Title
Selected computational aspects of the meshless finite difference method
Abstract
Meshless Finite Difference Method (MFDM) is nowadays a powerful engineering tool for numerical analysis of boundary value problems. Nowadays, its computational capabilities are not fully used mainly due to the lack of suitable commercial software. This paper briefly presents current state-of-the-art of the MFDM solution approach as well as deals with the selected computational aspects of the MFDM. A set of Matlab functions written by the author is attached to the paper. Techniques for generation of nodes, MFD stars, formulas, equations as well as local approximation technique and numerical integration schemes are discussed there.
Year
DOI
Venue
2013
10.1007/s11075-012-9614-6
Numerical Algorithms
Keywords
Field
DocType
Meshless methods,Meshless finite difference method,MWLS approximation,Implementation in Matlab
Mathematical optimization,MATLAB,Meshfree methods,Numerical integration,Commercial software,Computational science,Finite difference method,Singular boundary method,Numerical analysis,Mathematics,Regularized meshless method
Journal
Volume
Issue
ISSN
63
1
1017-1398
Citations 
PageRank 
References 
4
0.73
0
Authors
1
Name
Order
Citations
PageRank
Sławomir Milewski140.73