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An Element-free Galerkin method for solving the two-dimensional hyperbolic problem

Author

Listed:
  • Qin, Xinqiang
  • Duan, Xianbao
  • Hu, Gang
  • Su, Lijun
  • Wang, Xing

Abstract

An element-free Galerkin (EFG) method for solving two-dimensional hyperbolic problems is derived. The proposed method is based on the weak form of the EFG method and the moving least square (MLS) approximation. Error analysis shows that the error between the numerical and exact solutions are directly related to the radius of the weight functions which influence the space and time steps. Three numerical examples are given to validate the accuracy and efficiency of the proposed method.

Suggested Citation

  • Qin, Xinqiang & Duan, Xianbao & Hu, Gang & Su, Lijun & Wang, Xing, 2018. "An Element-free Galerkin method for solving the two-dimensional hyperbolic problem," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 106-120.
    • Handle: RePEc:eee:apmaco:v:321:y:2018:i:c:p:106-120
    DOI: 10.1016/j.amc.2017.10.040
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    Cited by:

    1. Tinesh Pathania & Andrea Bottacin-Busolin & A. K. Rastogi & T. I. Eldho, 2019. "Simulation of Groundwater Flow in an Unconfined Sloping Aquifer Using the Element-Free Galerkin Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(8), pages 2827-2845, June.
    2. Tinesh Pathania & T. I. Eldho, 2020. "A Moving Least Squares Based Meshless Element-Free Galerkin Method for the Coupled Simulation of Groundwater Flow and Contaminant Transport in an Aquifer," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(15), pages 4773-4794, December.

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