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A Posteriori Error Estimate for Finite Volume Element Method of the Second-Order Hyperbolic Equations

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  • Chuanjun Chen
  • Xin Zhao
  • Yuanyuan Zhang

Abstract

We establish a posteriori error estimate for finite volume element method of a second-order hyperbolic equation. Residual-type a posteriori error estimator is derived. The computable upper and lower bounds on the error in the -norm are established. Numerical experiments are provided to illustrate the performance of the proposed estimator.

Suggested Citation

  • Chuanjun Chen & Xin Zhao & Yuanyuan Zhang, 2015. "A Posteriori Error Estimate for Finite Volume Element Method of the Second-Order Hyperbolic Equations," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, December.
    • Handle: RePEc:hin:jnlmpe:510241
    DOI: 10.1155/2015/510241
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