NDLI: A comparison of three meshless algorithms: Radial point interpolation, non-symmetric and symmetric Kansa method

Content Provider	IEEE Xplore Digital Library
Author	Kaufmann, T. Fumeaux, C. Engstrom, C.
Copyright Year	2011
Description	Author affiliation: Laboratory for Electromagnetic Fields and Microwave Electronics (IFH), ETH Zurich, CH-8092, Switzerland (Engstrom, C.) \|\| School of Electrical & Electronic Engineering, The University of Adelaide, South Australia 5005, Australia (Kaufmann, T.; Fumeaux, C.)
Abstract	Three different meshless methods based on radial basis functions are investigated for the numerical solution of electromagnetic eigenvalue problems. The three algorithms, the non-symmetric Kansa approach, the symmetric Kansa method and the radial point interpolation method, are first described putting emphasis on the influence of their formalism on practical implementation. The convergence rate of these meshless methods is then investigated, showing through selected examples surprisingly similar performance despite very different formulations. The most appropriate algorithm selection will then depend on efficiency and ease of implementation for the class of problems considered, i.e. eigenvalue problems, frequency-domain or time-domain. When compared to various finite-element (FE) implementations for the presented numerical examples, the meshless methods appear more accurate and efficient than the FE methods. Those results combined with the convenience of node distribution adaptation makes meshless algorithms very promising for electromagnetic simulations.
Starting Page	1
Ending Page	4
File Size	924774
Page Count	4
File Format	PDF
ISBN	9781612847542
ISSN	0149645X
e-ISBN	9781612847573
e-ISBN	9781612847566
DOI	10.1109/MWSYM.2011.5972605
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-06-05
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Eigenvalues and eigenfunctions Symmetric matrices Nickel Shape Accuracy Convergence Interpolation radial basis functions eigenvalues and eigenfunctions meshless methods finite difference methods
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering Radiation

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