A Priori Error Estimates for Mixed Finite ElementSchemes for the Wave Equation

Sultan Qaboos University Journal for Science

Samir Karaa¹ 

[1] Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box: 36, Al-Khod 123, Muscat, Sultanate of Oman.;

关键词: Energy technique;    Error estimation;    Mixed finite elements;    Wave equation.;   

DOI  :  10.24200/squjs.vol20iss2pp31-41

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown