A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation
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 rigor...
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| Format: | Article |
| Language: | English |
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Sultan Qaboos University
2015-12-01
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| Series: | Sultan Qaboos University Journal for Science |
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| Online Access: | https://journals.squ.edu.om/index.php/squjs/article/view/442 |
| Summary: | 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. |
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| ISSN: | 1027-524X 2414-536X |