Toward a computational multiresolution analysis for radial point interpolation meshless method. (10th March 2014)

• Record Type: Journal Article
• Authors: Afsari, Arman; Chehrazi, Akram; Movahhedi, Masoud
• Is Part Of: International journal of numerical modelling. Volume 28:Number 1(2015:Jan./Feb.)
• Page Start: 1
• Page End: 20
• Publication Date: 2014-03-10
• Subjects: Electric networks -- Mathematical models -- Periodicals; Electronics -- Mathematical models -- Periodicals; 621.3011
• DOI: 10.1002/jnm.1977
• Languages: English
• ISSNs: 0894-3370

Abstract

<abstract abstract-type="main" id="jnm1977-abs-0001"> <title>SUMMARY</title> <p id="jnm1977-para-0004">In this work, the application of Daubechies' scaling functions (DSFs) in computational engineering, particulary radial point interpolation meshless method (RPIM) in electromagnetic engineering, is studied. This analysis indicates some shortcomings of DSFs in computational engineering. In fact, the DSFs take the role of shape functions in RPIM, but they do not hold some general properties of shape functions. Modifying these shortcomings according to engineering requirements as time consumption rate, new scaling (shape) functions are derived, and testing them into two important classes of electromagnetic problems, that is, incident wave on dielectrics and scatterers, gives good agreement with exact solutions. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>