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On the application of mixed finite element method for a strongly nonlinear second-order hyperbolic equation

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Abstract

Mixed finite element method is developed to approximate the solution of the initial-boundary value problem for a strongly nonlinear second-order hyperbolic equation in divergence form. Existence and uniqueness of the approximation are proved, and optimal-orderL ∞-in-time,L 2-in-space a priori error estimates are derived for both the scalar and vector functions approximated by the method.

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Authors and Affiliations

  1. Department of Mathematics, Shandong Normal University, Jinan, 250014, Shandong, People’s Republic of China

    Ziwen Jiang & Huanzhen Chen

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  1. Ziwen Jiang
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  2. Huanzhen Chen
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Jiang, Z., Chen, H. On the application of mixed finite element method for a strongly nonlinear second-order hyperbolic equation. Korean J. Comput. & Appl. Math. 5, 23–39 (1998). https://doi.org/10.1007/BF03008933

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  • DOI: https://doi.org/10.1007/BF03008933

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