Abstract: | |
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.
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License of this version: | CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0/ |
Publication type: | Article |
Publishing status: | publishedVersion |
Publication date: | 2021 |
Keywords english: | 65N15 error bounds for boundary value problems involving PDEs, 65N22 Numerical solution of discretized equations for boundary value problems involving PDEs, convergence, nonlinear wave equation, Raviart-Thomas mixed finite element, semi-discretization, Damping, Nonlinear equations, Numerical methods, Wave equations, Coupled wave equations, Mixed finite element approximation, Mixed finite element methods, Nonlinear boundary, Numerical approximations, Raviart-Thomas mixed finite elements, Second-order wave equations, Space discretizations, Finite element method |
DDC: | 510 | Mathematik |
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