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A Priori Error Estimates for Mixed Finite Element $\theta$-Schemes for the Wave Equation - MaRDI portal

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A Priori Error Estimates for Mixed Finite Element $\theta$-Schemes for the Wave Equation

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Publication:6260903

arXiv1504.04098MaRDI QIDQ6260903

Author name not available (Why is that?)

Publication date: 16 April 2015

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 priori Linfty(L2) error estimates for both displacement and pressure are derived.





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