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Expanded Mixed Finite Element Method for the Two-Dimensional Sobolev Equation

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  • Qing-li Zhao
  • Zong-cheng Li
  • You-zheng Ding

Abstract

Expanded mixed finite element method is introduced to approximate the two-dimensional Sobolev equation. This formulation expands the standard mixed formulation in the sense that three unknown variables are explicitly treated. Existence and uniqueness of the numerical solution are demonstrated. Optimal order error estimates for both the scalar and two vector functions are established.

Suggested Citation

  • Qing-li Zhao & Zong-cheng Li & You-zheng Ding, 2013. "Expanded Mixed Finite Element Method for the Two-Dimensional Sobolev Equation," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, June.
    • Handle: RePEc:hin:jnljam:934973
    DOI: 10.1155/2013/934973
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    Cited by:

    1. Néstor García-Chan & Juan A. Licea-Salazar & Luis G. Gutierrez-Ibarra, 2023. "Urban Heat Island Dynamics in an Urban–Rural Domain with Variable Porosity: Numerical Methodology and Simulation," Mathematics, MDPI, vol. 11(5), pages 1-18, February.

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