الملخص
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.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol20iss2pp31-41
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 20(2), 31
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
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.
شيكاغو (المؤلف–التاريخ)
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.
هارفارد
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.
فانكوفر
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.