A Modified Wavelet-Meshless Method for Lossy Magnetic Dielectrics at Microwave Frequencies

Afsari, Arman; Movahhedi, Masoud

doi:10.1109/tmag.2012.2228171

Cited by 10 publications

(11 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, eliminating the MMIS is the target of above idea for direct meshless method [14]. Let propose the following class of functions as candidates for the aim which satisfy above scaling function and also shape function properties; this class is different than that of [15].…”

Section: The Modified Radial Point Interpolation Methodsmentioning

confidence: 99%

“…The proposed function (21), potentially, is able to satisfy all mentioned properties of scaling and shape functions. So, it is adequate to concentrate on finding the optimal values for α and β and matching (21) on Figure 1 [15]. For the sake of generality, α = 1.93 and β = 0.94 are suggested as suitable values.…”

Section: The Modified Radial Point Interpolation Methodsmentioning

confidence: 99%

“…The problem under consideration, as a different class than [15], is depicted in Figure 2 where a source located somewhere in space illuminates an elliptic cylinder. In the absence of the scatterer, this source would produce a field filling all of space which is called the incident field.…”

Section: Analysis Of Paramagnetic Scatterersmentioning

confidence: 99%

See 2 more Smart Citations

Proposing a Wavelet Based Meshless Method for Simulation of Conducting Materials

Afsari¹,

Movahhedi²

2013

PIER M

Self Cite

View full text Add to dashboard Cite

Abstract-This work focuses on the development of multiscale meshless technique in area of scattered fields from paramagnetic scatterers. The radial point interpolation method (RPIM), as the most common meshless technique, is employed for above purpose. Due to high frequency analysis, some special considerations must be applied, particularly in subdomains near the incident face. So, to ensure the accuracy, a multiscale meshless technique in wavelet frames sounds necessary. Simulating the scatterers using above method, specifically an elliptic paramagnetic scatterer, shows some efficient aspects such as less computational time and more precision compared with some other numerical methods.

show abstract

Section: The Modified Radial Point Interpolation Methodsmentioning

confidence: 99%

Section: The Modified Radial Point Interpolation Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Proposing a Wavelet Based Meshless Method for Simulation of Conducting Materials

Afsari¹,

Movahhedi²

2013

PIER M

Self Cite

View full text Add to dashboard Cite

show abstract

“…Inevitably, the shape functions will construct the system of equations (as it will be observed in the following section) and their existence and application are realized by basis functions through MMIS. The idea of eliminating the MMIS in RPIM for reducing the computational time in multiresolution analysis as an efficient approach has been proposed recently [8].…”

Section: Introductionmentioning

confidence: 99%

“…In comparison with [8], the present approach illustrates a deterministic basis function (DBF) by which the Schrodinger and then the Laplace and electromagnetic wave equations are solved without any need for MMIS, and without any obligation 0018-9464 © 2014 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.…”

Section: Introductionmentioning

confidence: 99%

An Adaptive Radial Point Interpolation Meshless Method for Simulation of Electromagnetic and Optical Fields

Afsari

Movahhedi

2014

IEEE Trans. Magn.

Self Cite

View full text Add to dashboard Cite

This paper is going to handle an adaptive meshless method by which a wide range of microwave problems in terms of frequency are numerically solved whose accuracy and computational time are acceptable with respect to some other numerical schemes. As the origin, in the process of imposing the conventional radial point interpolation method (CRPIM) to laser problems, a special function was found, which results in a well-behaved basis function for CRPIM. This basis function possesses two fundamental advantages in view of meshless methods. At first, and in contradiction with conventional basis functions, the shape parameters are deterministic, which results in a higher accuracy than conventional basis functions. Second, it will construct the shape functions without any need for the middle matrix inversion step. Also, the adaptive basis function inherits the fundamental properties of fields. Hence, the computational time is reduced, approximately by half, comparing with the conventional basis functions. To investigate the proposed adaptive method named quantum radial point interpolation method in different areas of interest, it has been employed to solve three classes of partial differential equations in computational electromagnetics, i.e., Schrodinger's equation in a quantum wave laser, Laplace and electromagnetic wave equations. The results are more accurate and faster than the CRPIM and the finite-element method.Index Terms-Basis functions, conventional radial point interpolation method (CRPIM), Gaussian wave packets (GWPs), quantum RPIM (QRPIM), shape parameters.

show abstract

Toward a computational multiresolution analysis for radial point interpolation meshless method

Afsari

Chehrazi

Movahhedi

2014

Int J Numerical Modelling

Self Cite

View full text Add to dashboard Cite

SUMMARYIn 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.

show abstract

A Modified Wavelet-Meshless Method for Lossy Magnetic Dielectrics at Microwave Frequencies

Cited by 10 publications

References 9 publications

Proposing a Wavelet Based Meshless Method for Simulation of Conducting Materials

Proposing a Wavelet Based Meshless Method for Simulation of Conducting Materials

An Adaptive Radial Point Interpolation Meshless Method for Simulation of Electromagnetic and Optical Fields

Toward a computational multiresolution analysis for radial point interpolation meshless method

Contact Info

Product

Resources

About