A mixed finite element method for solving coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term
- verfasst von
- Maryam Parvizi, Amirreza Khodadadian, M. R. Eslahchi
- Abstract
This paper is concerned with the numerical approximation of the solution of the coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term using a mixed finite element method. The Raviart-Thomas mixed finite element method is one of the most prominent techniques to discretize the second-order wave equations; therefore, we apply this scheme for space discretization. Furthermore, an L2-in-space error estimate is presented for this mixed finite element approximation. Finally, the efficiency of the method is verified by a numerical example.
- Organisationseinheit(en)
-
Institut für Angewandte Mathematik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
- Externe Organisation(en)
-
Tarbiat Modarres University
- Typ
- Artikel
- Journal
- Mathematical Methods in the Applied Sciences
- Band
- 44
- Seiten
- 12500-12521
- Anzahl der Seiten
- 22
- ISSN
- 0170-4214
- Publikationsdatum
- 07.11.2021
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Mathematik (insg.), Ingenieurwesen (insg.)
- Elektronische Version(en)
-
https://doi.org/10.1002/mma.7556 (Zugang:
Offen)
