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Medientyp: Sonstige Veröffentlichung; E-Artikel Titel: A mixed finite element method for solving coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term Beteiligte: Parvizi, Maryam [Verfasser:in]; Khodadadian, Amirreta [Verfasser:in]; Eslahchi, M.R. [Verfasser:in] Erschienen: Chichester, West Sussex : Wiley, 2021 Erschienen in: Mathematical Methods in the Applied Sciences 44 (2021), Nr. 17 ; Mathematical Methods in the Applied Sciences Ausgabe: published Version Sprache: Englisch DOI: https://doi.org/10.15488/12382; https://doi.org/10.1002/mma.7556 Schlagwörter: Second-order wave equations ; Wave equations ; Numerical methods ; Raviart-Thomas mixed finite elements ; Raviart-Thomas mixed finite element ; Coupled wave equations ; Nonlinear equations ; convergence ; Mixed finite element methods ; 65N22 Numerical solution of discretized equations for boundary value problems involving PDEs ; nonlinear wave equation ; Numerical approximations ; 65N15 error bounds for boundary value problems involving PDEs ; Nonlinear boundary ; Finite element method ; Mixed finite element approximation ; semi-discretization ; Damping ; Space discretizations Entstehung: Anmerkungen: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen. Beschreibung: This paper is concerned with the numerical approximation of the solution of the coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term using a mixed finite element method. The Raviart-Thomas mixed finite element method is one of the most prominent techniques to discretize the second-order wave equations; therefore, we apply this scheme for space discretization. Furthermore, an L2-in-space error estimate is presented for this mixed finite element approximation. Finally, the efficiency of the method is verified by a numerical example. © 2021 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd. Zugangsstatus: Freier Zugang Rechte-/Nutzungshinweise: Namensnennung (CC BY)