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

被引:0
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作者
Yaozong Tang
Xiaolin Li
机构
[1] Kashgar University,College of Mathematics and Statistics
[2] Chongqing Normal University,School of Mathematical Sciences
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关键词
meshless; element-free Galerkin method; hyperbolic partial differential equation; error estimate; convergence; 65N12; 65M60; 65N30;
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摘要
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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页码:477 / 492
页数:15
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