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

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...

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Bibliographic Details
Published in:Applications of mathematics (Prague) Vol. 62; no. 5; pp. 477 - 492
Main Authors: Tang, Yaozong, Li, Xiaolin
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2017
Springer Nature B.V
Subjects:
Analysis
Applications of Mathematics
Boundary value problems
Classical and Continuum Physics
Error analysis
Finite element method
Galerkin method
Mathematical analysis
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Meshless methods
Numerical analysis
Optimization
Theoretical
error estimate
65N12
convergence
meshless
65M60
element-free Galerkin method
hyperbolic partial differential equation
65N30
ISSN:0862-7940, 1572-9109
Online Access:Get full text
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Summary: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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ISSN:0862-7940
1572-9109
DOI:10.21136/AM.2017.0061-17