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Analysis of the element-free Galerkin method for Signorini problems

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  • Li, Xiaolin
  • Dong, Haiyun

Abstract

An efficient element-free Galerkin (EFG) method is developed to solve Signorini boundary value problems. The nonlinear inequality Signorini boundary conditions are reduced to a sequence of linear boundary conditions by using a projection iterative scheme. Then, the EFG method is used to deduce discrete system equations. Convergence of the proposed method is discussed. Numerical examples are finally provided to verify the convergence and high computational accuracy of the method.

Suggested Citation

  • Li, Xiaolin & Dong, Haiyun, 2019. "Analysis of the element-free Galerkin method for Signorini problems," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 41-56.
    • Handle: RePEc:eee:apmaco:v:346:y:2019:i:c:p:41-56
    DOI: 10.1016/j.amc.2018.10.053
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    References listed on IDEAS

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    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.
    2. Zhang, Shougui, 2018. "Two projection methods for the solution of Signorini problems," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 75-86.
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    Cited by:

    1. Li, Xiaolin & Dong, Haiyun, 2020. "Error analysis of the meshless finite point method," Applied Mathematics and Computation, Elsevier, vol. 382(C).
    2. Zhang, Tao & Li, Xiaolin, 2020. "Analysis of the element-free Galerkin method with penalty for general second-order elliptic problems," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    3. Yarui Duan & Song Wang & Yuying Zhou, 2021. "A power penalty approach to a mixed quasilinear elliptic complementarity problem," Journal of Global Optimization, Springer, vol. 81(4), pages 901-918, December.

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