichlet-to-Neumann Semigroup. Journal of Applied Mathematics No. 2015 (2015), pp.1-5.
https://search.emarefa.net/detail/BIM-1067090
American Medical Association (AMA)
Ali Ahmad, Rola& El Arwadi, Toufic& Chrayteh, Houssam& Sac-Epée, Jean-Marc. A Crank-Nicolson Scheme for the Dirichlet-to-Neumann Semigroup. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1067090
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067090
