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Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems

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Abstract

The meshless element-free Galerkin method is developed for numerical analysis of hyperbolic initial-boundary value problems. In this method, only scattered nodes are required in the domain. Computational formulae of the method are analyzed in detail. Error estimates and convergence are also derived theoretically and verified numerically. Numerical examples validate the performance and efficiency of the method.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Kashgar University, Kashgar, 844000, China

    Yaozong Tang

  2. School of Mathematical Sciences, Chongqing Normal University, Chongqing, 400047, China

    Xiaolin Li

Authors
  1. Yaozong Tang
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  2. Xiaolin Li
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Corresponding author

Correspondence to Xiaolin Li.

Additional information

The research has been supported by the National Natural Science Foundation of China (Grant No. 11471063), the Chongqing Research Program of Basic Research and Frontier Technology (Grant Nos. cstc2015jcyjBX0083 and cstc2017jcyjAX0176) and the Scientific and Technological Research Program of Chongqing Municipal Education Commission (Grant No. KJ1600330).

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Tang, Y., Li, X. Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems. Appl Math 62, 477–492 (2017). https://doi.org/10.21136/AM.2017.0061-17

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