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Keywords:

  • second-order hyperbolic equations;
  • splitting positive definite mixed finite element;
  • superconvergence

In this article, we use a splitting positive definite mixed finite element procedure to solve the second-order hyperbolic equation. We analyze the superconvergence property of the mixed element methods with discrete-time approximation for the hyperbolic equation. Some numerical examples are presented to illustrate our theoretical results. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 175–186, 2014