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

Yaozong Tang; Xiaolin Li

Applications of Mathematics (2017)

  • Volume: 62, Issue: 5, page 477-492
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Tang, Yaozong, and Li, Xiaolin. "Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems." Applications of Mathematics 62.5 (2017): 477-492. <http://eudml.org/doc/294319>.

@article{Tang2017,
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.},
author = {Tang, Yaozong, Li, Xiaolin},
journal = {Applications of Mathematics},
keywords = {meshless; element-free Galerkin method; hyperbolic partial differential equation; error estimate; convergence},
language = {eng},
number = {5},
pages = {477-492},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems},
url = {http://eudml.org/doc/294319},
volume = {62},
year = {2017},
}

TY - JOUR
AU - Tang, Yaozong
AU - Li, Xiaolin
TI - Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems
JO - Applications of Mathematics
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 62
IS - 5
SP - 477
EP - 492
AB - 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.
LA - eng
KW - meshless; element-free Galerkin method; hyperbolic partial differential equation; error estimate; convergence
UR - http://eudml.org/doc/294319
ER -

References

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