A mixed finite element method for solving coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term
- authored by
- 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.
- Organisation(s)
-
Institute of Applied Mathematics
PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines
- External Organisation(s)
-
Tarbiat Modarres University
- Type
- Article
- Journal
- Mathematical Methods in the Applied Sciences
- Volume
- 44
- Pages
- 12500-12521
- No. of pages
- 22
- ISSN
- 0170-4214
- Publication date
- 07.11.2021
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Mathematics(all), Engineering(all)
- Electronic version(s)
-
https://doi.org/10.1002/mma.7556 (Access:
Open)
