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Convergence Analysis of a Discontinuous Finite Volume Method for the Signorini Problem

Author

Listed:
  • Yuping Zeng
  • Fen Liang

Abstract

We introduce and analyze a discontinuous finite volume method for the Signorini problem. Under suitable regularity assumptions on the exact solution, we derive an optimal a priori error estimate in the energy norm.

Suggested Citation

  • Yuping Zeng & Fen Liang, 2020. "Convergence Analysis of a Discontinuous Finite Volume Method for the Signorini Problem," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 12(4), pages 1-49, August.
    • Handle: RePEc:ibn:jmrjnl:v:12:y:2020:i:4:p:49
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    References listed on IDEAS

    as
    1. Zhang, Tie & Li, Zheng, 2015. "An analysis of finite volume element method for solving the Signorini problem," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 830-841.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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