Abstract
A family of implicit-in-time mixed finite element schemes is presented for the numerical approximation of the acoustic wave equation. The mixed space discretization is based on the displacement form of the wave equation and the time-stepping method employs a three-level one-parameter scheme. A rigorous stability analysis is presented based on energy estimation and sharp stability results are obtained. A convergence analysis is carried out and optimal a priorierror estimates for both displacement and pressure are derived.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol20iss2pp31-41
- Journal
- Sultan Qaboos University Journal for Science, 20(2), 31
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Karaa, S. (2015). A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation. Sultan Qaboos University Journal for Science, 20(2), 31. https://doi.org/10.24200/squjs.vol20iss2pp31-41
MLA 9
Karaa, Samir. "A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation." Sultan Qaboos University Journal for Science, vol. 20, no. 2, 2015, pp. 31. https://doi.org/10.24200/squjs.vol20iss2pp31-41.
Chicago (author–date)
Karaa, Samir. 2015. "A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation." Sultan Qaboos University Journal for Science 20 (2): 31. https://doi.org/10.24200/squjs.vol20iss2pp31-41.
Harvard
Karaa, S. (2015) 'A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation', Sultan Qaboos University Journal for Science, 20(2), pp. 31. doi:10.24200/squjs.vol20iss2pp31-41.
Vancouver
Karaa S. A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation. Sultan Qaboos University Journal for Science. 2015;20(2):31. doi:10.24200/squjs.vol20iss2pp31-41
IEEE
S. Karaa, "A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation," Sultan Qaboos University Journal for Science, vol. 20, no. 2, pp. 31, 2015, doi: 10.24200/squjs.vol20iss2pp31-41.